Zero-one-only process: A correlated random walk with a stochastic ratchet

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The investigation of random walks is central to a variety of stochastic processes in physics, chemistry and biology. To describe a transport phenomenon, we study a variant of the one-dimensional persistent random walk, which we call a zero-one-only process. It makes a step in the same direction as the previous step with probability p, and stops to change the direction with 1 - p. By using the generating-function method, we calculate its characteristic quantities such as the statistical moments and probability of the first return.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2014-11
Language
English
Article Type
Article
Keywords

TELEGRAPHERS EQUATION

Citation

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, v.28, no.29

ISSN
0217-9792
DOI
10.1142/S0217979214502014
URI
http://hdl.handle.net/10203/195154
Appears in Collection
PH-Journal Papers(저널논문)
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