The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions

被引：7

作者：

Cicalese, Marco ^{[1
]}

Nagase, Yuko ^{[1
]}

Pisante, Giovanni ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, I-80126 Naples, Italy

[2] Seconda Univ Napoli, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2010年 / 3卷 / 03期

基金：

欧洲研究理事会;

关键词：

Anisotropic phase transition; Gibbs-Thomson relation for surface tension; Finsler metrics; GRADIENT THEORY; VARIATIONAL-PROBLEMS; MEAN-CURVATURE; SURFACES; REGULARITY; VECTOR; MODELS;

D O I：

10.1515/ACV.2010.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：321 / 344

页数：24

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