Europhys. Lett.
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
Europhys. Lett., 66 (6) , pp. 902-908 (2004)
DOI: 10.1209/epl/i2004-10062-4

Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

V. Méndez1, D. Campos2 and J. Fort3

1  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

(Received 5 February 2004; accepted in final form 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.

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