Physics – Mathematical Physics
Scientific paper
2008-01-08
Physics
Mathematical Physics
17 pages, 2 figures
Scientific paper
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, where the strict convexity of potential was crucial in their proof that for every tilt there is a unique, shift invariant, ergodic Gibbs measure for the $\nabla\phi$ field.
Cotar Codina
Deuschel Jean-Dominique
Müller Stefan
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