Averaged run-and-tumble walks

被引：32

作者：

Angelani, L. ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Fis, UOS Roma, CNR IPCF, I-00185 Rome, Italy

来源：

EPL | 2013年 / 102卷 / 02期

关键词：

ANOMALOUS DIFFUSION; TRANSPORT; DYNAMICS;

D O I：

10.1209/0295-5075/102/20004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A random walk consisting of a run phase at constant speed interrupted by tumble events is analyzed and analytically solved for arbitrary time distributions. A general expression is given for the Laplace-Fourier transform of the probability density function and for the mean square displacement averaging over initial conditions. Run-and-tumble bacteria and Levy walks are considered as particular cases. The effects of an underlying Brownian noise are also discussed. Derived expressions can be used for a direct comparison with experimentally measured quantities. Copyright (C) EPLA, 2013

引用

页数：5

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