The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions

Marco Cicalese, Yuko Nagase, Giovanni Pisante

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper we prove the Gibbs-Thomson relation between the coarse grained chemical potential and the non homogeneous and anisotropic mean curvature of a phase interface within the gradient theory of phase transitions thus proving a generalization of a conjecture stated by Gurtin and proved by Luckhaus and Modica in the homogeneous and isotropic case.

Original languageEnglish
Pages (from-to)321-344
Number of pages24
JournalAdvances in Calculus of Variations
Volume3
Issue number3
DOIs
StatePublished - Jul 2010
Externally publishedYes

Keywords

  • Anisotropic phase transition
  • Finsler metrics
  • Gibbs-Thomson relation for surface tension

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