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is-link">Go</button> </div> </div> </form> </div> </div> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Ao%2C+P&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Ao%2C+P&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Ao%2C+P&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> </ul> </nav> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.01195">arXiv:2408.01195</a> <span> [<a href="https://arxiv.org/pdf/2408.01195">pdf</a>, <a href="https://arxiv.org/format/2408.01195">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> </div> </div> <p class="title is-5 mathjax"> Kinetics of vapor-liquid transition of active matter system under quasi one-dimensional confinement </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=A%2C+P">Parameshwaran A</a>, <a href="/search/cond-mat?searchtype=author&query=Gupta%2C+B+S">Bhaskar Sen Gupta</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2408.01195v1-abstract-short" style="display: inline;"> We study the kinetics of vapor-liquid phase separation in a quasi one-dimensional confined active matter system using molecular dynamics simulations. Activity is invoked via the Vicsek rule, while passive interaction follows the Lennard-Jones potential. With the system density near the vapor branch, the evolution morphology features disconnected liquid clusters. In the passive limit, coarsening be… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.01195v1-abstract-full').style.display = 'inline'; document.getElementById('2408.01195v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.01195v1-abstract-full" style="display: none;"> We study the kinetics of vapor-liquid phase separation in a quasi one-dimensional confined active matter system using molecular dynamics simulations. Activity is invoked via the Vicsek rule, while passive interaction follows the Lennard-Jones potential. With the system density near the vapor branch, the evolution morphology features disconnected liquid clusters. In the passive limit, coarsening begins with nucleation, followed by an evaporation-condensation growth mechanism, leading to a metastable state without complete phase separation. We aim to understand the impact of Vicsek-like self-propulsion on the structure and growth of these clusters. Our key finding is that Vicsek activity results in a distinct growth mechanism, notably rapid cluster growth and the breakdown of the metastable state through ballistic aggregation. Relevant growth laws are analyzed and explained using appropriate theoretical models. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.01195v1-abstract-full').style.display = 'none'; document.getElementById('2408.01195v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2312.05820">arXiv:2312.05820</a> <span> [<a href="https://arxiv.org/pdf/2312.05820">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> </div> <p class="title is-5 mathjax"> Radiation resistance of fine-grained ceramics Y2.5Nd0.5Al5O12 under Xe-ions irradiation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=S.%2C+A+L">Alekseeva L. S.</a>, <a href="/search/cond-mat?searchtype=author&query=V.%2C+N+A">Nokhrin A. V.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+Y+P">Yunin P. A.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+N+A">Nazarov A. A.</a>, <a href="/search/cond-mat?searchtype=author&query=I.%2C+O+A">Orlova A. I.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+S+V">Skuratov V. A.</a>, <a href="/search/cond-mat?searchtype=author&query=T.%2C+I+A">Issatov A. T.</a>, <a href="/search/cond-mat?searchtype=author&query=S.%2C+K+R">Kovylin R. S.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+M+A">Murashov A. A.</a>, <a href="/search/cond-mat?searchtype=author&query=S.%2C+B+M">Boldin M. S.</a>, <a href="/search/cond-mat?searchtype=author&query=V.%2C+V+A">Voronin A. V.</a>, <a href="/search/cond-mat?searchtype=author&query=N.%2C+C+V">Chuvil'deev V. N.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+Z+D">Zotov D. A.</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2312.05820v1-abstract-short" style="display: inline;"> Oxide Y2.5Nd0.5Al5O12 (YAG:Nd) with garnet structure was synthesized in the powder and ceramics forms. Fine-grained YAG:Nd ceramics with a relative density of ~99% were obtained by the Spark Plasma Sintering method (SPS). The radiation resistance of ceramics was studied under irradiation with swift Xe-ions (E = 146 MeV). A gradient defect structure is formed in irradiated ceramics, varying from la… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.05820v1-abstract-full').style.display = 'inline'; document.getElementById('2312.05820v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2312.05820v1-abstract-full" style="display: none;"> Oxide Y2.5Nd0.5Al5O12 (YAG:Nd) with garnet structure was synthesized in the powder and ceramics forms. Fine-grained YAG:Nd ceramics with a relative density of ~99% were obtained by the Spark Plasma Sintering method (SPS). The radiation resistance of ceramics was studied under irradiation with swift Xe-ions (E = 146 MeV). A gradient defect structure is formed in irradiated ceramics, varying from layer to layer. The strained YAG phase formed as a result of Xe ions irradiation is localized in a near-surface layer with a thickness of ~5 渭m. Full amorphization of the samples was observed under irradiation with a fluence of 1x10^13 cm-2. The calculated critical fluence was 6.5x10^12 cm-2, which corresponded to 0.03 dpa. The microhardness of the surface layers of irradiated ceramics is less than the central layers, and, in general, decreases with increasing ion fluence. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.05820v1-abstract-full').style.display = 'none'; document.getElementById('2312.05820v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 December, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">26 pages, 9 figures, 33 references</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2306.09810">arXiv:2306.09810</a> <span> [<a href="https://arxiv.org/pdf/2306.09810">pdf</a>, <a href="https://arxiv.org/format/2306.09810">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> </div> <p class="title is-5 mathjax"> Hall anomaly by vacancies vs fragments of vortex lattice: Quantitative analyses of new evidences </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Guo%2C+R">Ruonan Guo</a>, <a href="/search/cond-mat?searchtype=author&query=Chen%2C+Y">Yong-Cong Chen</a>, <a href="/search/cond-mat?searchtype=author&query=Jiang%2C+D">Da Jiang</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2306.09810v2-abstract-short" style="display: inline;"> Despite numerous recent studies on the Hall anomaly following the discovery of cuprate superconductivity, the origin of this phenomenon remains contentious. We demonstrate that a previously proposed mechanism, in which vacancy-on-fragment of the flux-line crystal, provides an alternative explanation for the observations of $\rm{Bi_{2}Sr_{2}CaCu_{2}O_{x}}$ thin films made by Nitzav and Kanigel [Phy… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.09810v2-abstract-full').style.display = 'inline'; document.getElementById('2306.09810v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.09810v2-abstract-full" style="display: none;"> Despite numerous recent studies on the Hall anomaly following the discovery of cuprate superconductivity, the origin of this phenomenon remains contentious. We demonstrate that a previously proposed mechanism, in which vacancy-on-fragment of the flux-line crystal, provides an alternative explanation for the observations of $\rm{Bi_{2}Sr_{2}CaCu_{2}O_{x}}$ thin films made by Nitzav and Kanigel [Phys. Rev. B. 107, 094516 (2023)], without the need for adjustable parameters. Specifically, we show that the power-law behavior of $蟻_{xy}$ over $蟻_{xx}$, with and without sign reversal, is consistent with the picture of vacancies versus fragments. Interestingly, we find that the effective length of vortex lines is consistently 1.5 unit cells (UC) across different experiments, independent of film thickness. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.09810v2-abstract-full').style.display = 'none'; document.getElementById('2306.09810v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 November, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">arXiv admin note: substantial text overlap with arXiv:2206.03384</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2206.03384">arXiv:2206.03384</a> <span> [<a href="https://arxiv.org/pdf/2206.03384">pdf</a>, <a href="https://arxiv.org/format/2206.03384">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.106.104507">10.1103/PhysRevB.106.104507 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Hall anomaly by vacancies in pinned lattice of vortices: A quantitative analysis on the thin-film data of BSCCO </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Guo%2C+R">Ruonan Guo</a>, <a href="/search/cond-mat?searchtype=author&query=Chen%2C+Y">Yong-Cong Chen</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2206.03384v1-abstract-short" style="display: inline;"> Hall anomaly, as appears in the mixed-state Hall resistivity of type-II superconductors, has had numerous theories but yet a consensus on its origin. In this work, we conducted a quantitative analysis of the magnetotransport measurements on BSCCO thin films by Zhao et al. [Phys. Rev. Lett. 122, 247001 (2019)] and validate a previously proposed vacancy mechanism [cf. J. Phys. Condens. Matter. 10, L… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.03384v1-abstract-full').style.display = 'inline'; document.getElementById('2206.03384v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2206.03384v1-abstract-full" style="display: none;"> Hall anomaly, as appears in the mixed-state Hall resistivity of type-II superconductors, has had numerous theories but yet a consensus on its origin. In this work, we conducted a quantitative analysis of the magnetotransport measurements on BSCCO thin films by Zhao et al. [Phys. Rev. Lett. 122, 247001 (2019)] and validate a previously proposed vacancy mechanism [cf. J. Phys. Condens. Matter. 10, L677 (1998)] with many-body vortex correlations for the phenomenon. The model attributes the Hall anomaly to the motion of vacancies in pinned fragments of vortex lattice. Its validity is first examined by an exploration on the vortex states near the Kosterlitz-Thouless transition on the vortex crystal. Comparisons are then carried out between the measured activation energies with the calculated creation energy of the vortex-anti-vortex pair and the vacancy energy on the flux-line lattice, with no adjustable parameter. Our analysis elucidates the theoretical basis and prerequisites of the vacancy model. In particular, the vacancy activation energies are an order of magnitude smaller than that of a sole vortex line. The proposed mechanism may provide a macro-theoretical framework for other studies. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.03384v1-abstract-full').style.display = 'none'; document.getElementById('2206.03384v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2022. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2204.10401">arXiv:2204.10401</a> <span> [<a href="https://arxiv.org/pdf/2204.10401">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.32326/1814-9146-2023-85-1-14-25">10.32326/1814-9146-2023-85-1-14-25 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Investigation of the effect of the grain sizes on the dynamic strength of the fine-grained alumina ceramics obtained by Spark Plasma Sintering </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=V.%2C+M+N">Melekhin N. V.</a>, <a href="/search/cond-mat?searchtype=author&query=S.%2C+B+M">Boldin M. S.</a>, <a href="/search/cond-mat?searchtype=author&query=M.%2C+B+A">Bragov A. M.</a>, <a href="/search/cond-mat?searchtype=author&query=R.%2C+F+A">Filippov A. R.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+P+A">Popov A. A.</a>, <a href="/search/cond-mat?searchtype=author&query=V.%2C+S+S">Shotin S. V.</a>, <a href="/search/cond-mat?searchtype=author&query=V.%2C+N+A">Nokhrin A. V.</a>, <a href="/search/cond-mat?searchtype=author&query=N.%2C+C+V">Chuvil'deev V. N.</a>, <a href="/search/cond-mat?searchtype=author&query=A.%2C+M+A">Murashov A. A.</a>, <a href="/search/cond-mat?searchtype=author&query=Yu.%2C+T+N">Tabachkova N. Yu.</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2204.10401v1-abstract-short" style="display: inline;"> The results of dynamic strength tests of the alumina ceramics with various grain sizes are presented. The ceramics were obtained by Spark Plasma Sintering (SPS) of industrial submicron and fine Al2O3 powders. The heating up was performed with the rate of 10 oC/min; the grain sizes in the ceramics was controlled by varying the SPS temperature and the heating rate as well as by varying the initial s… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2204.10401v1-abstract-full').style.display = 'inline'; document.getElementById('2204.10401v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2204.10401v1-abstract-full" style="display: none;"> The results of dynamic strength tests of the alumina ceramics with various grain sizes are presented. The ceramics were obtained by Spark Plasma Sintering (SPS) of industrial submicron and fine Al2O3 powders. The heating up was performed with the rate of 10 oC/min; the grain sizes in the ceramics was controlled by varying the SPS temperature and the heating rate as well as by varying the initial sizes of the Al2O3 particles in the powders. The ceramics had a high density (over 98%) and a uniform fine-grained microstructure (the mean grain sizes varied from 0.8 to 13.4 mkm). The dynamic compressing tests were carried out by modified Kolsky method with using split Hopkinson pressure bar. The tests were performed at room temperature using a 20-mm PG-20 gas gun with the strain rate of ~10^3 s-1. The dependence of the dynamic ultimate strength of alumina on the grain size was found for the first time to have a non-monotonous character (with a maximum). The maximum value of the dynamic ultimate compression strength (SY = 1060 MPa) was provided at the mean grain size of ~2.9-3 mkm. The reduction of SY for alumina in the range of submicron grain sizes was shown to originate from the reduction of the relative density of the ceramics sintered at lower SPS temperatures. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2204.10401v1-abstract-full').style.display = 'none'; document.getElementById('2204.10401v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 April, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">16 pages, 1 table, 6 figures, 28 references</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2002.00549">arXiv:2002.00549</a> <span> [<a href="https://arxiv.org/pdf/2002.00549">pdf</a>, <a href="https://arxiv.org/format/2002.00549">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantum Physics">quant-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevApplied.13.024041">10.1103/PhysRevApplied.13.024041 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Probing local pressure environment in anvil cells with nitrogen vacancy (NV-) centers in diamond </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ho%2C+K+O">Kin On Ho</a>, <a href="/search/cond-mat?searchtype=author&query=Leung%2C+M+Y">Man Yin Leung</a>, <a href="/search/cond-mat?searchtype=author&query=Jiang%2C+Y">Yaxin Jiang</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+K+P">Kin Pong Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhang%2C+W">Wei Zhang</a>, <a href="/search/cond-mat?searchtype=author&query=Yip%2C+K+Y">King Yau Yip</a>, <a href="/search/cond-mat?searchtype=author&query=Pang%2C+Y+Y">Yiu Yung Pang</a>, <a href="/search/cond-mat?searchtype=author&query=Wong%2C+K+C">King Cho Wong</a>, <a href="/search/cond-mat?searchtype=author&query=Goh%2C+S+K">Swee K. Goh</a>, <a href="/search/cond-mat?searchtype=author&query=Yang%2C+S">Sen Yang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2002.00549v1-abstract-short" style="display: inline;"> Important discoveries have frequently been made through the studies of matter under high pressure. The conditions of the pressure environment are important for the interpretation of the experimental results. Due to various restrictions inside the pressure cell, detailed information relevant to the pressure environment, such as the pressure distribution, can be hard to obtain experimentally. Here w… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2002.00549v1-abstract-full').style.display = 'inline'; document.getElementById('2002.00549v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2002.00549v1-abstract-full" style="display: none;"> Important discoveries have frequently been made through the studies of matter under high pressure. The conditions of the pressure environment are important for the interpretation of the experimental results. Due to various restrictions inside the pressure cell, detailed information relevant to the pressure environment, such as the pressure distribution, can be hard to obtain experimentally. Here we present the study of pressure distributions inside the pressure medium under different experimental conditions with NV centers in diamond particles as the sensor. These studies not only show a good spatial resolution, wide temperature and pressure working ranges, compatibility of the existing pressure cell design with the new method, but also demonstrate the usefulness to measure with these sensors as the pressure distribution is sensitive to various factors. The method and the results will benefit many disciplines such as material research and phase transitions in fluid dynamics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2002.00549v1-abstract-full').style.display = 'none'; document.getElementById('2002.00549v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 February, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Applied 13, 024041 (2020) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1907.09263">arXiv:1907.09263</a> <span> [<a href="https://arxiv.org/pdf/1907.09263">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.124.249701">10.1103/PhysRevLett.124.249701 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Comment on Sign-Reversing Hall Effect in Atomically Thin High-Temperature Bi type Superconductors </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1907.09263v1-abstract-short" style="display: inline;"> What is the fundamental reason for Hall Anomaly in Type II Superconductors: Independent Vortex Dynamics Effect or a Manifestation of Vortex Many-Body Effect? For a long time researchers in this field had not realized the importance of vortex many-body effects in the understanding of the so-called anomalous Hall effect. In this note I give a brief account of the situation in the light of a recent P… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1907.09263v1-abstract-full').style.display = 'inline'; document.getElementById('1907.09263v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1907.09263v1-abstract-full" style="display: none;"> What is the fundamental reason for Hall Anomaly in Type II Superconductors: Independent Vortex Dynamics Effect or a Manifestation of Vortex Many-Body Effect? For a long time researchers in this field had not realized the importance of vortex many-body effects in the understanding of the so-called anomalous Hall effect. In this note I give a brief account of the situation in the light of a recent Phys Rev Lett. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1907.09263v1-abstract-full').style.display = 'none'; document.getElementById('1907.09263v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 July, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">3 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1811.10131">arXiv:1811.10131</a> <span> [<a href="https://arxiv.org/pdf/1811.10131">pdf</a>, <a href="https://arxiv.org/ps/1811.10131">ps</a>, <a href="https://arxiv.org/format/1811.10131">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Applied Physics">physics.app-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantum Physics">quant-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.122.257402">10.1103/PhysRevLett.122.257402 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Resonant confinement of excitonic polariton and ultra-efficient light harvest in artificial photosynthesis </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Chen%2C+Y">Yong-Cong Chen</a>, <a href="/search/cond-mat?searchtype=author&query=Song%2C+B">Bo Song</a>, <a href="/search/cond-mat?searchtype=author&query=Leggett%2C+A+J">Anthony J. Leggett</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X">Xiaomei Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1811.10131v1-abstract-short" style="display: inline;"> We show that in the recent artificial light-harvesting experiment [Angewandte Chemie Intl. Ed. 55, 2759 (2016)] on organic nanocrystals self-assembled from difluoroboron chromophores, the spontaneous emission of an excited pigment should undergo a two-step process. It would first decay to an excitonic polariton confined by cavity resonance via strong photon-exciton coupling. The captive intermedia… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10131v1-abstract-full').style.display = 'inline'; document.getElementById('1811.10131v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1811.10131v1-abstract-full" style="display: none;"> We show that in the recent artificial light-harvesting experiment [Angewandte Chemie Intl. Ed. 55, 2759 (2016)] on organic nanocrystals self-assembled from difluoroboron chromophores, the spontaneous emission of an excited pigment should undergo a two-step process. It would first decay to an excitonic polariton confined by cavity resonance via strong photon-exciton coupling. The captive intermediate could then funnel the energy directly to doped acceptors, leading to the observed over 90% transfer efficiency at less than 1/1000 acceptor-donor ratio. Theoretical, parameter-free analyses are in quantitative agreement with the experiment. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10131v1-abstract-full').style.display = 'none'; document.getElementById('1811.10131v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 October, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 122, 257402 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1611.07140">arXiv:1611.07140</a> <span> [<a href="https://arxiv.org/pdf/1611.07140">pdf</a>, <a href="https://arxiv.org/format/1611.07140">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> </div> <p class="title is-5 mathjax"> Potential landscape of high dimensional nonlinear stochastic dynamics with large noise </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Tang%2C+Y">Ying Tang</a>, <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Wang%2C+G">Gaowei Wang</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X">Xiaomei Zhu</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1611.07140v2-abstract-short" style="display: inline;"> Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including cell-fate decision in developmental processes as well as genesis and progression of cancers. While various attempts have been made to construct potential landscape in high dimensional systems and to estimate rare transitions, they are practically limited to cases where either nois… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.07140v2-abstract-full').style.display = 'inline'; document.getElementById('1611.07140v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1611.07140v2-abstract-full" style="display: none;"> Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including cell-fate decision in developmental processes as well as genesis and progression of cancers. While various attempts have been made to construct potential landscape in high dimensional systems and to estimate rare transitions, they are practically limited to cases where either noise is small or detailed balance condition holds. A general and practical approach to investigate nonequilibrium systems typically subject to finite or large multiplicative noise and breakdown of detailed balance remains elusive. Here, we formulate a computational framework to address this important problem. The current approach is based on a least action principle to efficiently calculate potential landscapes of systems under arbitrary noise strength and without detailed balance. With the deterministic stability structure preserving A-type stochastic integration, the potential barrier between different (local) stable stables is directly computable. We demonstrate our approach in a numerically accurate manner through solvable examples. We further apply the method to investigate the role of noise on tumor heterogeneity in a 38 dimensional network model for prostate cancer, and provide a new strategy on controlling cell populations by manipulating noise strength. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.07140v2-abstract-full').style.display = 'none'; document.getElementById('1611.07140v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 June, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 21 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">14 pages, 3 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1603.07927">arXiv:1603.07927</a> <span> [<a href="https://arxiv.org/pdf/1603.07927">pdf</a>, <a href="https://arxiv.org/format/1603.07927">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Mathematical Physics">math-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Molecular Networks">q-bio.MN</span> </div> </div> <p class="title is-5 mathjax"> On Uniqueness of "SDE Decomposition" in A-type Stochastic Integration </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Tang%2C+Y">Ying Tang</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1603.07927v1-abstract-short" style="display: inline;"> An innovative theoretical framework for stochastic dynamics based on a decomposition of a stochastic differential equation (SDE) has been developed with an evident advantage in connecting deterministic and stochastic dynamics, as well as useful applications in physics, engineering, chemistry and biology. It introduces the A-type stochastic integration for SDE beyond traditional Ito's or Stratonovi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1603.07927v1-abstract-full').style.display = 'inline'; document.getElementById('1603.07927v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1603.07927v1-abstract-full" style="display: none;"> An innovative theoretical framework for stochastic dynamics based on a decomposition of a stochastic differential equation (SDE) has been developed with an evident advantage in connecting deterministic and stochastic dynamics, as well as useful applications in physics, engineering, chemistry and biology. It introduces the A-type stochastic integration for SDE beyond traditional Ito's or Stratonovich's interpretation. Serious question on its uniqueness was recently raised. We provide here both mathematical and physical demonstrations that the uniqueness is guaranteed. Such discussion leads to a better understanding on the robustness of the novel framework. We also discuss the limitation of a related approach of obtaining potential function from steady state distribution. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1603.07927v1-abstract-full').style.display = 'none'; document.getElementById('1603.07927v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 March, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 1 figure</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1409.0498">arXiv:1409.0498</a> <span> [<a href="https://arxiv.org/pdf/1409.0498">pdf</a>, <a href="https://arxiv.org/format/1409.0498">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevE.91.042108">10.1103/PhysRevE.91.042108 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Tang%2C+Y">Ying Tang</a>, <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Chen%2C+J">Jianhong Chen</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1409.0498v2-abstract-short" style="display: inline;"> Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the Boltzmann-Gibbs distribution, without which classical equilibrium thermodynamical quantities could not be defined. Here, we construct dynamically the potential functio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1409.0498v2-abstract-full').style.display = 'inline'; document.getElementById('1409.0498v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1409.0498v2-abstract-full" style="display: none;"> Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the Boltzmann-Gibbs distribution, without which classical equilibrium thermodynamical quantities could not be defined. Here, we construct dynamically the potential function through decomposing the system into a dissipative part and a conservative part, and develop a nonequilibrium theory by defining thermodynamical quantities based on the potential function. Concepts for equilibrium can thus be naturally extended to nonequilibrium steady state. We elucidate this procedure explicitly in a class of time-dependent linear diffusive systems without mathematical ambiguity. We further obtain the exact work distribution for an arbitrary control parameter, and work equalities connecting nonequilibrium steady states. Our results provide a direct generalization on Jarzynski equality and Crooks fluctuation theorem to systems without detailed balance. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1409.0498v2-abstract-full').style.display = 'none'; document.getElementById('1409.0498v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 April, 2015; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 September, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Physical Review E 91 (4), 042108, 2015 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1402.0416">arXiv:1402.0416</a> <span> [<a href="https://arxiv.org/pdf/1402.0416">pdf</a>, <a href="https://arxiv.org/format/1402.0416">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevE.89.062112">10.1103/PhysRevE.89.062112 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Non-equilibrium work relation beyond Boltzmann-Gibbs distribution </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Tang%2C+Y">Ying Tang</a>, <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1402.0416v2-abstract-short" style="display: inline;"> The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of non-equilibrium thermodynamical equalities as generalization of the Jarzynski equality, the detailed fluctuation theorem and the Hatano-Sasa's relation. Our result demonstrates that the Jarzynski equality and the detailed fluctuation… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1402.0416v2-abstract-full').style.display = 'inline'; document.getElementById('1402.0416v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1402.0416v2-abstract-full" style="display: none;"> The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of non-equilibrium thermodynamical equalities as generalization of the Jarzynski equality, the detailed fluctuation theorem and the Hatano-Sasa's relation. Our result demonstrates that the Jarzynski equality and the detailed fluctuation theorem remains valid only for systems with the Boltzmann-Gibbs distribution at the equilibrium state, but the Hatano-Sasa's relation is robust with respect to the ambiguity on multiplicative noise. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1402.0416v2-abstract-full').style.display = 'none'; document.getElementById('1402.0416v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 February, 2014; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 February, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1401.7682">arXiv:1401.7682</a> <span> [<a href="https://arxiv.org/pdf/1401.7682">pdf</a>, <a href="https://arxiv.org/format/1401.7682">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1063/1.4890968">10.1063/1.4890968 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Summing over trajectories of stochastic dynamics with multiplicative noise </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Tang%2C+Y">Ying Tang</a>, <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1401.7682v1-abstract-short" style="display: inline;"> We demonstrate that the conventional path integral formulations generate inconsistent results exemplified by the geometric Brownian motion under the general stochastic interpretation. We thus develop a novel path integral formulation for the overdamped Langevin equation with the multiplicative noise. The present path integral leads to the corresponding Fokker-Planck equation, and naturally gives a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1401.7682v1-abstract-full').style.display = 'inline'; document.getElementById('1401.7682v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1401.7682v1-abstract-full" style="display: none;"> We demonstrate that the conventional path integral formulations generate inconsistent results exemplified by the geometric Brownian motion under the general stochastic interpretation. We thus develop a novel path integral formulation for the overdamped Langevin equation with the multiplicative noise. The present path integral leads to the corresponding Fokker-Planck equation, and naturally gives a normalized transition probability consistently in examples for general stochastic interpretations. Our result can be applied to study the fluctuation theorems and numerical calculations based on the path integral framework. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1401.7682v1-abstract-full').style.display = 'none'; document.getElementById('1401.7682v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 January, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 1 figure</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1310.5585">arXiv:1310.5585</a> <span> [<a href="https://arxiv.org/pdf/1310.5585">pdf</a>, <a href="https://arxiv.org/format/1310.5585">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.cplett.2016.10.059">10.1016/j.cplett.2016.10.059 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> A framework towards understanding mesoscopic phenomena: Emergent unpredictability, symmetry breaking and dynamics across scales </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Qian%2C+H">Hong Qian</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Tu%2C+Y">Yuhai Tu</a>, <a href="/search/cond-mat?searchtype=author&query=Wang%2C+J">Jin Wang</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1310.5585v2-abstract-short" style="display: inline;"> By integrating 4 lines of thoughts: symmetry breaking originally advanced by Anderson, bifurcation from nonlinear dynamics, Landau's theory of phase transition, and the mechanism of emergent rare events studied by Kramers, we introduce a possible framework for understanding mesoscopic dynamics that links (i) fast lower level microscopic motions, (ii) movements within each basin at the mid-level, a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1310.5585v2-abstract-full').style.display = 'inline'; document.getElementById('1310.5585v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1310.5585v2-abstract-full" style="display: none;"> By integrating 4 lines of thoughts: symmetry breaking originally advanced by Anderson, bifurcation from nonlinear dynamics, Landau's theory of phase transition, and the mechanism of emergent rare events studied by Kramers, we introduce a possible framework for understanding mesoscopic dynamics that links (i) fast lower level microscopic motions, (ii) movements within each basin at the mid-level, and (iii) higher-level rare transitions between neighboring basins, which have rates that decrease exponentially with the size of the system. In this mesoscopic framework, multiple attractors arise as emergent properties of the nonlinear systems. The interplay between the stochasticity and nonlinearity leads to successive jump-like transitions among different basins. We argue each transition is a dynamic symmetry breaking, with the potential of exhibiting Thom-Zeeman catastrophe as well as phase transition with the breakdown of ergodicity (e.g., cell differentiation). The slow-time dynamics of the nonlinear mesoscopic system is not deterministic, rather it is a discrete stochastic jump process. The existence of these discrete states and the Markov transitions among them are both emergent phenomena. This emergent stochastic jump dynamics then serves as the stochastic element for the nonlinear dynamics of a higher level aggregates on an even larger spatial and slower time scales (e.g., evolution). This description captures the hierarchical structure outlined by Anderson and illustrates two distinct types of limit of a mesoscopic dynamics: A long-time ensemble thermodynamics in terms of time $t$ tending infinity followed by the size of the system $N$ tending infinity, and a short-time trajectory steady state with $N$ tending infinity followed by $t$ tending infinity. With these limits, symmetry breaking and cusp catastrophe are two perspectives of the same mesoscopic system on different time scales. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1310.5585v2-abstract-full').style.display = 'none'; document.getElementById('1310.5585v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 21 October, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">30 pages, 3 figures, 1 table</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Chemical Physics Letters, Vol. 665, pp. 153-161 (2016) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1210.7284">arXiv:1210.7284</a> <span> [<a href="https://arxiv.org/pdf/1210.7284">pdf</a>, <a href="https://arxiv.org/format/1210.7284">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Mathematical Physics">math-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevE.87.062109">10.1103/PhysRevE.87.062109 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Exact Mapping Noisy van der Pol Type Oscillator onto Quasi-symplectic Dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Wang%2C+X">Xinan Wang</a>, <a href="/search/cond-mat?searchtype=author&query=Ma%2C+Y">Yian Ma</a>, <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+B">Bo Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1210.7284v1-abstract-short" style="display: inline;"> We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obtained as a component of the quasi-symplectic dynamics. Based on a stochastic interpretation different from the traditional Ito's and Stratonovich's, we show the corresponding steady state distribution is the familiar Bolt… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1210.7284v1-abstract-full').style.display = 'inline'; document.getElementById('1210.7284v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1210.7284v1-abstract-full" style="display: none;"> We find exact mappings for a class of limit cycle systems with noise onto quasi-symplectic dynamics, including a van der Pol type oscillator. A dual role potential function is obtained as a component of the quasi-symplectic dynamics. Based on a stochastic interpretation different from the traditional Ito's and Stratonovich's, we show the corresponding steady state distribution is the familiar Boltzmann-Gibbs type for arbitrary noise strength. The result provides a new angle for understanding processes without detailed balance and can be verified by experiments. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1210.7284v1-abstract-full').style.display = 'none'; document.getElementById('1210.7284v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 October, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 2 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. E 87, 062109, 2013 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1203.6600">arXiv:1203.6600</a> <span> [<a href="https://arxiv.org/pdf/1203.6600">pdf</a>, <a href="https://arxiv.org/format/1203.6600">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1742-5468/2012/07/P07010">10.1088/1742-5468/2012/07/P07010 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Beyond It么 versus Stratonovich </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Yuan%2C+R">Ruoshi Yuan</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1203.6600v3-abstract-short" style="display: inline;"> Recently, a novel framework to handle stochastic processes has emerged from a series of studies in biology, showing situations beyond 'It么 versus Stratonovich'. Its internal consistency can be demonstrated via the zero mass limit of a generalized Klein-Kramers equation. Moreover, the connection to other integrations becomes evident: the obtained Fokker-Planck equation defines a new type of stochas… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1203.6600v3-abstract-full').style.display = 'inline'; document.getElementById('1203.6600v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1203.6600v3-abstract-full" style="display: none;"> Recently, a novel framework to handle stochastic processes has emerged from a series of studies in biology, showing situations beyond 'It么 versus Stratonovich'. Its internal consistency can be demonstrated via the zero mass limit of a generalized Klein-Kramers equation. Moreover, the connection to other integrations becomes evident: the obtained Fokker-Planck equation defines a new type of stochastic calculus that in general differs from the 伪-type interpretation. A unique advantage of this new approach is a natural correspondence between stochastic and deterministic dynamics, which is useful or may even be essential in practice. The core of the framework is a transformation from the usual Langevin equation to a form that contains a potential function with two additional dynamical matrices, which reveals an underlying symplectic structure. The framework has a direct physical meaning and a straightforward experimental realization. A recent experiment has offered a first empirical validation of this new stochastic integration. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1203.6600v3-abstract-full').style.display = 'none'; document.getElementById('1203.6600v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 September, 2012; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 29 March, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages, 1 figure</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">MSC Class:</span> 92B05 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Stat. Mech. (2012) P07010 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1107.5864">arXiv:1107.5864</a> <span> [<a href="https://arxiv.org/pdf/1107.5864">pdf</a>, <a href="https://arxiv.org/ps/1107.5864">ps</a>, <a href="https://arxiv.org/format/1107.5864">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevE.84.061106">10.1103/PhysRevE.84.061106 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nonequilibrium Steady State Driven by a Nonlinear Drift Force </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Kwon%2C+C">Chulan Kwon</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1107.5864v1-abstract-short" style="display: inline;"> We investigate the properties of the nonequilibrium steady state for the stochastic system driven by a nonlinear drift force and influenced by noises which are not identically and independently distributed. The nonequilibrium steady state (NESS) current results from a residual part of the drift force which is not cancelled by the diffusive action of noises. From our previous study for the linear d… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1107.5864v1-abstract-full').style.display = 'inline'; document.getElementById('1107.5864v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1107.5864v1-abstract-full" style="display: none;"> We investigate the properties of the nonequilibrium steady state for the stochastic system driven by a nonlinear drift force and influenced by noises which are not identically and independently distributed. The nonequilibrium steady state (NESS) current results from a residual part of the drift force which is not cancelled by the diffusive action of noises. From our previous study for the linear drift force the NESS current was found to circulate on the equiprobability surface with the maximum at a stable fixed point of the drift force. For the nonlinear drift force, we use the perturbation theory with respect to the cubic and quartic coefficients of the drift force. We find an interesting potential landscape picture where the probability maximum shifts from the fixed point of the drift force and, furthermore, the NESS current has a nontrivial circulation which flows off the equiprobability surface and has various centers not located at the probability maximum. The theoretical result is well confirmed by the computer simulation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1107.5864v1-abstract-full').style.display = 'none'; document.getElementById('1107.5864v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 July, 2011; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2011. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0806.0186">arXiv:0806.0186</a> <span> [<a href="https://arxiv.org/pdf/0806.0186">pdf</a>, <a href="https://arxiv.org/ps/0806.0186">ps</a>, <a href="https://arxiv.org/format/0806.0186">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Other Condensed Matter">cond-mat.other</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Dynamical Systems">math.DS</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Populations and Evolution">q-bio.PE</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0253-6102/49/5/01">10.1088/0253-6102/49/5/01 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0806.0186v1-abstract-short" style="display: inline;"> This is the fourth paper, the last one, on solution to the problem of absence of detailed balance in nonequilibrium processes. It is an approach based on another known universal dynamics: The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian dynamics in the present paper, has been found to be universally valid in biology; The statistical mechanics and thermod… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0806.0186v1-abstract-full').style.display = 'inline'; document.getElementById('0806.0186v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0806.0186v1-abstract-full" style="display: none;"> This is the fourth paper, the last one, on solution to the problem of absence of detailed balance in nonequilibrium processes. It is an approach based on another known universal dynamics: The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian dynamics in the present paper, has been found to be universally valid in biology; The statistical mechanics and thermodynamics, while enormously successful in physics, have been in an awkward situation of wanting a consistent dynamical understanding; Here we present from a formal point of view an exploration of the connection between thermodynamics and Darwinian dynamics and a few related topics. We first show that the stochasticity in Darwinian dynamics implies the existence temperature, hence the canonical distribution of Boltzmann-Gibbs type. In term of relative entropy the Second Law of thermodynamics is dynamically demonstrated without detailed balance condition, and is valid regardless of size of the system. In particular, the dynamical component responsible for breaking detailed balance condition does not contribute to the change of the relative entropy. Two types of stochastic dynamical equalities of current interest are explicitly discussed in the present approach: One is based on Feynman-Kac formula and another is a generalization of Einstein relation. Both are directly accessible to experimental tests. Our demonstration indicates that Darwinian dynamics represents logically a simple and straightforward starting point for statistical mechanics and thermodynamics and is complementary to and consistent with conservative dynamics that dominates the physical sciences. Present exploration suggests the existence of a unified stochastic dynamical framework both near and far from equilibrium. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0806.0186v1-abstract-full').style.display = 'none'; document.getElementById('0806.0186v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 June, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex, 49 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics. P. Ao, Communications in Theoretical Physics 49 (2008) 1073-1090 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0804.0379">arXiv:0804.0379</a> <span> [<a href="https://arxiv.org/pdf/0804.0379">pdf</a>, <a href="https://arxiv.org/ps/0804.0379">ps</a>, <a href="https://arxiv.org/format/0804.0379">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Disordered Systems and Neural Networks">cond-mat.dis-nn</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Molecular Networks">q-bio.MN</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0305-4470/39/27/003">10.1088/0305-4470/39/27/003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. III: potential function in local stochastic dynamics and in steady state of Boltzmann-Gibbs type distribution function </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0804.0379v1-abstract-short" style="display: inline;"> From a logic point of view this is the third in the series to solve the problem of absence of detailed balance. This paper will be denoted as SDS III. The existence of a dynamical potential with both local and global meanings in general nonequilibrium processes has been controversial. Following an earlier explicit construction by one of us (Ao, J. Phys. {\bf A37}, L25 '04, arXiv:0803.4356, refer… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0804.0379v1-abstract-full').style.display = 'inline'; document.getElementById('0804.0379v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0804.0379v1-abstract-full" style="display: none;"> From a logic point of view this is the third in the series to solve the problem of absence of detailed balance. This paper will be denoted as SDS III. The existence of a dynamical potential with both local and global meanings in general nonequilibrium processes has been controversial. Following an earlier explicit construction by one of us (Ao, J. Phys. {\bf A37}, L25 '04, arXiv:0803.4356, referred to as SDS II), in the present paper we show rigorously its existence for a generic class of situations in physical and biological sciences. The local dynamical meaning of this potential function is demonstrated via a special stochastic differential equation and its global steady-state meaning via a novel and explicit form of Fokker-Planck equation, the zero mass limit. We also give a procedure to obtain the special stochastic differential equation for any given Fokker-Planck equation. No detailed balance condition is required in our demonstration. For the first time we obtain here a formula to describe the noise induced shift in drift force comparing to the steady state distribution, a phenomenon extensively observed in numerical studies. The comparison to two well known stochastic integration methods, Ito and Stratonovich, are made ready. Such comparison was made elsewhere (Ao, Phys. Life Rev. {\bf 2} (2005) 117. q-bio/0605020). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0804.0379v1-abstract-full').style.display = 'none'; document.getElementById('0804.0379v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 April, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex. 13 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Existence and Construction of Dynamical Potential in Nonequilibrium Processes without Detailed Balance. L. Yin and P. Ao, J. Phys. A39 (2006) 8593-8601 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0803.4356">arXiv:0803.4356</a> <span> [<a href="https://arxiv.org/pdf/0803.4356">pdf</a>, <a href="https://arxiv.org/ps/0803.4356">ps</a>, <a href="https://arxiv.org/format/0803.4356">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Other Condensed Matter">cond-mat.other</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Astrophysics">astro-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Mathematical Physics">math-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Dynamical Systems">math.DS</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Populations and Evolution">q-bio.PE</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Subcellular Processes">q-bio.SC</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0305-4470/37/3/L01">10.1088/0305-4470/37/3/L01 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. II: construction of SDS with nonlinear force and multiplicative noise </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0803.4356v1-abstract-short" style="display: inline;"> There is a whole range of emergent phenomena in non-equilibrium behaviors can be well described by a set of stochastic differential equations. Inspired by an insight gained during our study of robustness and stability in phage lambda genetic switch in modern biology, we found that there exists a classification of generic nonequilibrium processes: In the continuous description in terms of stochas… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0803.4356v1-abstract-full').style.display = 'inline'; document.getElementById('0803.4356v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0803.4356v1-abstract-full" style="display: none;"> There is a whole range of emergent phenomena in non-equilibrium behaviors can be well described by a set of stochastic differential equations. Inspired by an insight gained during our study of robustness and stability in phage lambda genetic switch in modern biology, we found that there exists a classification of generic nonequilibrium processes: In the continuous description in terms of stochastic differential equations, there exists four dynamical elements: the potential function $蠁$, the friction matrix $ S$, the anti-symmetric matrix $ T $, and the noise. The generic feature of absence of detailed balance is then precisely represented by $T$. For dynamical near a fixed point, whether or not it is stable or not, the stochastic dynamics is linear. A rather complete analysis has been carried out (Kwon, Ao, Thouless, cond-mat/0506280; PNAS, {\bf 102} (2005) 13029), referred to as SDS I. One important and persistent question is the existence of a potential function with nonlinear force and with multiplicative noise, with both nice local dynamical and global steady state properties. Here we demonstrate that a dynamical structure built into stochastic differential equation allows us to construct such a global optimization potential function. First, we provide the construction. One of most important ingredient is the generalized Einstein relation. We then present an approximation scheme: The gradient expansion which turns every order into linear matrix equations. The consistent of such methodology with other known stochastic treatments will be discussed in next paper, SDS III; and the explicitly connection to statistical mechanics and thermodynamics will be discussed in a forthcoming paper, SDS IV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0803.4356v1-abstract-full').style.display = 'none'; document.getElementById('0803.4356v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 March, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Latex, 9 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Potential in Stochastic Differential Equations: Novel Construction. P. Ao, J. Phys. A37 L25-L30 (2004) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0706.2650">arXiv:0706.2650</a> <span> [<a href="https://arxiv.org/pdf/0706.2650">pdf</a>, <a href="https://arxiv.org/ps/0706.2650">ps</a>, <a href="https://arxiv.org/format/0706.2650">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> </div> <p class="title is-5 mathjax"> Comment on "Magnus force and acoustic Stewart-Tolman effect in type-II superconductors, by Fil et al </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0706.2650v1-abstract-short" style="display: inline;"> Fil {\it et al.} has proposed an interesting experimental method to investigate vortex dynamics. Some preliminary results have been obtained. In this comment I discuss a few missing but strongly related theoretical models and experiments on Hall anomaly and Magnus force. I conclude that those missing literature can enhance the value of novel experimental method proposed in the commented 2006 Eur… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0706.2650v1-abstract-full').style.display = 'inline'; document.getElementById('0706.2650v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0706.2650v1-abstract-full" style="display: none;"> Fil {\it et al.} has proposed an interesting experimental method to investigate vortex dynamics. Some preliminary results have been obtained. In this comment I discuss a few missing but strongly related theoretical models and experiments on Hall anomaly and Magnus force. I conclude that those missing literature can enhance the value of novel experimental method proposed in the commented 2006 Europhysics Letters by Fil {\it et al.}. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0706.2650v1-abstract-full').style.display = 'none'; document.getElementById('0706.2650v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 18 June, 2007; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2007. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex 4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/q-bio/0703044">arXiv:q-bio/0703044</a> <span> [<a href="https://arxiv.org/pdf/q-bio/0703044">pdf</a>, <a href="https://arxiv.org/ps/q-bio/0703044">ps</a>, <a href="https://arxiv.org/format/q-bio/0703044">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Information Theory">cs.IT</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Dynamical Systems">math.DS</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Molecular Networks">q-bio.MN</span> </div> </div> <p class="title is-5 mathjax"> On the existence of potential landscape in the evolution of complex systems </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Kwon%2C+C">C. Kwon</a>, <a href="/search/cond-mat?searchtype=author&query=Qian%2C+H">H. Qian</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="q-bio/0703044v1-abstract-short" style="display: inline;"> A recently developed treatment of stochastic processes leads to the construction of a potential landscape for the dynamical evolution of complex systems. Since the existence of a potential function in generic settings has been frequently questioned in literature,herewe study several related theoretical issues that lie at core of the construction. We showthat the novel treatment,via a transformat… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0703044v1-abstract-full').style.display = 'inline'; document.getElementById('q-bio/0703044v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="q-bio/0703044v1-abstract-full" style="display: none;"> A recently developed treatment of stochastic processes leads to the construction of a potential landscape for the dynamical evolution of complex systems. Since the existence of a potential function in generic settings has been frequently questioned in literature,herewe study several related theoretical issues that lie at core of the construction. We showthat the novel treatment,via a transformation,is closely related to the symplectic structure that is central in many branches of theoretical physics. Using this insight, we demonstrate an invariant under the transformation. We further explicitly demonstrate, in one-dimensional case, the contradistinction among the new treatment to those of Ito and Stratonovich, as well as others.Our results strongly suggest that the method from statistical physics can be useful in studying stochastic, complex systems in general. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0703044v1-abstract-full').style.display = 'none'; document.getElementById('q-bio/0703044v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 March, 2007; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2007. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex, 18 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Complexity 12 (2007) 19-27 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0610753">arXiv:cond-mat/0610753</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0610753">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0610753">ps</a>, <a href="https://arxiv.org/format/cond-mat/0610753">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> </div> <p class="title is-5 mathjax"> Two years later--lessons from vortex dynamics in super media </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0610753v1-abstract-short" style="display: inline;"> Two years ago the reasons for resistance to the fundamental vortex dynamics in super media emerged in 1990's were analyzed (cond-mat/0407007). Five "mistakes" were identified to explain this resistance. Given the current tremendous interest in vortex dynamics, it would be desirable to provide a progress report: A survey of literature reveals that 3 out 5 "mistakes" has in fact been confirmed by… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0610753v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0610753v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0610753v1-abstract-full" style="display: none;"> Two years ago the reasons for resistance to the fundamental vortex dynamics in super media emerged in 1990's were analyzed (cond-mat/0407007). Five "mistakes" were identified to explain this resistance. Given the current tremendous interest in vortex dynamics, it would be desirable to provide a progress report: A survey of literature reveals that 3 out 5 "mistakes" has in fact been confirmed by other researchers. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0610753v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0610753v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 October, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, Revtex</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/q-bio/0605020">arXiv:q-bio/0605020</a> <span> [<a href="https://arxiv.org/pdf/q-bio/0605020">pdf</a>, <a href="https://arxiv.org/ps/q-bio/0605020">ps</a>, <a href="https://arxiv.org/format/q-bio/0605020">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Populations and Evolution">q-bio.PE</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Neural and Evolutionary Computing">cs.NE</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Optimization and Control">math.OC</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.plrev.2005.03.002">10.1016/j.plrev.2005.03.002 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Laws in Darwinian Evolutionary Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="q-bio/0605020v1-abstract-short" style="display: inline;"> In the present article the recent works to formulate laws in Darwinian evolutionary dynamics are discussed. Although there is a strong consensus that general laws in biology may exist, opinions opposing such suggestion are abundant. Based on recent progress in both mathematics and biology, another attempt to address this issue is made in the present article. Specifically, three laws which form a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0605020v1-abstract-full').style.display = 'inline'; document.getElementById('q-bio/0605020v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="q-bio/0605020v1-abstract-full" style="display: none;"> In the present article the recent works to formulate laws in Darwinian evolutionary dynamics are discussed. Although there is a strong consensus that general laws in biology may exist, opinions opposing such suggestion are abundant. Based on recent progress in both mathematics and biology, another attempt to address this issue is made in the present article. Specifically, three laws which form a mathematical framework for the evolutionary dynamics in biology are postulated. The second law is most quantitative and is explicitly expressed in the unique form of a stochastic differential equation. Salient features of Darwinian evolutionary dynamics are captured by this law: the probabilistic nature of evolution, ascendancy, and the adaptive landscape. Four dynamical elements are introduced in this formulation: the ascendant matrix, the transverse matrix, the Wright evolutionary potential, and the stochastic drive. The first law may be regarded as a special case of the second law. It gives the reference point to discuss the evolutionary dynamics. The third law describes the relationship between the focused level of description to its lower and higher ones, and defines the dichotomy of deterministic and stochastic drives. It is an acknowledgement of the hierarchical structure in biology. A new interpretation of Fisher's fundamental theorem of natural selection is provided in terms of the F-Theorem. The proposed laws are based on continuous representation in both time and population. Their generic nature is demonstrated through their equivalence to classical formulations. The present three laws appear to provide a coherent framework for the further development of the subject. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0605020v1-abstract-full').style.display = 'none'; document.getElementById('q-bio/0605020v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 May, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">61 pages, but two pages can be put into one</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Physics of Life Reviews, 2 (2005) 117-156 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/physics/0605101">arXiv:physics/0605101</a> <span> [<a href="https://arxiv.org/pdf/physics/0605101">pdf</a>, <a href="https://arxiv.org/ps/physics/0605101">ps</a>, <a href="https://arxiv.org/format/physics/0605101">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Classical Physics">physics.class-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.75.035114">10.1103/PhysRevB.75.035114 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Olson%2C+J">John Olson</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="physics/0605101v1-abstract-short" style="display: inline;"> We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obtai… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0605101v1-abstract-full').style.display = 'inline'; document.getElementById('physics/0605101v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="physics/0605101v1-abstract-full" style="display: none;"> We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obtained. The similarities and differences to previous approaches are discussed. Our results confirm the richness of the Bloch-Peierls-Berry dynamics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0605101v1-abstract-full').style.display = 'none'; document.getElementById('physics/0605101v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 May, 2006; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2006. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev. B75 (2007) 035114 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/q-bio/0512007">arXiv:q-bio/0512007</a> <span> [<a href="https://arxiv.org/pdf/q-bio/0512007">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Subcellular Processes">q-bio.SC</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Other Condensed Matter">cond-mat.other</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Molecular Networks">q-bio.MN</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Other Quantitative Biology">q-bio.OT</span> </div> </div> <p class="title is-5 mathjax"> Efficiency, Robustness and Stochasticity of Gene Regulatory Networks in Systems Biology: lambda Switch as a Working Example </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X">X. Zhu</a>, <a href="/search/cond-mat?searchtype=author&query=Yin%2C+L">L. Yin</a>, <a href="/search/cond-mat?searchtype=author&query=Hood%2C+L">L. Hood</a>, <a href="/search/cond-mat?searchtype=author&query=Galas%2C+D">D. Galas</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="q-bio/0512007v2-abstract-short" style="display: inline;"> Phage lambda is one of the most studied biological models in modern molecular biology. Over the past 50 years quantitative experimental knowledge on this biological model has been accumulated at all levels: physics, chemistry, genomics, proteomics, functions, and more. All its components have been known to a great detail. The theoretical task has been to integrate its components to make the orga… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0512007v2-abstract-full').style.display = 'inline'; document.getElementById('q-bio/0512007v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="q-bio/0512007v2-abstract-full" style="display: none;"> Phage lambda is one of the most studied biological models in modern molecular biology. Over the past 50 years quantitative experimental knowledge on this biological model has been accumulated at all levels: physics, chemistry, genomics, proteomics, functions, and more. All its components have been known to a great detail. The theoretical task has been to integrate its components to make the organism working quantitatively in a harmonic manner. This would test our biological understanding and would lay a solid fundamental for further explorations and applications, an obvious goal of systems biology. One of the outstanding challenges in doing so has been the so-called stability puzzle of lambda switch: the biologically observed robustness and its difficult mathematical reconstruction based on known experimental values. In this chapter we review the recent theoretical and experimental efforts on tackling this problem. An emphasis is put on the minimum quantitative modeling where a successful numerical agreement between experiments and modeling has been achieved. A novel method tentatively named stochastic dynamical structure analysis emerged from such study is also discussed within a broad modeling perspective. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0512007v2-abstract-full').style.display = 'none'; document.getElementById('q-bio/0512007v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 February, 2006; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 December, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">40 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0506280">arXiv:cond-mat/0506280</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0506280">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0506280">ps</a>, <a href="https://arxiv.org/format/cond-mat/0506280">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1073/pnas.0506347102">10.1073/pnas.0506347102 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Structure of Stochastic Dynamics near Fixed Points </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Kwon%2C+C">Chulan Kwon</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Thouless%2C+D+J">David J. Thouless</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0506280v1-abstract-short" style="display: inline;"> We analyze the structure of stochastic dynamics near either a stable or unstable fixed point, where force can be approximated by linearization. We find that a cost function that determines a Boltzmann-like stationary distribution can always be defined near it. Such a stationary distribution does not need to satisfy the usual detailed balance condition, but might have instead a divergence-free pr… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0506280v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0506280v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0506280v1-abstract-full" style="display: none;"> We analyze the structure of stochastic dynamics near either a stable or unstable fixed point, where force can be approximated by linearization. We find that a cost function that determines a Boltzmann-like stationary distribution can always be defined near it. Such a stationary distribution does not need to satisfy the usual detailed balance condition, but might have instead a divergence-free probability current. In the linear case the force can be split into two parts, one of which gives detailed balance with the diffusive motion, while the other induces cyclic motion on surfaces of constant cost function. Using the Jordan transformation for the force matrix, we find an explicit construction of the cost function. We discuss singularities of the transformation and their consequences for the stationary distribution. This Boltzmann-like distribution may be not unique, and nonlinear effects and boundary conditions may change the distribution and induce additional currents even in the neighborhood of a fixed point. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0506280v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0506280v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 June, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0504222">arXiv:cond-mat/0504222</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0504222">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0504222">ps</a>, <a href="https://arxiv.org/format/cond-mat/0504222">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Mesoscale and Nanoscale Physics">cond-mat.mes-hall</span> </div> </div> <p class="title is-5 mathjax"> Snapshots on Vortex Dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0504222v1-abstract-short" style="display: inline;"> Salient features of vortex dynamics in super media are summarized. Recent examples are: the demonstration of prominent role of topology in vortex dynamics; the solution to the Hall anomaly which once bothered Bardeen, de Gennes and many others; the unified microscopic treatment of both transverse and frictional forces on moving vortex. The fundamental dynamical equation of vortex matter can now… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0504222v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0504222v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0504222v1-abstract-full" style="display: none;"> Salient features of vortex dynamics in super media are summarized. Recent examples are: the demonstration of prominent role of topology in vortex dynamics; the solution to the Hall anomaly which once bothered Bardeen, de Gennes and many others; the unified microscopic treatment of both transverse and frictional forces on moving vortex. The fundamental dynamical equation of vortex matter can now be casted into the elegant form of quantum dissipative dynamics of Leggett. Together with the Kosterlitz-Thouless transition, we have finally reached a coherent picture on both thermodynamic and dynamical roles played by vortices. The key historical progresses are discussed with a broader perspective, to move into the post high $T_c$ superconductor era, the quantum era. References mentioned in the text and given at the end, though very incomplete, along with a list of a few outstanding open problems, may provide a reader a useful guidance and an interesting perspective. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0504222v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0504222v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 April, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2005. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">19 pages, latex</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0407156">arXiv:cond-mat/0407156</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0407156">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0407156">ps</a>, <a href="https://arxiv.org/format/cond-mat/0407156">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.71.125108">10.1103/PhysRevB.71.125108 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Effective Vortex Mass from Microscopic Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Han%2C+J+H">Jung Hoon Han</a>, <a href="/search/cond-mat?searchtype=author&query=Kim%2C+J+S">June Seo Kim</a>, <a href="/search/cond-mat?searchtype=author&query=Kim%2C+M+J">Min Jae Kim</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0407156v2-abstract-short" style="display: inline;"> We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Based on effective action approach, we arrive at the effective mass of a vortex as integral of the spectral function $J(蠅)$ divided by $蠅^3$ over frequency. The spectral function is given in terms of the quantum-mechanical transition elements of the gradient of the Hamiltonian between tw… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0407156v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0407156v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0407156v2-abstract-full" style="display: none;"> We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Based on effective action approach, we arrive at the effective mass of a vortex as integral of the spectral function $J(蠅)$ divided by $蠅^3$ over frequency. The spectral function is given in terms of the quantum-mechanical transition elements of the gradient of the Hamiltonian between two Bogoliubov-deGennes (BdG) eigenstates. Based on self-consistent numerical diagonalization of the BdG equation we find that the effective mass per unit length of vortex at zero temperature is of order $m (k_f 尉_0)^2$ ($k_f$=Fermi momentum, $尉_0$=coherence length), essentially equaling the electron mass displaced within the coherence length from the vortex core. Transitions between the core states are responsible for most of the mass. The mass reaches a maximum value at $T\approx 0.5 T_c$ and decreases continuously to zero at $T_c$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0407156v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0407156v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 July, 2004; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 7 July, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Supercedes prior version, cond-mat/9903125</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0407007">arXiv:cond-mat/0407007</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0407007">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0407007">ps</a>, <a href="https://arxiv.org/format/cond-mat/0407007">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Lessons from vortex dynamics in super media </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0407007v1-abstract-short" style="display: inline;"> Some aspects of vortex dynamics theories are critically examined. The discussion is placed in the context of experiments on the Josephson-Anderson effect and on the Hall anomaly in the mixed state. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0407007v1-abstract-full" style="display: none;"> Some aspects of vortex dynamics theories are critically examined. The discussion is placed in the context of experiments on the Josephson-Anderson effect and on the Hall anomaly in the mixed state. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0407007v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0407007v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 June, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex, 4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0406542">arXiv:cond-mat/0406542</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0406542">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0406542">ps</a>, <a href="https://arxiv.org/format/cond-mat/0406542">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Other Condensed Matter">cond-mat.other</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.71.041603">10.1103/PhysRevA.71.041603 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Phase slip in a superfluid Fermi gas near a Feshbach resonance </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Yin%2C+L">Lan Yin</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">Ping Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0406542v2-abstract-short" style="display: inline;"> In this paper, we study the properties of a phase slip in a superfluid Fermi gas near a Feshbach resonance. The phase slip can be generated by the phase imprinting method. Below the superfluid transition temperature, it appears as a dip in the density profile, and becomes more pronounced when the temperature is lowered. Therefore the phase slip can provide a direct evidence of the superfluid sta… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0406542v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0406542v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0406542v2-abstract-full" style="display: none;"> In this paper, we study the properties of a phase slip in a superfluid Fermi gas near a Feshbach resonance. The phase slip can be generated by the phase imprinting method. Below the superfluid transition temperature, it appears as a dip in the density profile, and becomes more pronounced when the temperature is lowered. Therefore the phase slip can provide a direct evidence of the superfluid state. The condensation energy of the superfluid state can be extracted from the density profile of the phase slip, due to the unitary properties of the Fermi gas near the resonance. The width of the phase slip is proportional to the square root of the difference between the transition temperature and the temperature. The signature of the phase slip in the density profile becomes more robust across the BCS-BEC crossover. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0406542v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0406542v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 October, 2004; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 22 June, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 2 figures, the density profile of a phase slip under experimental conditions was calculated</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. A 71, 041603(R) (2005) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0404009">arXiv:cond-mat/0404009</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0404009">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0404009">ps</a>, <a href="https://arxiv.org/format/cond-mat/0404009">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> </div> <p class="title is-5 mathjax"> Hall anomaly in mixed state of superconductors and vortex dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0404009v1-abstract-short" style="display: inline;"> The present author has long argued, with concrete predictions, that both longitudinal and transverse (Hall) resistivities in the mixed state of superconductors are dominated by vortex many-body effect. Hence there is no need to introduce various ad hoc vortex dynamics theories. It is interesting to note this point of view is now slowly creeping into the work of his most fierce opponents. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0404009v1-abstract-full" style="display: none;"> The present author has long argued, with concrete predictions, that both longitudinal and transverse (Hall) resistivities in the mixed state of superconductors are dominated by vortex many-body effect. Hence there is no need to introduce various ad hoc vortex dynamics theories. It is interesting to note this point of view is now slowly creeping into the work of his most fierce opponents. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0404009v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0404009v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 March, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2004. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/q-bio/0403020">arXiv:q-bio/0403020</a> <span> [<a href="https://arxiv.org/pdf/q-bio/0403020">pdf</a>, <a href="https://arxiv.org/ps/q-bio/0403020">ps</a>, <a href="https://arxiv.org/format/q-bio/0403020">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Dynamical Systems">math.DS</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Populations and Evolution">q-bio.PE</span> </div> </div> <p class="title is-5 mathjax"> Mathematical Structure of Evolutionary Theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="q-bio/0403020v1-abstract-short" style="display: inline;"> Here we postulate three laws which form a mathematical framework to capture the essence of Darwinian evolutionary dynamics. The second law is most quantitative and is explicitly expressed by a unique form of stochastic differential equation. A precise definition of Wright's adaptive landscape is given and a new and consistent interpretation of Fisher's fundamental theorem of natural selection is… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0403020v1-abstract-full').style.display = 'inline'; document.getElementById('q-bio/0403020v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="q-bio/0403020v1-abstract-full" style="display: none;"> Here we postulate three laws which form a mathematical framework to capture the essence of Darwinian evolutionary dynamics. The second law is most quantitative and is explicitly expressed by a unique form of stochastic differential equation. A precise definition of Wright's adaptive landscape is given and a new and consistent interpretation of Fisher's fundamental theorem of natural selection is provided. Based on a recently discovered theorem the generality of the proposed laws is illustrated by an explicit demonstration of their equivalence to a general conventional non-equilibrium dynamics formulation. The proposed laws provide a coherence framework to discuss several current evolutionary problems, such as speciation and stability, and gives a firm base for the application of statistical physics tools in Darwinian dynamics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0403020v1-abstract-full').style.display = 'none'; document.getElementById('q-bio/0403020v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 15 March, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/q-bio/0403016">arXiv:q-bio/0403016</a> <span> [<a href="https://arxiv.org/pdf/q-bio/0403016">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Molecular Networks">q-bio.MN</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Adaptation and Self-Organizing Systems">nlin.AO</span> </div> </div> <p class="title is-5 mathjax"> Robustness, Stability and Efficiency of Phage lambda Gene Regulatory Network: Dynamical Structure Analysis </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a>, <a href="/search/cond-mat?searchtype=author&query=Yin%2C+L">L. Yin</a>, <a href="/search/cond-mat?searchtype=author&query=Hood%2C+L">L. Hood</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="q-bio/0403016v1-abstract-short" style="display: inline;"> Based on our physical and biological studies we have recently developed a mathematical framework for the analysis of nonlnear dynamics. We call this framework the dynamical structure analysis. It has four dynamical elements: potential landscape, transverse matrix, descendant matrix, and stochastic drive. In particular, the importance and the existence of the potential landscape is emphasized.… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0403016v1-abstract-full').style.display = 'inline'; document.getElementById('q-bio/0403016v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="q-bio/0403016v1-abstract-full" style="display: none;"> Based on our physical and biological studies we have recently developed a mathematical framework for the analysis of nonlnear dynamics. We call this framework the dynamical structure analysis. It has four dynamical elements: potential landscape, transverse matrix, descendant matrix, and stochastic drive. In particular, the importance and the existence of the potential landscape is emphasized. The dynamical structure analysis is illustrated in detail by the study of stability, robustness, and efficiency of the simplest gene regulatory network of phage lambda. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('q-bio/0403016v1-abstract-full').style.display = 'none'; document.getElementById('q-bio/0403016v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 March, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">31 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0311495">arXiv:cond-mat/0311495</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0311495">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0311495">ps</a>, <a href="https://arxiv.org/format/cond-mat/0311495">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Materials Science">cond-mat.mtrl-sci</span> </div> </div> <p class="title is-5 mathjax"> Yes, 60 years later we are still working hard on vortices </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0311495v1-abstract-short" style="display: inline;"> With the excitement generated by this year's Nobel Prize in physics, here I give a brief critical review of current vortex dynamics research activity, using a recent book as the background material. Two directions in which major progresses can be expected are selected: the role of vortex-phonon interaction in low temperature superfluid turbulence and the complete integration of topological metho… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0311495v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/0311495v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0311495v1-abstract-full" style="display: none;"> With the excitement generated by this year's Nobel Prize in physics, here I give a brief critical review of current vortex dynamics research activity, using a recent book as the background material. Two directions in which major progresses can be expected are selected: the role of vortex-phonon interaction in low temperature superfluid turbulence and the complete integration of topological method into vortex dynamics. In addition, I would like to call attention to 3 important experiments which have not been fully appreciated in the past: 1) the measurement of vorticity quantization via Magnus force done in Britain; 2) the extensive study of Josephson-Anderson relation carried out in USA; and 3) the direct measurement of Magnus force in superconductors performed in Sweden. They will play an important role in the further development of the field. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0311495v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0311495v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 November, 2003; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2003. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">2 pages, latex</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0307747">arXiv:cond-mat/0307747</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0307747">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0307747">ps</a>, <a href="https://arxiv.org/format/cond-mat/0307747">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Biology">q-bio</span> </div> </div> <p class="title is-5 mathjax"> Towards the Understanding of Stability Puzzles in Phage lambda </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Yin%2C+L">L. Yin</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0307747v1-abstract-short" style="display: inline;"> We discuss two aspects, the in vivo and in vitro difference and the modeling of noise, of integrative modeling of network dynamics in biology, using phage lambda as an example. We believe those two aspects have not been seriously considered, and the including of them may be enough to solve the outstanding stability and robustness puzzle of in gene regulatory network dynamics. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0307747v1-abstract-full" style="display: none;"> We discuss two aspects, the in vivo and in vitro difference and the modeling of noise, of integrative modeling of network dynamics in biology, using phage lambda as an example. We believe those two aspects have not been seriously considered, and the including of them may be enough to solve the outstanding stability and robustness puzzle of in gene regulatory network dynamics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0307747v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0307747v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 July, 2003; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2003. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex, 2 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/0003185">arXiv:cond-mat/0003185</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/0003185">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/0003185">ps</a>, <a href="https://arxiv.org/format/cond-mat/0003185">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/0953-4075/33/3/321">10.1088/0953-4075/33/3/321 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Two Stages in the evolution of binary alkali Bose-Einstein condensate mixtures towards phase segregation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Chui%2C+S+T">S. T. Chui</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/0003185v1-abstract-short" style="display: inline;"> Two stages of quantum spinodal decomposition is proposed and analyzed for this highly non-equilibrium process. Both time and spatial scales for the process are found. Qualitative agreement with existing data is found. Some cases the agreements are quantitative. Further experimental verifications are indicated. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/0003185v1-abstract-full" style="display: none;"> Two stages of quantum spinodal decomposition is proposed and analyzed for this highly non-equilibrium process. Both time and spatial scales for the process are found. Qualitative agreement with existing data is found. Some cases the agreements are quantitative. Further experimental verifications are indicated. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/0003185v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/0003185v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 March, 2000; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2000. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys. B33, 535 (2000) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9910233">arXiv:cond-mat/9910233</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9910233">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9910233">ps</a>, <a href="https://arxiv.org/format/cond-mat/9910233">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.61.063612">10.1103/PhysRevA.61.063612 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Hydrodynamic Approach to Vortex Lifetime in Trapped Bose Condensates </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Lundh%2C+E">Emil Lundh</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9910233v2-abstract-short" style="display: inline;"> We study a vortex in a two-dimensional, harmonically trapped Bose-Einstein condensate at zero temperature. Through a variational calculation using a trial condensate wave function and a nonlinear Schroedinger Lagrangian, we obtain the effective potential experienced by a vortex at an arbitrary position in the condensate, and find that an off-center vortex will move in a circular trajectory aroun… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9910233v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9910233v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9910233v2-abstract-full" style="display: none;"> We study a vortex in a two-dimensional, harmonically trapped Bose-Einstein condensate at zero temperature. Through a variational calculation using a trial condensate wave function and a nonlinear Schroedinger Lagrangian, we obtain the effective potential experienced by a vortex at an arbitrary position in the condensate, and find that an off-center vortex will move in a circular trajectory around the trap center. We find the frequency of this precession to be smaller than the elementary excitation frequencies in the cloud. We also study the radiation of sound from a moving vortex in an infinite, uniform system, and discuss the validity of this as an approximation for the trapped case. Furthermore, we estimate the lifetime of a vortex due to imperfections in the trapping potential. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9910233v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9910233v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 January, 2000; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 October, 1999; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 1999. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 1 eps figure, submitted to PRA, adjustments in response to referee, one refernce added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. A 61 (6), 63612 (June 2000) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9906189">arXiv:cond-mat/9906189</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9906189">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9906189">ps</a>, <a href="https://arxiv.org/format/cond-mat/9906189">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Universal property of single topological singularity dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9906189v1-abstract-short" style="display: inline;"> Using the random matrix theory we demonstrate explicitly the insensitivity of the transverse force on a moving vortex to non-intrinsic and non-magnetic impurities in a superconductor. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9906189v1-abstract-full" style="display: none;"> Using the random matrix theory we demonstrate explicitly the insensitivity of the transverse force on a moving vortex to non-intrinsic and non-magnetic impurities in a superconductor. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9906189v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9906189v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 June, 1999; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 1999. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">revtex</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9903125">arXiv:cond-mat/9903125</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9903125">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9903125">ps</a>, <a href="https://arxiv.org/format/cond-mat/9903125">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Superconductivity">cond-mat.supr-con</span> </div> </div> <p class="title is-5 mathjax"> Effective Mass of a Vortex in a Clean Superconductor </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Han%2C+J+H">J. H. Han</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9903125v1-abstract-short" style="display: inline;"> We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Using the effective action for a vortex, we arrive at the mass formula as the integral of the spectral function $J(蠅)/蠅^3$ over frequency. The spectral function is given in terms of the transition elements of the gradient of the Hamiltonian between Bogoliubov-deGennes eigenstates. We sho… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9903125v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9903125v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9903125v1-abstract-full" style="display: none;"> We calculate the effective mass of a single quantized vortex in the BCS superconductor at finite temperature. Using the effective action for a vortex, we arrive at the mass formula as the integral of the spectral function $J(蠅)/蠅^3$ over frequency. The spectral function is given in terms of the transition elements of the gradient of the Hamiltonian between Bogoliubov-deGennes eigenstates. We show that core-core, and core-extended transitions yield the vortex mass, near T=0, of order of electron mass displaced by the normal core. The extended-extended states contributions are linearly divergent with the low frequency cutoff $蠅_c$, in accordance with the Ohmic character of the spectral function at low energies. We argue that the mass and friction are closely related in this system and arise from the same mechanism - interaction with the surrounding fermionic degrees of freedom. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9903125v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9903125v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 March, 1999; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 1999. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9902333">arXiv:cond-mat/9902333</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9902333">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9902333">ps</a>, <a href="https://arxiv.org/format/cond-mat/9902333">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevB.60.6850">10.1103/PhysRevB.60.6850 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Microscopic theory of vortex dynamics in homogeneous superconductors </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9902333v2-abstract-short" style="display: inline;"> Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications, macroscopic demonstrations based on thermodynamics and fluctuations- dissipation theorems are constructed. For the first time a clear summary and a critical review of p… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9902333v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9902333v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9902333v2-abstract-full" style="display: none;"> Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications, macroscopic demonstrations based on thermodynamics and fluctuations- dissipation theorems are constructed. For the first time a clear summary and a critical review of previous results are given. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9902333v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9902333v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 16 March, 2000; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 25 February, 1999; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 1999. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Presentations are made more straightforward. A detailed presentation that why the vortex friction is finite when the geometric phase exists, as required by referees, though I think it is obvious</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Physical Review B60, 6850 (1999) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9902275">arXiv:cond-mat/9902275</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9902275">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9902275">ps</a>, <a href="https://arxiv.org/format/cond-mat/9902275">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Quantum Spinodal Decomposition in Multicomponent Bose-Einstein Condensates </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Chui%2C+S+T">S. T. Chui</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9902275v1-abstract-short" style="display: inline;"> We investigate analytically the non-equilibrium spatial phase segregation process of a mixture of alkali Bose-Einstein condensates. Two stages (I and II) are found in analogy to the classical spinodal decomposition. The coupled non-linear Schr枚dinger equations enable us to give a quantitative picture of the present dynamical process in a square well trap. Both time and length scales in the s… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9902275v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9902275v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9902275v1-abstract-full" style="display: none;"> We investigate analytically the non-equilibrium spatial phase segregation process of a mixture of alkali Bose-Einstein condensates. Two stages (I and II) are found in analogy to the classical spinodal decomposition. The coupled non-linear Schr枚dinger equations enable us to give a quantitative picture of the present dynamical process in a square well trap. Both time and length scales in the stage I are obtained. We further propose that the stage II is dominated by the Josephson effect between different domains of same condensate different from scenarios in the classical spinodal decomposition. Its time scale is estimated. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9902275v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9902275v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 February, 1999; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 1999. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">revtex</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9811088">arXiv:cond-mat/9811088</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9811088">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9811088">ps</a>, <a href="https://arxiv.org/format/cond-mat/9811088">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Role of Impurities in Core Contribution to Vortex Friction </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9811088v1-abstract-short" style="display: inline;"> We present a microscopic calculation of core states contribution to vortex friction in a type II superconductor at zero temperature. In weak impurity limit, a perturbative calculation leads to a vortex friction proportional to the normal state resistivity. With the aid of random matrix theory, vortex friction due to core states is determined only by the Fermi energy and the energy gap in dirty l… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9811088v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9811088v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9811088v1-abstract-full" style="display: none;"> We present a microscopic calculation of core states contribution to vortex friction in a type II superconductor at zero temperature. In weak impurity limit, a perturbative calculation leads to a vortex friction proportional to the normal state resistivity. With the aid of random matrix theory, vortex friction due to core states is determined only by the Fermi energy and the energy gap in dirty limit, similar to the phenomenological results of Bardeen and Stephen, but disagrees with the results obtained under the relaxation time approximation. In addition, an explicit demonstration is given on the the insensitivity of transverse force to impurities. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9811088v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9811088v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 November, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">revtex, 4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/quant-ph/9809080">arXiv:quant-ph/9809080</a> <span> [<a href="https://arxiv.org/pdf/quant-ph/9809080">pdf</a>, <a href="https://arxiv.org/ps/quant-ph/9809080">ps</a>, <a href="https://arxiv.org/format/quant-ph/9809080">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Quantum Physics">quant-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Quantum Dynamics of Topological Singularities: Feynman's Influence Functional Approach </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="quant-ph/9809080v1-abstract-short" style="display: inline;"> Starting from the microscopic theory of Bardeen-Cooper-Schrieffer (BCS) for the fermionic superfluids, we show that the vortex dynamics can be followed naturally by extending Feynman's influence functional approach to incorporate the transverse force. There is a striking mutual independence of the transverse and longitudinal influences: The former has the topological origin and is insensitive… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('quant-ph/9809080v1-abstract-full').style.display = 'inline'; document.getElementById('quant-ph/9809080v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="quant-ph/9809080v1-abstract-full" style="display: none;"> Starting from the microscopic theory of Bardeen-Cooper-Schrieffer (BCS) for the fermionic superfluids, we show that the vortex dynamics can be followed naturally by extending Feynman's influence functional approach to incorporate the transverse force. There is a striking mutual independence of the transverse and longitudinal influences: The former has the topological origin and is insensitive to details, while the latter corresponds to the well-known damping kernel depending on details. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('quant-ph/9809080v1-abstract-full').style.display = 'none'; document.getElementById('quant-ph/9809080v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 September, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">revtex, based on my talk given at Conference 50 years from Feynman's paper</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9809271">arXiv:cond-mat/9809271</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9809271">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9809271">ps</a>, <a href="https://arxiv.org/format/cond-mat/9809271">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.82.2413">10.1103/PhysRevLett.82.2413 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Origin of Hall Anomaly in the Mixed State </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9809271v1-abstract-short" style="display: inline;"> There has been a corporative absence of understanding of Hall anomaly data in the mixed state in terms of vortex many-body effect and pinning, because of the dominant theoretical influence. Now D'Anna et al. [ Phys. Rev. Lett. 81, 2530 (1998) (cond-mat/9808164)] are brave enough to announce the prominent role played by vortex many-body effect and pinning in their interpretation of their own data… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9809271v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9809271v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9809271v1-abstract-full" style="display: none;"> There has been a corporative absence of understanding of Hall anomaly data in the mixed state in terms of vortex many-body effect and pinning, because of the dominant theoretical influence. Now D'Anna et al. [ Phys. Rev. Lett. 81, 2530 (1998) (cond-mat/9808164)] are brave enough to announce the prominent role played by vortex many-body effect and pinning in their interpretation of their own data. Here I wish to point out: (1) Indeed the data of D'Anna et al. can be explained within an existing Hall anomaly theory based on vortex many-body considerations; (2) It is not surprising that their data are not consistent with available microscopic Hall anomaly theories, because those theories are mathematically incorrect; and (3) The courage of D'Anna et al. should be appreciated. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9809271v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9809271v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 September, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Revtex. A comment to D'Anna et al. PRL v.81, 2530 '98</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9809195">arXiv:cond-mat/9809195</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9809195">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9809195">ps</a>, <a href="https://arxiv.org/format/cond-mat/9809195">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.58.4836">10.1103/PhysRevA.58.4836 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Chui%2C+S+T">S. T. Chui</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9809195v2-abstract-short" style="display: inline;"> We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated phase characterized by a `penetration depth' and the strongly segregated phase characterized by a healing length. In the weakly segregated phase the symmetry of t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9809195v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9809195v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9809195v2-abstract-full" style="display: none;"> We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated phase characterized by a `penetration depth' and the strongly segregated phase characterized by a healing length. In the weakly segregated phase the symmetry of the shape of each condensate will not take that of the trap because of the finite surface tension, but its total density profile still does. In the strongly segregated phase even the total density profile takes a different symmetry from that of the trap because of the mutual exclusion of the condensates. The lower critical condensate-atom number to observe the complete phase segregation is discussed. A comparison to recent experimental data suggests that the weakly segregated phase has been observed. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9809195v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9809195v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 16 December, 1998; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 14 September, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">minor changes</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. A58, 4836 (1998) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9807045">arXiv:cond-mat/9807045</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9807045">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9807045">ps</a>, <a href="https://arxiv.org/format/cond-mat/9807045">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Friction Coefficient and Berry Phase for a Topological Singularity in a Superfluid </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9807045v1-abstract-short" style="display: inline;"> The coexistence of the universal transverse force and the non-universal friction force on a topological singularity in a superfluid is shown here. Based on the BCS type microscopic theory, we explicitly evaluate the quasiparticle contribution to the friction coefficient in a clean fermionic superfluid, showing a new feature of logarithmic divergence. </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9807045v1-abstract-full" style="display: none;"> The coexistence of the universal transverse force and the non-universal friction force on a topological singularity in a superfluid is shown here. Based on the BCS type microscopic theory, we explicitly evaluate the quasiparticle contribution to the friction coefficient in a clean fermionic superfluid, showing a new feature of logarithmic divergence. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9807045v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9807045v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 July, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Latex, 4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9803105">arXiv:cond-mat/9803105</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9803105">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9803105">ps</a>, <a href="https://arxiv.org/format/cond-mat/9803105">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Aharonov-Bohm and Aharonov-Casher Effects: Connections to Dynamics of Topological Singularities </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a>, <a href="/search/cond-mat?searchtype=author&query=Niu%2C+Q">Q. Niu</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9803105v1-abstract-short" style="display: inline;"> We analyze the physical processes involved in the Aharonov-Bohm (A-B) and the Aharonov-Casher (A-C) effects, showing that an incomplete A-B effect knowledge can lead a totally wrong conclusion on the A-C effect. Based on this we demonstrate that the Magnus force, the net force, is the only transverse force on a moving vortex, in analogous to the net charge in A-C effect. This conclusion has been… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9803105v1-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9803105v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9803105v1-abstract-full" style="display: none;"> We analyze the physical processes involved in the Aharonov-Bohm (A-B) and the Aharonov-Casher (A-C) effects, showing that an incomplete A-B effect knowledge can lead a totally wrong conclusion on the A-C effect. Based on this we demonstrate that the Magnus force, the net force, is the only transverse force on a moving vortex, in analogous to the net charge in A-C effect. This conclusion has been arrived both theoretically and experimentally. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9803105v1-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9803105v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 March, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Latex, 4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/cond-mat/9803087">arXiv:cond-mat/9803087</a> <span> [<a href="https://arxiv.org/pdf/cond-mat/9803087">pdf</a>, <a href="https://arxiv.org/ps/cond-mat/9803087">ps</a>, <a href="https://arxiv.org/format/cond-mat/9803087">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1142/S021798499800055X">10.1142/S021798499800055X <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Friction on a Quantized Vortex in a Superfluid </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Zhu%2C+X+-">X. -M. Zhu</a>, <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="cond-mat/9803087v2-abstract-short" style="display: inline;"> We obtain the explicit expression of the friction on a moving quantized vortex, following the formulation of Thouless, Ao and Niu. It is shown that the friction on a moving vortex is sensitive to details but does not change the transverse force. We provide a general thermodynamic interpretation for the mutual independence of the transverse force and the friction. The friction is evaluated for th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9803087v2-abstract-full').style.display = 'inline'; document.getElementById('cond-mat/9803087v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="cond-mat/9803087v2-abstract-full" style="display: none;"> We obtain the explicit expression of the friction on a moving quantized vortex, following the formulation of Thouless, Ao and Niu. It is shown that the friction on a moving vortex is sensitive to details but does not change the transverse force. We provide a general thermodynamic interpretation for the mutual independence of the transverse force and the friction. The friction is evaluated for the case of quasiparticle contributions in a clean fermionic superfluid, showing a new feature of logarithmic divergence. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('cond-mat/9803087v2-abstract-full').style.display = 'none'; document.getElementById('cond-mat/9803087v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 August, 1998; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 March, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 1998. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">latex, minor changes</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Mod. Phys. Lett. B12, 451, '98 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/9801241">arXiv:hep-ph/9801241</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/9801241">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/9801241">ps</a>, <a href="https://arxiv.org/format/hep-ph/9801241">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Condensed Matter">cond-mat</span> </div> </div> <p class="title is-5 mathjax"> Double Counting of `Chiral Anomaly' in a Model Study of Primordial Baryogenesis </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/cond-mat?searchtype=author&query=Ao%2C+P">P. Ao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="hep-ph/9801241v1-abstract-short" style="display: inline;"> In this comment to the Nature paper of Bevan et al I point out that their interpretation of experimental data is based on a double counting of the `chiral anomaly' due to a vortex motion: using the calculation far away from the vortex core (Berry phase) to cancel the equivalent calculation at the core (spectral flow). The relaxation time approximation in force or momentum balance equation involv… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9801241v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/9801241v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/9801241v1-abstract-full" style="display: none;"> In this comment to the Nature paper of Bevan et al I point out that their interpretation of experimental data is based on a double counting of the `chiral anomaly' due to a vortex motion: using the calculation far away from the vortex core (Berry phase) to cancel the equivalent calculation at the core (spectral flow). The relaxation time approximation in force or momentum balance equation involved in their theory is also wrong, which has been rigorous proved in transport theory since 60's. Hence their affirmative conclusion is premature. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9801241v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/9801241v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 January, 1998; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 1998. </p> </li> </ol> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Ao%2C+P&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Ao%2C+P&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a 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