| Issue |
EPL
Volume 102, Number 3, May 2013
|
|
|---|---|---|
| Article Number | 30005 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/102/30005 | |
| Published online | 15 May 2013 | |
Asymmetric random walks and drift-diffusion
Department of Mathematical Sciences, Rensselaer Polytechnic Institute - Troy, NY 12180-3590, USA
Received: 30 November 2012
Accepted: 19 April 2013
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.
PACS: 05.40.Fb – Random walks and Levy flights / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 02.30.Mv – Approximations and expansions
© EPLA, 2013
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