Transient superdiffusion in random walks with a q-exponentially decaying memory profile

被引：7

作者：

Moura, Thiago R. S. ^{[1
]}

Viswanathan, G. M. ^{[1
,3
]}

da Silva, M. A. A. ^{[2
]}

Cressoni, J. C. ^{[2
]}

da Silva, L. R. ^{[1
,3
]}

机构：

[1] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59078900 Natal, RN, Brazil

[2] Univ Sao Paulo, FCFRP, Dept Fis & Quim, BR-14040903 Ribeirao Preto, SP, Brazil

[3] Univ Fed Rio Grande do Norte, Natl Inst Sci & Technol Complex Syst, BR-59078900 Natal, RN, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 453卷

基金：

巴西圣保罗研究基金会;

关键词：

Random walk; Anomalous diffusion; q-exponential function; Non-Markovian; HURST EXPONENT; PHOTORECEPTORS; SOLIDS;

D O I：

10.1016/j.physa.2016.02.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a random walk model with q-exponentially decaying memory profile. The q-exponential function is a generalization of the ordinary exponential function. In the limit q -> 1, the q-exponential becomes the ordinary exponential function. This model presents a Markovian diffusive regime that is characterized by finite memory correlations. It is well known, that central limit theorems prohibit superdiffusion for Markovian walks with finite variance of step sizes. In this problem we report the outcome of a transient superdiffusion for finite sized walks. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：259 / 263

页数：5

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