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Generalization of the persistent random walk to dimensions greater than 1
Boguñá, Marián; Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-
Universitat de Barcelona
We propose a generalization of the persistent random walk for dimensions greater than 1. Based on a cubic lattice, the model is suitable for an arbitrary dimension d. We study the continuum limit and obtain the equation satisfied by the probability density function for the position of the random walker. An exact solution is obtained for the projected motion along an axis. This solution, which is written in terms of the free-space solution of the one-dimensional telegraphers equation, may open a new way to address the problem of light propagation through thin slabs.
26-07-2011
Física estadística
Termodinàmica
Sistemes no lineals
Matèria condensada
Statistical physics
Thermodynamics
Nonlinear systems
Condensed matter
(c) American Physical Society, 1998
Artículo
he American Physical Society
         

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