Breaking microscopic reversibility with Levy flights

被引:11
|
作者
Kusmierz, Lukasz [1 ]
Chechkin, Aleksey [2 ,3 ,4 ]
Gudowska-Nowak, Ewa [1 ]
Bier, Martin [1 ,5 ]
机构
[1] Jagiellonian Univ, M Smoluchowski Inst Phys, Ul Lojasiewicza 11, PL-30348 Krakow, Poland
[2] Kharkov Inst Phys & Technol, Akhiezer Inst Theoret Phys, UA-61108 Kharkov, Ukraine
[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[4] Univ Padua, Dept Phys & Astron Galileo Galilei, Via Marzolo 8, I-35122 Padua, Italy
[5] East Carolina Univ, Dept Phys, Greenville, NC 27858 USA
关键词
IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; FLUCTUATIONS; MECHANISMS; DIFFUSION; MODELS; NOISE;
D O I
10.1209/0295-5075/114/60009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A system at equilibrium exhibits microscopic reversibility, i.e. any path in phase space is just as often traversed in one direction as that it is traversed in the opposite direction. We show how it is justified to characterize white Gaussian noise as equilibrium noise: when an overdamped particle in a potential is subjected to such noise, microscopic reversibility can be proven for most-probable-paths that lead from one potential well to another. However, when the overdamped particle is subjected to white Levy noise, time-reversal symmetry is broken and microscopic reversibility is violated, even when the noise is symmetric. We, furthermore, derive how for an overdamped particle inside a parabolic potential microscopic reversibility is violated in the presence of Levy white noise. Similar to Brownian vortexes, Levy flights can be associated with the presence of Levy vortexes in phase space. Copyright (C) EPLA, 2016
引用
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页数:6
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