Random walk model with waiting times depending on the preceding jump length

Zaburdaev V (2006)

Publication Type: Journal article

Publication year: 2006

Journal

Journal of Statistical Physics Springer Verlag (Germany)

Book Volume: 123

Pages Range: 871-881

Journal Issue: 4

DOI: 10.1007/s10955-006-9104-0

Abstract

In the present paper, the generalized continuous time random walk model with a coupled transition kernel is considered. The coupling occurs through the dependence of the waiting time probability distribution on the preceding jump length. For the description of this model, a method is suggested that includes the details of the microscopic distribution over the waiting times and arrival distances at a given point. A close analogy to the problem of a random walk with finite velocity is demonstrated for the particular case of coupling, when a waiting time is a simple function of a preceding jump length. With its help an analytical solution for the generalized random walk model is found, including both effects (finite velocity and jump dependent waiting times) simultaneously. © 2006 Springer Science+Business Media, Inc.

Involved external institutions

Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems DE Germany (DE)

How to cite

APA:

Zaburdaev, V. (2006). Random walk model with waiting times depending on the preceding jump length. Journal of Statistical Physics, 123(4), 871-881. https://doi.org/10.1007/s10955-006-9104-0

MLA:

Zaburdaev, Vasily. "Random walk model with waiting times depending on the preceding jump length." Journal of Statistical Physics 123.4 (2006): 871-881.

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