Volume 66, Number 6, June 2004
|Page(s)||902 - 908|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 June 2004|
Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions
Departament de Medicina, Facultat de Ciències de la Salut Universitat Internacional de Catalunya - c./Josep Trueta s/n E-08190 Sant Cugat del Vallès, Barcelona, Spain
2 Grup de Física Estadística, Departament de Física Universitat Autònoma de Barcelona - E-08193 Bellaterra, Barcelona, Spain
3 Departament de Física, Universitat de Girona Campus Montilivi, E-17071 Girona, Spain
Accepted: 19 April 2004
The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.
PACS: 87.10.+e – General theory and mathematical aspects / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.Cd – Classical transport
© EDP Sciences, 2004
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