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.
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页码：359 / 376
页数：17
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