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</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/2410.07386">arXiv:2410.07386</a> <span> [<a href="https://arxiv.org/pdf/2410.07386">pdf</a>, <a href="https://arxiv.org/format/2410.07386">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Space Physics">physics.space-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> </div> </div> <p class="title is-5 mathjax"> Nonlinear resonant interactions of radiation belt electrons with intense whistler-mode waves </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Mourenas%2C+D">D. Mourenas</a>, <a href="/search/physics?searchtype=author&query=Zhang%2C+X+-">X. -J. Zhang</a>, <a href="/search/physics?searchtype=author&query=Agapitov%2C+O">O. Agapitov</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vainchtein%2C+D+L">D. L. Vainchtein</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Zhang%2C+X">X. Zhang</a>, <a href="/search/physics?searchtype=author&query=Ma%2C+Q">Q. Ma</a>, <a href="/search/physics?searchtype=author&query=Bortnik%2C+J">J. Bortnik</a>, <a href="/search/physics?searchtype=author&query=Krasnoselskikh%2C+V+V">V. V. Krasnoselskikh</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="2410.07386v1-abstract-short" style="display: inline;"> The dynamics of the Earth's outer radiation belt, filled by energetic electron fluxes, is largely controlled by electron resonant interactions with electromagnetic whistler-mode waves. The most coherent and intense waves resonantly interact with electrons nonlinearly, and the observable effects of such nonlinear interactions cannot be described within the frame of classical quasi-linear models. Th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.07386v1-abstract-full').style.display = 'inline'; document.getElementById('2410.07386v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2410.07386v1-abstract-full" style="display: none;"> The dynamics of the Earth's outer radiation belt, filled by energetic electron fluxes, is largely controlled by electron resonant interactions with electromagnetic whistler-mode waves. The most coherent and intense waves resonantly interact with electrons nonlinearly, and the observable effects of such nonlinear interactions cannot be described within the frame of classical quasi-linear models. This paper provides an overview of the current stage of the theory of nonlinear resonant interactions and discusses different possible approaches for incorporating these nonlinear interactions into global radiation belt simulations. We focused on observational properties of whistler-mode waves and theoretical aspects of electron nonlinear resonant interactions between such waves and energetic electrons. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.07386v1-abstract-full').style.display = 'none'; document.getElementById('2410.07386v1-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 October, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.13511">arXiv:2107.13511</a> <span> [<a href="https://arxiv.org/pdf/2107.13511">pdf</a>, <a href="https://arxiv.org/format/2107.13511">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Space Physics">physics.space-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Chaotic Dynamics">nlin.CD</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.104.055203">10.1103/PhysRevE.104.055203 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> On a transitional regime of electron resonant interaction with whistler-mode waves in inhomogeneous space plasma </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Mourenas%2C+D">D. Mourenas</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="2107.13511v1-abstract-short" style="display: inline;"> Resonances with electromagnetic whistler-mode waves are the primary driver for the formation and dynamics of energetic electron fluxes in various space plasma systems, including shock waves and planetary radiation belts. The basic and most elaborated theoretical framework for the description of the integral effect of multiple resonant interactions is the quasi-linear theory, that operates through… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.13511v1-abstract-full').style.display = 'inline'; document.getElementById('2107.13511v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.13511v1-abstract-full" style="display: none;"> Resonances with electromagnetic whistler-mode waves are the primary driver for the formation and dynamics of energetic electron fluxes in various space plasma systems, including shock waves and planetary radiation belts. The basic and most elaborated theoretical framework for the description of the integral effect of multiple resonant interactions is the quasi-linear theory, that operates through electron diffusion in velocity space. The quasi-linear diffusion rate scales linearly with the wave intensity, D(QL) is proportional to Bw2, which should be small enough to satisfy the applicability criteria of this theory. Spacecraft measurements, however, often detect whistle-mode waves sufficiently intense to resonate with electrons nonlinearly. Such nonlinear resonant interactions imply effects of phase trapping and phase bunching, which may quickly change the electron fluxes in a non-diffusive manner. Both regimes of electron resonant interactions (diffusive and nonlinear) are well studied, but there is no theory quantifying the transition between these two regimes. In this paper we describe the integral effect of nonlinear electron interactions with whistler-mode waves in terms of the time-scale of electron distribution relaxation, is about inverse D(NL). We determine the scaling of D(NL) with wave intensity Bw2 and other main wave characteristics, such as wave-packet size. The comparison of D(QL) and D(NL) provides the range of wave intensity and wave-packet sizes where the electron distribution evolves at the same rates for the diffusive and nonlinear resonant regimes. The obtained results are discussed in the context of energetic electron dynamics in the Earth's radiation belt. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.13511v1-abstract-full').style.display = 'none'; document.getElementById('2107.13511v1-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, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2011.00208">arXiv:2011.00208</a> <span> [<a href="https://arxiv.org/pdf/2011.00208">pdf</a>, <a href="https://arxiv.org/format/2011.00208">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Space Physics">physics.space-ph</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/10.1017/S0022377821000246">10.1017/S0022377821000246 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">Anton V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">Anatoly I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">Alexei. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Zhang%2C+X">Xiao-Jia Zhang</a>, <a href="/search/physics?searchtype=author&query=Mourenas%2C+D">Didier Mourenas</a>, <a href="/search/physics?searchtype=author&query=Vainchtein%2C+D">Dmitri Vainchtein</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="2011.00208v1-abstract-short" style="display: inline;"> In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant trajectory analysis and then generalize them into the map in the energy/pitch-angle space. The main advances of this approach are the possibility to consider effects of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2011.00208v1-abstract-full').style.display = 'inline'; document.getElementById('2011.00208v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2011.00208v1-abstract-full" style="display: none;"> In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant trajectory analysis and then generalize them into the map in the energy/pitch-angle space. The main advances of this approach are the possibility to consider effects of many resonances and to simulate the evolution of the resonant particle ensemble on long time ranges. For illustrative purposes we consider the system with resonant relativistic electrons and field-aligned whistler-mode waves. The simulation results show that the electron phase space density within the resonant region is flattened with reduction of gradients. This evolution is much faster than the predictions of quasi-linear theory. We discuss further applications of the proposed approach and possible ways for its generalization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2011.00208v1-abstract-full').style.display = 'none'; document.getElementById('2011.00208v1-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 October, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2020. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1911.11459">arXiv:1911.11459</a> <span> [<a href="https://arxiv.org/pdf/1911.11459">pdf</a>, <a href="https://arxiv.org/format/1911.11459">other</a>] </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="Chaotic Dynamics">nlin.CD</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/10.1063/1.5144477">10.1063/1.5144477 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Mapping for nonlinear electron interaction with whistler-mode waves </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</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="1911.11459v1-abstract-short" style="display: inline;"> The resonant interaction of relativistic electrons and whistler waves is an important mechanism of electron acceleration and scattering in the Earth radiation belts and other space plasma systems. For low amplitude waves, such an interaction is well described by the quasi-linear diffusion theory, whereas nonlinear resonant effects induced by high-amplitude waves are mostly investigated (analytical… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1911.11459v1-abstract-full').style.display = 'inline'; document.getElementById('1911.11459v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1911.11459v1-abstract-full" style="display: none;"> The resonant interaction of relativistic electrons and whistler waves is an important mechanism of electron acceleration and scattering in the Earth radiation belts and other space plasma systems. For low amplitude waves, such an interaction is well described by the quasi-linear diffusion theory, whereas nonlinear resonant effects induced by high-amplitude waves are mostly investigated (analytically and numerically) using the test particle approach. In this paper, we develop a mapping technique for the description of this nonlinear resonant interaction. Using the Hamiltonian theory for resonant systems, we derive the main characteristics of electron transport in the phase space and combine these characteristics to construct the map. This map can be considered as a generalization of the classical Chirikov map for systems with nondiffusive particle transport and allows us to model the long-term evolution of the electron distribution function. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1911.11459v1-abstract-full').style.display = 'none'; document.getElementById('1911.11459v1-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 November, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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">12 pages, 8 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/1904.02973">arXiv:1904.02973</a> <span> [<a href="https://arxiv.org/pdf/1904.02973">pdf</a>, <a href="https://arxiv.org/format/1904.02973">other</a>] </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="Chaotic Dynamics">nlin.CD</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/10.1134/S1560354720010025">10.1134/S1560354720010025 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> A map for systems with resonant trappings and scatterings </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</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="1904.02973v1-abstract-short" style="display: inline;"> Slow-fast dynamics and resonant phenomena can be found in a wide range of physical systems, including problems of celestial mechanics, fluid mechanics, and charged particle dynamics. Important resonant effects that control transport in the phase space in such systems are resonant scatterings and trappings. For systems with weak diffusive scatterings the transport properties can be described with t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1904.02973v1-abstract-full').style.display = 'inline'; document.getElementById('1904.02973v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1904.02973v1-abstract-full" style="display: none;"> Slow-fast dynamics and resonant phenomena can be found in a wide range of physical systems, including problems of celestial mechanics, fluid mechanics, and charged particle dynamics. Important resonant effects that control transport in the phase space in such systems are resonant scatterings and trappings. For systems with weak diffusive scatterings the transport properties can be described with the Chirikov standard map, and the map parameters control the transition between stochastic and regular dynamics. In this paper we put forward the map for resonant systems with strong scatterings that result in non-diffusive drift in the phase space, and trappings that produce fast jumps in the phase space. We demonstrate that this map describes the transition between stochastic and regular dynamics and find the critical parameter values for this transition. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1904.02973v1-abstract-full').style.display = 'none'; document.getElementById('1904.02973v1-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> 5 April, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 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">11 pages, 2 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/1809.03743">arXiv:1809.03743</a> <span> [<a href="https://arxiv.org/pdf/1809.03743">pdf</a>, <a href="https://arxiv.org/format/1809.03743">other</a>] </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/10.1016/j.physd.2018.12.007">10.1016/j.physd.2018.12.007 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</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="1809.03743v1-abstract-short" style="display: inline;"> We consider a kinetic equation describing evolution of a particle distribution function in a system with nonlinear wave-particle interactions (trappings into a resonance and nonlinear scatterings). We study properties of its solutions and show that the only stationary solution is a constant, and that all solutions with smooth initial conditions tend to constant as time grows. The resulting flatten… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1809.03743v1-abstract-full').style.display = 'inline'; document.getElementById('1809.03743v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1809.03743v1-abstract-full" style="display: none;"> We consider a kinetic equation describing evolution of a particle distribution function in a system with nonlinear wave-particle interactions (trappings into a resonance and nonlinear scatterings). We study properties of its solutions and show that the only stationary solution is a constant, and that all solutions with smooth initial conditions tend to constant as time grows. The resulting flattening of the distribution function in the domain of nonlinear interactions is similar to one described by the quasi-linear plasma theory, but the distribution evolves much faster. The results are confirmed numerically for a model problem. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1809.03743v1-abstract-full').style.display = 'none'; document.getElementById('1809.03743v1-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> 11 September, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2018. </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">21 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/1710.04489">arXiv:1710.04489</a> <span> [<a href="https://arxiv.org/pdf/1710.04489">pdf</a>, <a href="https://arxiv.org/ps/1710.04489">ps</a>, <a href="https://arxiv.org/format/1710.04489">other</a>] </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"> Kinetic equation for systems with resonant captures and scatterings </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</a>, <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Mourenas%2C+D">D. Mourenas</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="1710.04489v1-abstract-short" style="display: inline;"> We study a Hamiltonian system of type describing a charged particle resonant interaction with an electromagnetic wave. We consider an ensemble of particles that repeatedly pass through the resonance with the wave, and study evolution of the distribution function due to multiple scatterings on the resonance and trappings (captures) into the resonance. We derive the corresponding kinetic equation. P… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04489v1-abstract-full').style.display = 'inline'; document.getElementById('1710.04489v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.04489v1-abstract-full" style="display: none;"> We study a Hamiltonian system of type describing a charged particle resonant interaction with an electromagnetic wave. We consider an ensemble of particles that repeatedly pass through the resonance with the wave, and study evolution of the distribution function due to multiple scatterings on the resonance and trappings (captures) into the resonance. We derive the corresponding kinetic equation. Particular cases of this problem has been studied in our recent papers [1, 2]. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.04489v1-abstract-full').style.display = 'none'; document.getElementById('1710.04489v1-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 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 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">11 pages, 2 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/1309.6501">arXiv:1309.6501</a> <span> [<a href="https://arxiv.org/pdf/1309.6501">pdf</a>, <a href="https://arxiv.org/ps/1309.6501">ps</a>, <a href="https://arxiv.org/format/1309.6501">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chaotic Dynamics">nlin.CD</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="Classical Physics">physics.class-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/10.1134/S1560354713060087">10.1134/S1560354713060087 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Capture into resonance and escape from it in a forced nonlinear pendulum </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</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="1309.6501v1-abstract-short" style="display: inline;"> We study dynamics of a nonlinear pendulum under a periodic force with small amplitude and slowly decreasing frequency. It is well known that when the frequency of the external force passes through the value of the frequency of the unperturbed pendulum's oscillations, the pendulum can be captured into the resonance. The captured pendulum oscillates in such a way that the resonance is preserved, and… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.6501v1-abstract-full').style.display = 'inline'; document.getElementById('1309.6501v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1309.6501v1-abstract-full" style="display: none;"> We study dynamics of a nonlinear pendulum under a periodic force with small amplitude and slowly decreasing frequency. It is well known that when the frequency of the external force passes through the value of the frequency of the unperturbed pendulum's oscillations, the pendulum can be captured into the resonance. The captured pendulum oscillates in such a way that the resonance is preserved, and the amplitude of the oscillations accordingly grows. We consider this problem in the frames of a standard Hamiltonian approach to resonant phenomena in slow-fast Hamiltonian systems developed earlier, and evaluate the probability of capture into the resonance. If the system passes the resonance at small enough initial amplitudes of the pendulum, the capture occurs with necessity (so-called autoresonance). In general, the probability of capture varies between one and zero, depending on the initial amplitude. We demonstrate that a pendulum captured at small values of its amplitude escapes from the resonance in the domain of oscillations close to the separatrix of the pendulum, and evaluate the amplitude of the oscillations at the escape. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.6501v1-abstract-full').style.display = 'none'; document.getElementById('1309.6501v1-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 September, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2013. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">MSC Class:</span> 70K70; 70K30; 34C15 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1011.2236">arXiv:1011.2236</a> <span> [<a href="https://arxiv.org/pdf/1011.2236">pdf</a>, <a href="https://arxiv.org/ps/1011.2236">ps</a>, <a href="https://arxiv.org/format/1011.2236">other</a>] </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="Chaotic Dynamics">nlin.CD</span> </div> </div> <p class="title is-5 mathjax"> Surfatron acceleration of a relativistic particle by electromagnetic plane wave </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Artemyev%2C+A+V">A. V. Artemyev</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="1011.2236v1-abstract-short" style="display: inline;"> We study motion of a relativistic charged particle in a plane slow electromagnetic wave and background uniform magnetic field. The wave propagates normally to the background field. Under certain conditions, the resonance between the wave and the Larmor motion of the particle is possible. Capture into this resonance results in acceleration of the particle along the wave front (surfatron acceleratio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1011.2236v1-abstract-full').style.display = 'inline'; document.getElementById('1011.2236v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1011.2236v1-abstract-full" style="display: none;"> We study motion of a relativistic charged particle in a plane slow electromagnetic wave and background uniform magnetic field. The wave propagates normally to the background field. Under certain conditions, the resonance between the wave and the Larmor motion of the particle is possible. Capture into this resonance results in acceleration of the particle along the wave front (surfatron acceleration). We analyse the phenomenon of capture and show that a captured particle never leaves the resonance and its energy infinitely grows. Scattering on the resonance is also studied. We find that this scattering results in diffusive growth of the particle energy. Finally, we estimate energy losses due to radiation by an accelerated particle. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1011.2236v1-abstract-full').style.display = 'none'; document.getElementById('1011.2236v1-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 November, 2010; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2010. </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">21 pages, 6 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/physics/0703199">arXiv:physics/0703199</a> <span> [<a href="https://arxiv.org/pdf/physics/0703199">pdf</a>, <a href="https://arxiv.org/ps/physics/0703199">ps</a>, <a href="https://arxiv.org/format/physics/0703199">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Instrumentation and Detectors">physics.ins-det</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.nima.2007.08.178">10.1016/j.nima.2007.08.178 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> First study of radiation hardness of lead tungstate crystals at low temperatures </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Semenov%2C+P+A">P. A. Semenov</a>, <a href="/search/physics?searchtype=author&query=Uzunian%2C+A+V">A. V. Uzunian</a>, <a href="/search/physics?searchtype=author&query=Davidenko%2C+A+M">A. M. Davidenko</a>, <a href="/search/physics?searchtype=author&query=Derevschikov%2C+A+A">A. A. Derevschikov</a>, <a href="/search/physics?searchtype=author&query=Goncharenko%2C+Y+M">Y. M. Goncharenko</a>, <a href="/search/physics?searchtype=author&query=Kachanov%2C+V+A">V. A. Kachanov</a>, <a href="/search/physics?searchtype=author&query=Khodyrev%2C+V+Y">V. Y. Khodyrev</a>, <a href="/search/physics?searchtype=author&query=Meschanin%2C+A+P">A. P. Meschanin</a>, <a href="/search/physics?searchtype=author&query=Minaev%2C+N+G">N. G. Minaev</a>, <a href="/search/physics?searchtype=author&query=Mochalov%2C+V+V">V. V. Mochalov</a>, <a href="/search/physics?searchtype=author&query=Melnick%2C+Y+M">Y. M. Melnick</a>, <a href="/search/physics?searchtype=author&query=Ryazantsev%2C+A+V">A. V. Ryazantsev</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+N">A. N. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Burachas%2C+S+F">S. F. Burachas</a>, <a href="/search/physics?searchtype=author&query=Ippolitov%2C+M+S">M. S. Ippolitov</a>, <a href="/search/physics?searchtype=author&query=Manko%2C+V">V. Manko</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</a>, <a href="/search/physics?searchtype=author&query=Mochalov%2C+A+V">A. V. Mochalov</a>, <a href="/search/physics?searchtype=author&query=Novotny%2C+R">R. Novotny</a>, <a href="/search/physics?searchtype=author&query=Tamulaitis%2C+G">G. Tamulaitis</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/0703199v1-abstract-short" style="display: inline;"> The electromagnetic calorimeter of PANDA at the FAIR facility will rely on an operation of lead tungstate (PWO) scintillation crystals at temperatures near -25 deg.C to provide sufficient resolution for photons in the energy range from 8 GeV down to 10 MeV. Radiation hardness of PWO crystals was studied at the IHEP (Protvino) irradiation facility in the temperature range from room temperature do… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0703199v1-abstract-full').style.display = 'inline'; document.getElementById('physics/0703199v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="physics/0703199v1-abstract-full" style="display: none;"> The electromagnetic calorimeter of PANDA at the FAIR facility will rely on an operation of lead tungstate (PWO) scintillation crystals at temperatures near -25 deg.C to provide sufficient resolution for photons in the energy range from 8 GeV down to 10 MeV. Radiation hardness of PWO crystals was studied at the IHEP (Protvino) irradiation facility in the temperature range from room temperature down to -25 deg.C. These studies have indicated a significantly different behaviour in the time evolution of the damaging processes well below room temperature. Different signal loss levels at the same dose rate, but at different temperatures were observed. The effect of a deep suppression of the crystal recovery process at temperatures below 0 deg.C has been seen. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0703199v1-abstract-full').style.display = 'none'; document.getElementById('physics/0703199v1-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 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">10 pages 7 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> IHEP 2007-4 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nucl.Instrum.Meth.A582:575-580,2007 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/nlin/0511050">arXiv:nlin/0511050</a> <span> [<a href="https://arxiv.org/pdf/nlin/0511050">pdf</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chaotic Dynamics">nlin.CD</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Accelerator Physics">physics.acc-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/10.1016/j.nima.2006.01.008">10.1016/j.nima.2006.01.008 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Destruction of adiabatic invariance at resonances in slow-fast Hamiltonian systems </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Neishtadt%2C+A+I">A. I. Neishtadt</a>, <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</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="nlin/0511050v1-abstract-short" style="display: inline;"> There are many problems that lead to analysis of dynamical systems in which one can distinguish motions of two types: slow one and fast one. An averaging over fast motion is used for approximate description of the slow motion. First integrals of the averaged system are approximate first integrals of the exact system, i.e. adiabatic invariants. Resonant phenomena in fast motion (capture into reso… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('nlin/0511050v1-abstract-full').style.display = 'inline'; document.getElementById('nlin/0511050v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="nlin/0511050v1-abstract-full" style="display: none;"> There are many problems that lead to analysis of dynamical systems in which one can distinguish motions of two types: slow one and fast one. An averaging over fast motion is used for approximate description of the slow motion. First integrals of the averaged system are approximate first integrals of the exact system, i.e. adiabatic invariants. Resonant phenomena in fast motion (capture into resonance, scattering on resonance) lead to inapplicability of averaging, destruction of adiabatic invariance, dynamical chaos and transport in large domains in the phase space. In the paper perturbation theory methods for description of these phenomena are outlined. We also consider as an example the problem of surfatron acceleration of a relativistic charged particle. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('nlin/0511050v1-abstract-full').style.display = 'none'; document.getElementById('nlin/0511050v1-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> 23 November, 2005; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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">The paper is based on a talk given at the COULOMB'05 Workshop on High Intensity Beam Dynamics, 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/physics/0204018">arXiv:physics/0204018</a> <span> [<a href="https://arxiv.org/pdf/physics/0204018">pdf</a>, <a href="https://arxiv.org/ps/physics/0204018">ps</a>, <a href="https://arxiv.org/format/physics/0204018">other</a>] </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"> Shock wave surfing acceleration </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Vasiliev%2C+A+A">A. A. Vasiliev</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/0204018v1-abstract-short" style="display: inline;"> Dynamics of a charged relativistic particle in a uniform magnetic field and an obliquely propagating electrostatic shock wave is considered. The system is reduced to a two degrees of freedom Hamiltonian system with slow and fast variables. In this system, the phenomenon of capture into resonance can take place. Under certain condition, a captured phase point stays captured forever. This correspo… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0204018v1-abstract-full').style.display = 'inline'; document.getElementById('physics/0204018v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="physics/0204018v1-abstract-full" style="display: none;"> Dynamics of a charged relativistic particle in a uniform magnetic field and an obliquely propagating electrostatic shock wave is considered. The system is reduced to a two degrees of freedom Hamiltonian system with slow and fast variables. In this system, the phenomenon of capture into resonance can take place. Under certain condition, a captured phase point stays captured forever. This corresponds to unlimited surfing acceleration of the particle. The preprint is a more detailed version of a comment on the paper by D.Ucer and V.D.Shapiro (Phys.Rev.Lett., vol. 87, 075001, 2001), intended for the Comments section of Physical Reviews Letters. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0204018v1-abstract-full').style.display = 'none'; document.getElementById('physics/0204018v1-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> 5 April, 2002; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2002. </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, 1 figure</span> </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search 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