Depinning transitions in discrete reaction-diffusion equations

dc.creatorCarpio, A.
dc.creatorBonilla, L. L.
dc.date2002-08-21
dc.date.accessioned2026-07-07T02:46:55Z
dc.date.available2026-07-07T02:46:55Z
dc.descriptionWe 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.
dc.description27 pages, 12 figures, to appear in SIAM J. Appl. Math
dc.identifierhttps://arxiv.org/abs/cond-mat/0208405
dc.identifierhttp://arxiv.org/abs/cond-mat/0208405
dc.identifierSIAM J. Appl. Math. 63, 1056-1082 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19814
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleDepinning transitions in discrete reaction-diffusion equations
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