Generalization of the persistent random walk to dimensions greater than 1


Autoria(s): Boguñá, Marián; Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-
Contribuinte(s)

Universitat de Barcelona

Data(s)

26/07/2011

Resumo

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.

Identificador

http://hdl.handle.net/2445/18900

Idioma(s)

eng

Publicador

he American Physical Society

Direitos

(c) American Physical Society, 1998

Palavras-Chave #Física estadística #Termodinàmica #Sistemes no lineals #Matèria condensada #Statistical physics #Thermodynamics #Nonlinear systems #Condensed matter
Tipo

info:eu-repo/semantics/article