Dual Fronts Propagating into an Unstable State

Details Dual Fronts Propagating into an Unstable State Dual Fronts Propagating into an Unstable State

1993-11-26

arxiv.org/abs/patt-sol/9311007v1

Nonlinear Sciences

Pattern Formation and Solitons

19 pages, Postscript, A4

Scientific paper

10.1088/0951-7715/7/4/011

The interface between an unstable state and a stable state usually develops a single confined front travelling with constant velocity into the unstable state. Recently, the splitting of such an interface into {\em two} fronts propagating with {\em different} velocities was observed numerically in a magnetic system. The intermediate state is unstable and grows linearly in time. We first establish rigorously the existence of this phenomenon, called ``dual front,'' for a class of structurally unstable one-component models. Then we use this insight to explain dual fronts for a generic two-component reaction-diffusion system, and for the magnetic system.

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