Averaged run-and-tumble walks

被引：30
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
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页数：5
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