Strict convexity of the free energy for non - convex gradient models at moderate β
نویسنده
چکیده
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. AMS 2000 Subject Classification. 60K35, 82B24, 35J15
منابع مشابه
für Mathematik in den Naturwissenschaften Leipzig Strict convexity of the free energy for non - convex
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. AMS 2000 Subject Cla...
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