Microscopic dynamics of the nonlinear Fokker-Planck equation: A phenomenological model

被引：292

作者：

Borland, L ^{[1
]}

机构：

[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.57.6634

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：

We derive a phenomenological model of the underlying microscopic Langevin equation of the nonlinear Fokker-Planck equation, which is used to describe anomalous correlated diffusion. The resulting distribution-dependent stochastic equation is then analyzed and properties such as long-time scaling and the Hurst exponent are calculated both analytically and from simulations. Results of this microscopic theory are compared with those of fractional Brownian motion.

引用

页码：6634 / 6642

页数：9

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