Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures

被引：7
|
作者：
Ettoumi, W. [1 ,2 ]
Firpo, M-C. [2 ]
机构：
[1] Ecole Normale Super, F-94235 Cachan, France
[2] Ecole Polytech, CNRS, Lab Phys Plasmas, F-91128 Palaiseau, France
来源：
PHYSICAL REVIEW E | 2011年 / 84卷 / 03期
关键词：
STATISTICAL-MECHANICS; RANGE; DYNAMICS; STATES; MODEL;
D O I：
10.1103/PhysRevE.84.030103
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A stochastic treatment yielding to the derivation of a general Fokker-Planck equation is presented to model the slow convergence toward equilibrium of mean-field systems due to finite-N effects. The thermalization process involves notably the disintegration of coherent structures that may sustain out-of-equilibrium quasistationary states. The time evolution of the fraction of particles remaining close to a mean-field potential trough is analytically computed. This indicator enables to estimate the lifetime of coherent structures and thermalization time scale in mean-field systems.
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页数：4
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