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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.
Keywords.: Anisotropic phase transition; Gibbs–Thomson relation for surface tension; Finsler metrics
Received: 2009-07-30
Revised: 2010-02-26
Accepted: 2010-02-02
Published Online: 2010-05-07
Published in Print: 2010-July
© de Gruyter 2010
