Fractional Langevin equations of distributed order

被引：74

作者：

Eab, C. H. ^{[1
]}

Lim, S. C. ^{[2
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Chem, Bangkok 10330, Thailand

[2] Multimedia Univ Malaysia, Fac Engn, Cyberjaya 63100, Selangor, Malaysia

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 03期

关键词：

ANOMALOUS DIFFUSION; RANDOM-WALK; VARIABLE ORDER; DISCRETE; MODELS;

D O I：

10.1103/PhysRevE.83.031136

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：

Distributed-order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent. It is shown that these fractional Langevin equations of distributed order can be used to model the kinetics of retarding subdiffusion whose scaling exponent decreases with time and the strongly anomalous ultraslow diffusion with mean square displacement which varies asymptotically as a power of logarithm of time.

引用

页数：10

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