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

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

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2001

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American Physical Society
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https://hdl.handle.net/20.500.14352/57214

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Carpio Rodríguez, A. M. y Bonilla, L. L. «Wave Front Depinning Transition in Discrete One-Dimensional Reaction-Diffusion Systems». Physical Review Letters, vol. 86, n.o 26, junio de 2001, pp. 6034-37. DOI.org (Crossref), https://doi.org/10.1103/PhysRevLett.86.6034.

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.

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