Entropy as a measure of diffusion

被引：2

作者：

Aghamohammadi, Amir ^{[1
]}

Fatollahi, Amir H. ^{[1
]}

Khorrami, Mohammad ^{[1
]}

Shariati, Ahmad ^{[1
]}

机构：

[1] Alzahra Univ, Dept Phys, Tehran 1993893973, Iran

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 28-30期

关键词：

Diffusion equation; Anomalous diffusion; Fractional derivative; ANOMALOUS DIFFUSION;

D O I：

10.1016/j.physleta.2013.05.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The time variation of entropy, as an alternative to the variance, is proposed as a measure of the diffusion rate. It is shown that for linear and time-translationally invariant systems having a large-time limit for the density, at large times the entropy tends exponentially to a constant. For systems with no stationary density, at large times the entropy is logarithmic with a coefficient specifying the speed of the diffusion. As an example, the large-time behaviors of the entropy and the variance are compared for various types of fractional-derivative diffusions. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：1677 / 1681

页数：5

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