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


Carpio Rodríguez, Ana María and Bonilla , L.L. (2001) Wave Front Depinning Transition in Discrete One-Dimensional Reaction-Diffusion Systems. Physical Review Letters, 86 (26). ISSN 0031-9007

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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.

Item Type:Article
Uncontrolled Keywords:Charge-density waves; Propagation; Superlattices; Existence; Dynamics; Equation; Failure; Models; Cells
Subjects:Sciences > Physics > Mathematical physics
ID Code:15061

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