Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems

Details Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems Wavefront depinning transition in discrete one-dimensional reaction-diffusion systems

2002-01-17

arxiv.org/abs/cond-mat/0201317v1

Phys. Rev. Lett. 86, 6034 (2001)

Physics

Condensed Matter

Materials Science

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.86.6034

Pinning and depinning of wavefronts 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 wavefronts, is presented and confirmed by numerical calculations.

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