The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions

Marco Cicalese, Yuko Nagase, Giovanni Pisante

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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
Issue number3
StatePublished - Jul 2010
Externally publishedYes


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


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