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id="order" name="order"><option selected value="-announced_date_first">Announcement date (newest first)</option><option value="announced_date_first">Announcement date (oldest first)</option><option value="-submitted_date">Submission date (newest first)</option><option value="submitted_date">Submission date (oldest first)</option><option value="">Relevance</option></select> </span> </div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <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/2411.06830">arXiv:2411.06830</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2411.06830">pdf</a>, <a href="https://arxiv.org/format/2411.06830">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Methods for Astrophysics">astro-ph.IM</span> </div> </div> <p class="title is-5 mathjax"> Towards Model-free Temperature Diagnostics of Warm Dense Matter from Multiple Scattering Angles </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Bellenbaum%2C+H+M">Hannah M. Bellenbaum</a>, <a href="/search/physics?searchtype=author&amp;query=Bachmann%2C+B">Benjamin Bachmann</a>, <a href="/search/physics?searchtype=author&amp;query=Kraus%2C+D">Dominik Kraus</a>, <a href="/search/physics?searchtype=author&amp;query=Gawne%2C+T">Thomas Gawne</a>, <a href="/search/physics?searchtype=author&amp;query=B%C3%B6hme%2C+M+P">Maximilian P. B枚hme</a>, <a href="/search/physics?searchtype=author&amp;query=D%C3%B6ppner%2C+T">Tilo D枚ppner</a>, <a href="/search/physics?searchtype=author&amp;query=Fletcher%2C+L+B">Luke B. Fletcher</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Moldabekov%2C+Z+A">Zhandos A. Moldabekov</a>, <a href="/search/physics?searchtype=author&amp;query=Preston%2C+T+R">Thomas R. Preston</a>, <a href="/search/physics?searchtype=author&amp;query=Vorberger%2C+J">Jan Vorberger</a>, <a href="/search/physics?searchtype=author&amp;query=Dornheim%2C+T">Tobias Dornheim</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="2411.06830v1-abstract-short" style="display: inline;"> Warm dense matter (WDM) plays an important role in astrophysical objects and technological applications, but the rigorous diagnostics of corresponding experiments is notoriously difficult. In this work, we present a model-free analysis of x-ray Thomson scattering (XRTS) measurements at multiple scattering angles. Specifically, we analyze scattering data that have been collected for isochorically h&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.06830v1-abstract-full').style.display = 'inline'; document.getElementById('2411.06830v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2411.06830v1-abstract-full" style="display: none;"> Warm dense matter (WDM) plays an important role in astrophysical objects and technological applications, but the rigorous diagnostics of corresponding experiments is notoriously difficult. In this work, we present a model-free analysis of x-ray Thomson scattering (XRTS) measurements at multiple scattering angles. Specifically, we analyze scattering data that have been collected for isochorically heated graphite at the Linac Coherent Light Source (LCLS). Overall, we find good consistency in the extracted temperature between small and large scattering angles, whereas possible signatures of non-equilibrium may be hidden by the source function, and by the available dynamic spectral range. The present proof-of-principle study directly points to improved experimental set-ups for equation-of-state measurements and for the model-free study of relaxation times. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.06830v1-abstract-full').style.display = 'none'; document.getElementById('2411.06830v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 November, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2409.08591">arXiv:2409.08591</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2409.08591">pdf</a>, <a href="https://arxiv.org/format/2409.08591">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> </div> </div> <p class="title is-5 mathjax"> Model-free Rayleigh weight from x-ray Thomson scattering measurements </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Dornheim%2C+T">Tobias Dornheim</a>, <a href="/search/physics?searchtype=author&amp;query=Bellenbaum%2C+H+M">Hannah M. Bellenbaum</a>, <a href="/search/physics?searchtype=author&amp;query=Bethkenhagen%2C+M">Mandy Bethkenhagen</a>, <a href="/search/physics?searchtype=author&amp;query=Hansen%2C+S+B">Stephanie B. Hansen</a>, <a href="/search/physics?searchtype=author&amp;query=B%C3%B6hme%2C+M+P">Maximilian P. B枚hme</a>, <a href="/search/physics?searchtype=author&amp;query=D%C3%B6ppner%2C+T">Tilo D枚ppner</a>, <a href="/search/physics?searchtype=author&amp;query=Fletcher%2C+L+B">Luke B. Fletcher</a>, <a href="/search/physics?searchtype=author&amp;query=Gawne%2C+T">Thomas Gawne</a>, <a href="/search/physics?searchtype=author&amp;query=Gericke%2C+D+O">Dirk O. Gericke</a>, <a href="/search/physics?searchtype=author&amp;query=Hamel%2C+S">Sebastien Hamel</a>, <a href="/search/physics?searchtype=author&amp;query=Kraus%2C+D">Dominik Kraus</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Moldabekov%2C+Z+A">Zhandos A. Moldabekov</a>, <a href="/search/physics?searchtype=author&amp;query=Preston%2C+T+R">Thomas R. Preston</a>, <a href="/search/physics?searchtype=author&amp;query=Redmer%2C+R">Ronald Redmer</a>, <a href="/search/physics?searchtype=author&amp;query=Sch%C3%B6rner%2C+M">Maximilian Sch枚rner</a>, <a href="/search/physics?searchtype=author&amp;query=Schwalbe%2C+S">Sebastian Schwalbe</a>, <a href="/search/physics?searchtype=author&amp;query=Tolias%2C+P">Panagiotis Tolias</a>, <a href="/search/physics?searchtype=author&amp;query=Vorberger%2C+J">Jan Vorberger</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="2409.08591v1-abstract-short" style="display: inline;"> X-ray Thomson scattering (XRTS) has emerged as a powerful tool for the diagnostics of matter under extreme conditions. In principle, it gives one access to important system parameters such as the temperature, density, and ionization state, but the interpretation of the measured XRTS intensity usually relies on theoretical models and approximations. In this work, we show that it is possible to extr&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.08591v1-abstract-full').style.display = 'inline'; document.getElementById('2409.08591v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2409.08591v1-abstract-full" style="display: none;"> X-ray Thomson scattering (XRTS) has emerged as a powerful tool for the diagnostics of matter under extreme conditions. In principle, it gives one access to important system parameters such as the temperature, density, and ionization state, but the interpretation of the measured XRTS intensity usually relies on theoretical models and approximations. In this work, we show that it is possible to extract the Rayleigh weight -- a key property that describes the electronic localization around the ions -- directly from the experimental data without the need for any model calculations or simulations. As a practical application, we consider an experimental measurement of strongly compressed Be at the National Ignition Facility (NIF) [D枚ppner \emph{et al.}, \textit{Nature} \textbf{618}, 270-275 (2023)]. In addition to being interesting in their own right, our results will open up new avenues for diagnostics from \emph{ab initio} simulations, help to further constrain existing chemical models, and constitute a rigorous benchmark for theory and simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.08591v1-abstract-full').style.display = 'none'; document.getElementById('2409.08591v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 September, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2406.03301">arXiv:2406.03301</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2406.03301">pdf</a>, <a href="https://arxiv.org/format/2406.03301">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Detectors">physics.ins-det</span> </div> </div> <p class="title is-5 mathjax"> Effects of Mosaic Crystal Instrument Functions on X-ray Thomson Scattering Diagnostics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Gawne%2C+T">Thomas Gawne</a>, <a href="/search/physics?searchtype=author&amp;query=Bellenbaum%2C+H">Hannah Bellenbaum</a>, <a href="/search/physics?searchtype=author&amp;query=Fletcher%2C+L+B">Luke B. Fletcher</a>, <a href="/search/physics?searchtype=author&amp;query=Appel%2C+K">Karen Appel</a>, <a href="/search/physics?searchtype=author&amp;query=Baehtz%2C+C">Carsten Baehtz</a>, <a href="/search/physics?searchtype=author&amp;query=Bouffetier%2C+V">Victorien Bouffetier</a>, <a href="/search/physics?searchtype=author&amp;query=Brambrink%2C+E">Erik Brambrink</a>, <a href="/search/physics?searchtype=author&amp;query=Brown%2C+D">Danielle Brown</a>, <a href="/search/physics?searchtype=author&amp;query=Cangi%2C+A">Attila Cangi</a>, <a href="/search/physics?searchtype=author&amp;query=Descamps%2C+A">Adrien Descamps</a>, <a href="/search/physics?searchtype=author&amp;query=G%C3%B6de%2C+S">Sebastian G枚de</a>, <a href="/search/physics?searchtype=author&amp;query=Hartley%2C+N+J">Nicholas J. Hartley</a>, <a href="/search/physics?searchtype=author&amp;query=Herbert%2C+M">Marie-Luise Herbert</a>, <a href="/search/physics?searchtype=author&amp;query=Hesselbach%2C+P">Philipp Hesselbach</a>, <a href="/search/physics?searchtype=author&amp;query=H%C3%B6ppner%2C+H">Hauke H枚ppner</a>, <a href="/search/physics?searchtype=author&amp;query=Humphries%2C+O+S">Oliver S. Humphries</a>, <a href="/search/physics?searchtype=author&amp;query=Kon%C3%B4pkov%C3%A1%2C+Z">Zuzana Kon么pkov谩</a>, <a href="/search/physics?searchtype=author&amp;query=Garcia%2C+A+L">Alejandro Laso Garcia</a>, <a href="/search/physics?searchtype=author&amp;query=Lindqvist%2C+B">Bj枚rn Lindqvist</a>, <a href="/search/physics?searchtype=author&amp;query=L%C3%BCtgert%2C+J">Julian L眉tgert</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Makita%2C+M">Mikako Makita</a>, <a href="/search/physics?searchtype=author&amp;query=Martin%2C+W">Willow Martin</a>, <a href="/search/physics?searchtype=author&amp;query=Mishchenko%2C+M">Mikhail Mishchenko</a>, <a href="/search/physics?searchtype=author&amp;query=Moldabekov%2C+Z+A">Zhandos A. Moldabekov</a> , et al. (14 additional authors not shown) </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="2406.03301v2-abstract-short" style="display: inline;"> Mosaic crystals, with their high integrated reflectivities, are widely-employed in spectrometers used to diagnose high energy density systems. X-ray Thomson scattering (XRTS) has emerged as a powerful diagnostic tool of these systems, providing in principle direct access to important properties such as the temperature via detailed balance. However, the measured XRTS spectrum is broadened by the sp&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2406.03301v2-abstract-full').style.display = 'inline'; document.getElementById('2406.03301v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2406.03301v2-abstract-full" style="display: none;"> Mosaic crystals, with their high integrated reflectivities, are widely-employed in spectrometers used to diagnose high energy density systems. X-ray Thomson scattering (XRTS) has emerged as a powerful diagnostic tool of these systems, providing in principle direct access to important properties such as the temperature via detailed balance. However, the measured XRTS spectrum is broadened by the spectrometer instrument function (IF), and without careful consideration of the IF one risks misdiagnosing system conditions. Here, we consider in detail the IF of 40 $渭$m and 100 $渭$m mosaic HAPG crystals, and how the broadening varies across the spectrometer in an energy range of 6.7-8.6 keV. Notably, we find a strong asymmetry in the shape of the IF towards higher energies. As an example, we consider the effect of the asymmetry in the IF on the temperature inferred via XRTS for simulated 80 eV CH plasmas, and find that the temperature can be overestimated if an approximate symmetric IF is used. We therefore expect a detailed consideration of the full IF will have an important impact on system properties inferred via XRTS in both forward modelling and model-free approaches. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2406.03301v2-abstract-full').style.display = 'none'; document.getElementById('2406.03301v2-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 5 June, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2024. </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, 13 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/2306.17653">arXiv:2306.17653</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2306.17653">pdf</a>, <a href="https://arxiv.org/format/2306.17653">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> </div> </div> <p class="title is-5 mathjax"> Evidence of free-bound transitions in warm dense matter and their impact on equation-of-state measurements </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=B%C3%B6hme%2C+M+P">Maximilian P. B枚hme</a>, <a href="/search/physics?searchtype=author&amp;query=Fletcher%2C+L+B">Luke B. Fletcher</a>, <a href="/search/physics?searchtype=author&amp;query=D%C3%B6ppner%2C+T">Tilo D枚ppner</a>, <a href="/search/physics?searchtype=author&amp;query=Kraus%2C+D">Dominik Kraus</a>, <a href="/search/physics?searchtype=author&amp;query=Baczewski%2C+A+D">Andrew D. Baczewski</a>, <a href="/search/physics?searchtype=author&amp;query=Preston%2C+T+R">Thomas R. Preston</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Graziani%2C+F+R">Frank R. Graziani</a>, <a href="/search/physics?searchtype=author&amp;query=Moldabekov%2C+Z+A">Zhandos A. Moldabekov</a>, <a href="/search/physics?searchtype=author&amp;query=Vorberger%2C+J">Jan Vorberger</a>, <a href="/search/physics?searchtype=author&amp;query=Dornheim%2C+T">Tobias Dornheim</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="2306.17653v1-abstract-short" style="display: inline;"> Warm dense matter (WDM) is now routinely created and probed in laboratories around the world, providing unprecedented insights into conditions achieved in stellar atmospheres, planetary interiors, and inertial confinement fusion experiments. However, the interpretation of these experiments is often filtered through models with systematic errors that are difficult to quantify. Due to the simultaneo&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.17653v1-abstract-full').style.display = 'inline'; document.getElementById('2306.17653v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.17653v1-abstract-full" style="display: none;"> Warm dense matter (WDM) is now routinely created and probed in laboratories around the world, providing unprecedented insights into conditions achieved in stellar atmospheres, planetary interiors, and inertial confinement fusion experiments. However, the interpretation of these experiments is often filtered through models with systematic errors that are difficult to quantify. Due to the simultaneous presence of quantum degeneracy and thermal excitation, processes in which free electrons are de-excited into thermally unoccupied bound states transferring momentum and energy to a scattered x-ray photon become viable. Here we show that such free-bound transitions are a particular feature of WDM and vanish in the limits of cold and hot temperatures. The inclusion of these processes into the analysis of recent X-ray Thomson Scattering experiments on WDM at the National Ignition Facility and the Linac Coherent Light Source significantly improves model fits, indicating that free-bound transitions have been observed without previously being identified. This interpretation is corroborated by agreement with a recently developed model-free thermometry technique and presents an important step for precisely characterizing and understanding the complex WDM state of matter. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.17653v1-abstract-full').style.display = 'none'; document.getElementById('2306.17653v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2305.15305">arXiv:2305.15305</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2305.15305">pdf</a>, <a href="https://arxiv.org/format/2305.15305">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Optics">physics.optics</span> </div> </div> <p class="title is-5 mathjax"> X-ray Thomson scattering absolute intensity from the f-sum rule in the imaginary-time domain </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Dornheim%2C+T">Tobias Dornheim</a>, <a href="/search/physics?searchtype=author&amp;query=D%C3%B6ppner%2C+T">Tilo D枚ppner</a>, <a href="/search/physics?searchtype=author&amp;query=Baczewski%2C+A+D">Andrew D. Baczewski</a>, <a href="/search/physics?searchtype=author&amp;query=Tolias%2C+P">Panagiotis Tolias</a>, <a href="/search/physics?searchtype=author&amp;query=B%C3%B6hme%2C+M+P">Maximilian P. B枚hme</a>, <a href="/search/physics?searchtype=author&amp;query=Moldabekov%2C+Z+A">Zhandos A. Moldabekov</a>, <a href="/search/physics?searchtype=author&amp;query=Gawne%2C+T">Thomas Gawne</a>, <a href="/search/physics?searchtype=author&amp;query=Ranjan%2C+D">Divyanshu Ranjan</a>, <a href="/search/physics?searchtype=author&amp;query=Chapman%2C+D+A">David A. Chapman</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Preston%2C+T+R">Thomas R. Preston</a>, <a href="/search/physics?searchtype=author&amp;query=Kraus%2C+D">Dominik Kraus</a>, <a href="/search/physics?searchtype=author&amp;query=Vorberger%2C+J">Jan Vorberger</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="2305.15305v2-abstract-short" style="display: inline;"> We present a formally exact and simulation-free approach for the normalization of X-ray Thomson scattering (XRTS) spectra based on the f-sum rule of the imaginary-time correlation function (ITCF). Our method works for any degree of collectivity, over a broad range of temperatures, and is applicable even in nonequilibrium situations. In addition to giving us model-free access to electronic correlat&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.15305v2-abstract-full').style.display = 'inline'; document.getElementById('2305.15305v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2305.15305v2-abstract-full" style="display: none;"> We present a formally exact and simulation-free approach for the normalization of X-ray Thomson scattering (XRTS) spectra based on the f-sum rule of the imaginary-time correlation function (ITCF). Our method works for any degree of collectivity, over a broad range of temperatures, and is applicable even in nonequilibrium situations. In addition to giving us model-free access to electronic correlations, this new approach opens up the intriguing possibility to extract a plethora of physical properties from the ITCF based on XRTS experiments. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.15305v2-abstract-full').style.display = 'none'; document.getElementById('2305.15305v2-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 March, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 24 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.11310">arXiv:2111.11310</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2111.11310">pdf</a>, <a href="https://arxiv.org/format/2111.11310">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-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/10.1038/s41586-021-03382-w">10.1038/s41586-021-03382-w <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The data-driven future of high energy density physics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Hatfield%2C+P+W">Peter W. Hatfield</a>, <a href="/search/physics?searchtype=author&amp;query=Gaffney%2C+J+A">Jim A. Gaffney</a>, <a href="/search/physics?searchtype=author&amp;query=Anderson%2C+G+J">Gemma J. Anderson</a>, <a href="/search/physics?searchtype=author&amp;query=Ali%2C+S">Suzanne Ali</a>, <a href="/search/physics?searchtype=author&amp;query=Antonelli%2C+L">Luca Antonelli</a>, <a href="/search/physics?searchtype=author&amp;query=Pree%2C+S+B+d">Suzan Ba艧e臒mez du Pree</a>, <a href="/search/physics?searchtype=author&amp;query=Citrin%2C+J">Jonathan Citrin</a>, <a href="/search/physics?searchtype=author&amp;query=Fajardo%2C+M">Marta Fajardo</a>, <a href="/search/physics?searchtype=author&amp;query=Knapp%2C+P">Patrick Knapp</a>, <a href="/search/physics?searchtype=author&amp;query=Kettle%2C+B">Brendan Kettle</a>, <a href="/search/physics?searchtype=author&amp;query=Kustowski%2C+B">Bogdan Kustowski</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Mariscal%2C+D">Derek Mariscal</a>, <a href="/search/physics?searchtype=author&amp;query=Martin%2C+M+E">Madison E. Martin</a>, <a href="/search/physics?searchtype=author&amp;query=Nagayama%2C+T">Taisuke Nagayama</a>, <a href="/search/physics?searchtype=author&amp;query=Palmer%2C+C+A+J">Charlotte A. J. Palmer</a>, <a href="/search/physics?searchtype=author&amp;query=Peterson%2C+J+L">J. Luc Peterson</a>, <a href="/search/physics?searchtype=author&amp;query=Rose%2C+S">Steven Rose</a>, <a href="/search/physics?searchtype=author&amp;query=Ruby%2C+J+J">J J Ruby</a>, <a href="/search/physics?searchtype=author&amp;query=Shneider%2C+C">Carl Shneider</a>, <a href="/search/physics?searchtype=author&amp;query=Streeter%2C+M+J+V">Matt J. V. Streeter</a>, <a href="/search/physics?searchtype=author&amp;query=Trickey%2C+W">Will Trickey</a>, <a href="/search/physics?searchtype=author&amp;query=Williams%2C+B">Ben Williams</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="2111.11310v1-abstract-short" style="display: inline;"> The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems are strongly non-linear and very difficult to understand theoretically or optimize experimentally. Here, we argue that machine learning models and data-driven&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.11310v1-abstract-full').style.display = 'inline'; document.getElementById('2111.11310v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.11310v1-abstract-full" style="display: none;"> The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems are strongly non-linear and very difficult to understand theoretically or optimize experimentally. Here, we argue that machine learning models and data-driven methods are in the process of reshaping our exploration of these extreme systems that have hitherto proven far too non-linear for human researchers. From a fundamental perspective, our understanding can be helped by the way in which machine learning models can rapidly discover complex interactions in large data sets. From a practical point of view, the newest generation of extreme physics facilities can perform experiments multiple times a second (as opposed to ~daily), moving away from human-based control towards automatic control based on real-time interpretation of diagnostic data and updates of the physics model. To make the most of these emerging opportunities, we advance proposals for the community in terms of research design, training, best practices, and support for synthetic diagnostics and data analysis. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.11310v1-abstract-full').style.display = 'none'; document.getElementById('2111.11310v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </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, 4 figures. This work was the result of a meeting at the Lorentz Center, University of Leiden, 13th-17th January 2020. This is a preprint of Hatfield et al., Nature, 593, 7859, 351-361 (2021) https://www.nature.com/articles/s41586-021-03382-w</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nature, 593, 7859, 351-361, 2021 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.04640">arXiv:2111.04640</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2111.04640">pdf</a>, <a href="https://arxiv.org/format/2111.04640">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> </div> </div> <p class="title is-5 mathjax"> Experiments conducted in the burning plasma regime with inertial fusion implosions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Ross%2C+J+S">J. S. Ross</a>, <a href="/search/physics?searchtype=author&amp;query=Ralph%2C+J+E">J. E. Ralph</a>, <a href="/search/physics?searchtype=author&amp;query=Zylstra%2C+A+B">A. B. Zylstra</a>, <a href="/search/physics?searchtype=author&amp;query=Kritcher%2C+A+L">A. L. Kritcher</a>, <a href="/search/physics?searchtype=author&amp;query=Robey%2C+H+F">H. F. Robey</a>, <a href="/search/physics?searchtype=author&amp;query=Young%2C+C+V">C. V. Young</a>, <a href="/search/physics?searchtype=author&amp;query=Hurricane%2C+O+A">O. A. Hurricane</a>, <a href="/search/physics?searchtype=author&amp;query=Callahan%2C+D+A">D. A. Callahan</a>, <a href="/search/physics?searchtype=author&amp;query=Baker%2C+K+L">K. L. Baker</a>, <a href="/search/physics?searchtype=author&amp;query=Casey%2C+D+T">D. T. Casey</a>, <a href="/search/physics?searchtype=author&amp;query=Doeppner%2C+T">T. Doeppner</a>, <a href="/search/physics?searchtype=author&amp;query=Divol%2C+L">L. Divol</a>, <a href="/search/physics?searchtype=author&amp;query=Hohenberger%2C+M">M. Hohenberger</a>, <a href="/search/physics?searchtype=author&amp;query=Pape%2C+S+L">S. Le Pape</a>, <a href="/search/physics?searchtype=author&amp;query=Pak%2C+A">A. Pak</a>, <a href="/search/physics?searchtype=author&amp;query=Patel%2C+P+K">P. K. Patel</a>, <a href="/search/physics?searchtype=author&amp;query=Tommasini%2C+R">R. Tommasini</a>, <a href="/search/physics?searchtype=author&amp;query=Ali%2C+S+J">S. J. Ali</a>, <a href="/search/physics?searchtype=author&amp;query=Amendt%2C+P+A">P. A. Amendt</a>, <a href="/search/physics?searchtype=author&amp;query=Atherton%2C+L+J">L. J. Atherton</a>, <a href="/search/physics?searchtype=author&amp;query=Bachmann%2C+B">B. Bachmann</a>, <a href="/search/physics?searchtype=author&amp;query=Bailey%2C+D">D. Bailey</a>, <a href="/search/physics?searchtype=author&amp;query=Benedetti%2C+L+R">L. R. Benedetti</a>, <a href="/search/physics?searchtype=author&amp;query=Hopkins%2C+L+B">L. Berzak Hopkins</a>, <a href="/search/physics?searchtype=author&amp;query=Betti%2C+R">R. Betti</a> , et al. (127 additional authors not shown) </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="2111.04640v1-abstract-short" style="display: inline;"> An experimental program is currently underway at the National Ignition Facility (NIF) to compress deuterium and tritium (DT) fuel to densities and temperatures sufficient to achieve fusion and energy gain. The primary approach being investigated is indirect drive inertial confinement fusion (ICF), where a high-Z radiation cavity (a hohlraum) is heated by lasers, converting the incident energy into&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.04640v1-abstract-full').style.display = 'inline'; document.getElementById('2111.04640v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.04640v1-abstract-full" style="display: none;"> An experimental program is currently underway at the National Ignition Facility (NIF) to compress deuterium and tritium (DT) fuel to densities and temperatures sufficient to achieve fusion and energy gain. The primary approach being investigated is indirect drive inertial confinement fusion (ICF), where a high-Z radiation cavity (a hohlraum) is heated by lasers, converting the incident energy into x-ray radiation which in turn drives the DT fuel filled capsule causing it to implode. Previous experiments reported DT fuel gain exceeding unity [O.A. Hurricane et al., Nature 506, 343 (2014)] and then exceeding the kinetic energy of the imploding fuel [S. Le Pape et al., Phys. Rev. Lett. 120, 245003 (2018)]. We report on recent experiments that have achieved record fusion neutron yields on NIF, greater than 100 kJ with momentary fusion powers exceeding 1PW, and have for the first time entered the burning plasma regime where fusion alpha-heating of the fuel exceeds the energy delivered to the fuel via compression. This was accomplished by increasing the size of the high-density carbon (HDC) capsule, increasing energy coupling, while controlling symmetry and implosion design parameters. Two tactics were successful in controlling the radiation flux symmetry and therefore the implosion symmetry: transferring energy between laser cones via plasma waves, and changing the shape of the hohlraum. In conducting these experiments, we controlled for known sources of degradation. Herein we show how these experiments were performed to produce record performance, and demonstrate the data fidelity leading us to conclude that these shots have entered the burning plasma regime. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.04640v1-abstract-full').style.display = 'none'; document.getElementById('2111.04640v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2106.06493">arXiv:2106.06493</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2106.06493">pdf</a>, <a href="https://arxiv.org/format/2106.06493">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Astrophysical Phenomena">astro-ph.HE</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Methods for Astrophysics">astro-ph.IM</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-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/10.3847/1538-4357/abf1ea">10.3847/1538-4357/abf1ea <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> High-resolution Laboratory Measurements of K-shell X-ray Line Polarization and Excitation Cross Sections in Heliumlike S XV Ions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Shah%2C+C">Chintan Shah</a>, <a href="/search/physics?searchtype=author&amp;query=Hell%2C+N">Natalie Hell</a>, <a href="/search/physics?searchtype=author&amp;query=Hubbard%2C+A">Antonia Hubbard</a>, <a href="/search/physics?searchtype=author&amp;query=Gu%2C+M+F">Ming Feng Gu</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">Michael J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Eckart%2C+M+E">Megan E. Eckart</a>, <a href="/search/physics?searchtype=author&amp;query=Kelley%2C+R+L">Richard L. Kelley</a>, <a href="/search/physics?searchtype=author&amp;query=Kilbourne%2C+C+A">Caroline A. Kilbourne</a>, <a href="/search/physics?searchtype=author&amp;query=Leutenegger%2C+M+A">Maurice A. Leutenegger</a>, <a href="/search/physics?searchtype=author&amp;query=Porter%2C+F+S">F. Scott Porter</a>, <a href="/search/physics?searchtype=author&amp;query=Brown%2C+G+V">Gregory V. Brown</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="2106.06493v1-abstract-short" style="display: inline;"> We report measurements of electron-impact excitation cross sections for the strong K-shell n=2-1 transitions in S XV using the LLNL EBIT-I electron beam ion trap, two crystal spectrometers, and the EBIT Calorimeter Spectrometer. The cross sections are determined by direct normalization to the well known cross sections of radiative electron capture, measured simultaneously. Using contemporaneous po&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2106.06493v1-abstract-full').style.display = 'inline'; document.getElementById('2106.06493v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2106.06493v1-abstract-full" style="display: none;"> We report measurements of electron-impact excitation cross sections for the strong K-shell n=2-1 transitions in S XV using the LLNL EBIT-I electron beam ion trap, two crystal spectrometers, and the EBIT Calorimeter Spectrometer. The cross sections are determined by direct normalization to the well known cross sections of radiative electron capture, measured simultaneously. Using contemporaneous polarization measurements with the two crystal spectrometers, whose dispersion planes are oriented parallel and perpendicular to the electron beam direction, the polarization of the direct excitation line emission is determined, and in turn the isotropic total cross sections are extracted. We further experimentally investigate various line-formation mechanisms, finding that radiative cascades and collisional inner-shell ionization dominate the degree of linear polarization and total line-emission cross sections of the forbidden line $z$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2106.06493v1-abstract-full').style.display = 'none'; document.getElementById('2106.06493v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 June, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2021. </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, 9 Figures, published in ApJ</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> The Astrophysical Journal, 914, 34 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1704.04311">arXiv:1704.04311</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/1704.04311">pdf</a>, <a href="https://arxiv.org/format/1704.04311">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-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.118.194801">10.1103/PhysRevLett.118.194801 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Relativistic electron streaming instabilities modulate proton beams accelerated in laser-plasma interactions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=G%C3%B6de%2C+S">S. G枚de</a>, <a href="/search/physics?searchtype=author&amp;query=R%C3%B6del%2C+C">C. R枚del</a>, <a href="/search/physics?searchtype=author&amp;query=Zeil%2C+K">K. Zeil</a>, <a href="/search/physics?searchtype=author&amp;query=Mishra%2C+R">R. Mishra</a>, <a href="/search/physics?searchtype=author&amp;query=Gauthier%2C+M">M. Gauthier</a>, <a href="/search/physics?searchtype=author&amp;query=Brack%2C+F">F. Brack</a>, <a href="/search/physics?searchtype=author&amp;query=Kluge%2C+T">T. Kluge</a>, <a href="/search/physics?searchtype=author&amp;query=MacDonald%2C+M+J">M. J. MacDonald</a>, <a href="/search/physics?searchtype=author&amp;query=Metzkes%2C+J">J. Metzkes</a>, <a href="/search/physics?searchtype=author&amp;query=Obst%2C+L">L. Obst</a>, <a href="/search/physics?searchtype=author&amp;query=Rehwald%2C+M">M. Rehwald</a>, <a href="/search/physics?searchtype=author&amp;query=Ruyer%2C+C">C. Ruyer</a>, <a href="/search/physics?searchtype=author&amp;query=Schlenvoigt%2C+H+-">H. -P. Schlenvoigt</a>, <a href="/search/physics?searchtype=author&amp;query=Schumaker%2C+W">W. Schumaker</a>, <a href="/search/physics?searchtype=author&amp;query=Sommer%2C+P">P. Sommer</a>, <a href="/search/physics?searchtype=author&amp;query=Cowan%2C+T+E">T. E. Cowan</a>, <a href="/search/physics?searchtype=author&amp;query=Schramm%2C+U">U. Schramm</a>, <a href="/search/physics?searchtype=author&amp;query=Glenzer%2C+S">S. Glenzer</a>, <a href="/search/physics?searchtype=author&amp;query=Fiuza%2C+F">F. Fiuza</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="1704.04311v1-abstract-short" style="display: inline;"> We report experimental evidence that multi-MeV protons accelerated in relativistic laser-plasma interactions are modulated by strong filamentary electromagnetic fields. Modulations are observed when a preplasma is developed on the rear side of a $渭$m-scale solid-density hydrogen target. Under such conditions, electromagnetic fields are amplified by the relativistic electron Weibel instability and&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1704.04311v1-abstract-full').style.display = 'inline'; document.getElementById('1704.04311v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1704.04311v1-abstract-full" style="display: none;"> We report experimental evidence that multi-MeV protons accelerated in relativistic laser-plasma interactions are modulated by strong filamentary electromagnetic fields. Modulations are observed when a preplasma is developed on the rear side of a $渭$m-scale solid-density hydrogen target. Under such conditions, electromagnetic fields are amplified by the relativistic electron Weibel instability and are maximized at the critical density region of the target. The analysis of the spatial profile of the protons indicates the generation of $B&gt;$10 MG and $E&gt;$0.1 MV/$渭$m fields with a $渭$m-scale wavelength. These results are in good agreement with three-dimensional particle-in-cell simulations and analytical estimates, which further confirm that this process is dominant for different target materials provided that a preplasma is formed on the rear side with scale length $\gtrsim 0.13 位_0 \sqrt{a_0}$. These findings impose important constraints on the preplasma levels required for high-quality proton acceleration for multi-purpose applications. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1704.04311v1-abstract-full').style.display = 'none'; document.getElementById('1704.04311v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 April, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2017. </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">Accepted for publication in Physical Review Letters, 5 pages, 3 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 118, 194801 (2017) </p> </li> </ol> <div class="is-hidden-tablet"> <!-- feedback for mobile only --> <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 2020-02-24</a>&nbsp;&nbsp;</span> </div> </div> </main> <footer> <div class="columns is-desktop" role="navigation" aria-label="Secondary"> <!-- MetaColumn 1 --> <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul class="nav-spaced"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div> <!-- end MetaColumn 1 --> <!-- MetaColumn 2 --> <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/license/index.html">Copyright</a></li> <li><a href="https://info.arxiv.org/help/policies/privacy_policy.html">Privacy Policy</a></li> </ul> </div> <div class="column sorry-app-links"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/web_accessibility.html">Web Accessibility Assistance</a></li> <li> <p class="help"> <a class="a11y-main-link" href="https://status.arxiv.org" target="_blank">arXiv Operational Status <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 256 512" class="icon filter-dark_grey" role="presentation"><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"/></svg></a><br> Get status notifications via <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/email/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg>email</a> or <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/slack/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon filter-black" role="presentation"><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"/></svg>slack</a> </p> </li> </ul> </div> </div> </div> <!-- end MetaColumn 2 --> </div> </footer> <script src="https://static.arxiv.org/static/base/1.0.0a5/js/member_acknowledgement.js"></script> </body> </html>

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