Dual fronts in a phase field model

Karl Glasner, Robert Almgren

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We study a dual front behavior observed in a reaction-diffusion system arising initially in the context of phase field models. A precursor front propagates into a stable phase, generating a metastable "intermediate phase". This intermediate phase then decays via an oscillating front, producing a periodic structure which later coarsens. Unlike previously studied models in which dual fronts appear, the appearance of the split front is controlled not by an interchange of wave speeds, but by the existence of the precursor wave. By means of an expansion in small thermal diffusivity, we argue that this behavior is generic.

Original languageEnglish (US)
Pages (from-to)328-340
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume146
Issue number1-4
DOIs
StatePublished - Nov 15 2000
Externally publishedYes

Keywords

  • Dual front
  • Intermediate phase
  • Reaction-diffusion system

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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