| Issue |
Europhys. Lett.
Volume 66, Number 6, June 2004
|
|
|---|---|---|
| Page(s) | 902 - 908 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2004-10062-4 | |
| Published online | 01 June 2004 | |
Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions
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:
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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