Statistical time-reversal symmetry and its physical applications

被引：6

作者：

Dubkov, Alexander A. ^{[1
]}

机构：

[1] Lobachevsky State Univ, Radiophys Dept, Nizhnii Novgorod 603950, Russia

来源：

CHEMICAL PHYSICS | 2010年 / 375卷 / 2-3期

基金：

俄罗斯基础研究基金会;

关键词：

Time-reversal symmetry; Cumulant functions; Markovian process; Langevin equation; Fluctuation-dissipation theorems; Oscillator with fluctuating frequency; FLUCTUATION-DISSIPATION THEOREM; COSTA; IVL ET-AL; BROWNIAN-MOTION; FAST SUPERDIFFUSION; GREEN NOISE; MOMENT INSTABILITIES; STOCHASTIC RESONANCE; HARMONIC OSCILLATOR; SYSTEMS; FAILS;

D O I：

10.1016/j.chemphys.2010.05.033

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Some important consequences of the time-reversal symmetry of a stationary random process are highlighted. We discuss a connection between fluctuation-dissipation theorems and model macroscopic Langevin equations. Based on the property of statistical time reversibility we obtain the exact result for steady-state distribution of classical harmonic oscillator with fluctuating frequency. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：364 / 369

页数：6

共 56 条

[1]

[Anonymous], 1980, STAT PHYS, DOI DOI 10.1016/C2009-0-24487-4

[2]

[Anonymous], 1990, The Nonequilibrium Statistical Mechanics of Open and Closed Systems

[3]

[Anonymous], 1978, A Cumulant Analysis of Random Non-Gaussian Processes and Their Transformations

[4] Comment on "The Fluctuation-Dissipation Theorem fails for fast superdiffusion" by IVL!Costa et al. [J].

Bao, JD .

EUROPHYSICS LETTERS, 2004, 67 (06) :1050-1051

[5] Ballistic diffusion induced by a thermal broadband noise [J].

Bao, JD ;

Zhuo, YZ .

PHYSICAL REVIEW LETTERS, 2003, 91 (13) :138104-138104

[6] Numerical integration of a non-Markovian Langevin equation with a thermal band-passing noise [J].

Bao, JD .

JOURNAL OF STATISTICAL PHYSICS, 2004, 114 (1-2) :503-513

[7] Non-Markovian Brownian dynamics and nonergodicity -: art. no. 061107 [J].

Bao, JD ;

Hänggi, P ;

Zhuo, YZ .

PHYSICAL REVIEW E, 2005, 72 (06)

[8] STABILITY AND CONTROL OF STOCHASTIC-SYSTEMS WITH WIDEBAND NOISE DISTURBANCES .1. [J].

BLANKENSHIP, G ;

PAPANICOLAOU, GC .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (03) :437-476

[9] NON-LINEAR FLUCTUATION-DISSIPATION RELATIONS AND STOCHASTIC-MODELS IN NON-EQUILIBRIUM THERMODYNAMICS .1. GENERALIZED FLUCTUATION-DISSIPATION THEOREM [J].

BOCHKOV, GN ;

KUZOVLEV, YE .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1981, 106 (03) :443-479

[10] ENERGETIC STABILITY OF HARMONIC OSCILLATOR WITH RANDOM PARAMETRIC DRIVING [J].

BOURRET, R .

PHYSICA, 1971, 54 (04) :623-&

← 1 2 3 4 5 6 →