MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Strict convexity of the free energy for non-convex gradient models at moderate $\beta$

Codina Cotar, Jean-Dominique Deuschel and Stefan Müller


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.

MSC Codes:
60K35, 82B24, 35J15
effective non-convex gradient interface models, surface tension, strict convexity, Helffer-Sjöstrand representation

Related publications

2009 Journal Open Access
Codina Cotar, Jean-Dominique Deuschel and Stefan Müller

Strict convexity of the free energy for a class of non-convex gradient models

In: Communications in mathematical physics, 286 (2009) 1, pp. 359-376