Strict Convexity of the Free Energy for a Class of Non-Convex Gradient Models

被引：0

作者：

Codina Cotar

Jean-Dominique Deuschel

Stefan Müller

机构：

[1] Lehrstuhl für Mathematische Statistik,TU München Zentrum Mathematik

[2] Institut für Mathematik,TU Berlin Fakultät II

[3] Max Planck Institute for Mathematics in the Sciences,undefined

来源：

Communications in Mathematical Physics | 2009年 / 286卷

关键词：

Free Energy; Surface Tension; Partition Function; Large Deviation Principle; Strict Convexity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict convexity of the surface tension at high temperature. This is an extension of Funaki and Spohn’s result [8], where the strict convexity of potential was crucial in their proof.

引用

页码：359 / 376

页数：17

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