Dual fronts in a phase field model

Karl B Glasner, Robert Almgren

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

Phase Field Model
Thermal diffusivity
Periodic structures
Interchanges
Precursor
Thermal Diffusivity
Wave Speed
Periodic Structures
thermal diffusivity
Reaction-diffusion System
Decay
expansion
decay

Keywords

  • Dual front
  • Intermediate phase
  • Reaction-diffusion system

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Dual fronts in a phase field model. / Glasner, Karl B; Almgren, Robert.

In: Physica D: Nonlinear Phenomena, Vol. 146, No. 1-4, 15.11.2000, p. 328-340.

Research output: Contribution to journalArticle

Glasner, Karl B ; Almgren, Robert. / Dual fronts in a phase field model. In: Physica D: Nonlinear Phenomena. 2000 ; Vol. 146, No. 1-4. pp. 328-340.
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