Depinning transitions in discrete reaction-diffusion equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized at the depinning transition and an approximation for the front speed just beyond threshold is given.
27 pages, 12 figures, to appear in SIAM J. Appl. Math

Keywords

Materials Science, Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/19814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0208405
 http://arxiv.org/abs/cond-mat/0208405
 SIAM J. Appl. Math. 63, 1056-1082 (2003)

Collections

arXiv