Asymmetric random walks and drift-diffusion

被引：2
|
作者：
Holmes, M. [1 ]
机构：
[1] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA
来源：
EPL | 2013年 / 102卷 / 03期
关键词：
D O I：
10.1209/0295-5075/102/30005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
To obtain the drift-diffusion equation from an asymmetric random walk it has been required that the left and right jump probabilities are approximately equal. It is shown here that such a restriction is not needed. Using multiple scales the equation is derived, where the scales are based on the advection and diffusion scales. Copyright (C) EPLA, 2013
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页数：4
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