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Strict convexity of the free energy for non-convex gradient models at moderate
Codina Cotar, Jean-Dominique Deuschel and Stefan Müller
Abstract
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 [10], where the strict convexity of potential was crucial in their proof.
- Received:
- 09.01.08
- Published:
- 09.01.08
- MSC Codes:
- 60K35, 82B24, 35J15
- Keywords:
- effective non-convex gradient interface models, surface tension, strict convexity, Helffer-Sjöstrand representation