Propagation failure of traveling waves in a discrete bistable medium

被引:101
作者
Fath, G [1 ]
机构
[1] Univ Lausanne, Inst Theoret Phys, CH-1015 Lausanne, Switzerland
关键词
propagation failure; pinning transition; traveling waves; wave speed scaling;
D O I
10.1016/S0167-2789(97)00251-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Propagation failure (pinning) of traveling waves is studied in a discrete scalar reaction-diffusion equation with a piecewise linear, bistable reaction function. The critical points of the pinning transition. and the wavefront profile at the onset of propagation an calculated exactly. The scaling of the wave speed near the transition, and the leading corrections to the front shape are also determined. We find that the speed vanishes logarithmically close to the critical point, thus the model belongs to a different universality class than the standard Nagumo model, defined with a smooth, polynomial reaction function. Copyright (C) 1998 Elsevier Science B.V.
引用
收藏
页码:176 / 190
页数:15
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