Wave Front Depinning Transition in Discrete One-Dimensional Reaction-Diffusion Systems

A. Carpio and L. L. Bonilla
Phys. Rev. Lett. 86, 6034 – Published 25 June 2001
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Abstract

Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with nearest-neighbor coupling and controlled by constant external forces. A theory of the depinning transition for these systems, including scaling laws and asymptotics of wave fronts, is presented and confirmed by numerical calculations.

  • Received 28 March 2001

DOI:https://doi.org/10.1103/PhysRevLett.86.6034

©2001 American Physical Society

Authors & Affiliations

A. Carpio1 and L. L. Bonilla2

  • 1Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain
  • 2Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain

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Issue

Vol. 86, Iss. 26 — 25 June 2001

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