Inserted: 8 mar 2010
Last Updated: 20 dec 2010
Journal: Advances in Calculus of Variations
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.
Keywords: Finsler metrics, Anisotropic phase transitions, Gibbs-Thomson relation