English

Dual Fronts Propagating into an Unstable State

patt-sol 2009-10-22 v1 Pattern Formation and Solitons

Abstract

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.

Keywords

Cite

@article{arxiv.patt-sol/9311007,
  title  = {Dual Fronts Propagating into an Unstable State},
  author = {F. J. Elmer and J. -P. Eckmann and G. Hartsleben},
  journal= {arXiv preprint arXiv:patt-sol/9311007},
  year   = {2009}
}

Comments

19 pages, Postscript, A4

R2 v1 2026-07-22T18:47:21.122Z