Fractional Fokker-Planck Equations for Subdiffusion with Space- and Time-Dependent Forces

被引：107

作者：

Henry, B. I. ^{[1
]}

Langlands, T. A. M. ^{[2
]}

Straka, P.

机构：

[1] Univ New S Wales, Dept Appl Math, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Univ So Queensland, Dept Math & Comp, Toowoomba, Qld 4350, Australia

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 17期

基金：

澳大利亚研究理事会;

关键词：

RANDOM-WALKS; ANOMALOUS DIFFUSION;

D O I：

10.1103/PhysRevLett.105.170602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a fractional Fokker-Planck equation for subdiffusion in a general space- and time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights. The governing equation is derived from a generalized master equation and is shown to be equivalent to a subordinated stochastic Langevin equation.

引用

页数：4

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