Front dynamics in the presence of spatiotemporal structured noises - art. no. 016129

Citation
Ma. Santos et Jm. Sancho, Front dynamics in the presence of spatiotemporal structured noises - art. no. 016129, PHYS REV E, 6401(1), 2001, pp. 6129
Citations number
26
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6401
Issue
1
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200107)6401:1<6129:FDITPO>2.0.ZU;2-Y
Abstract
Front dynamics modeled by a reaction-diffusion equation are studied under t he influence of spatiotemporal structured noises. An effective deterministi c model is analytical derived where the noise parameters, intensity, correl ation time, and correlation length appear explicitly. The different effects of these parameters are discussed for the Ginzburg-Landau and Schlogl mode ls. We obtain an analytical expression for the front velocity as a function of the noise parameters. Numerical simulation results are in a good agreem ent with the theoretical predictions.