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

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dc.creatorCotar, Codina
dc.creatorDeuschel, Jean-Dominique
dc.creatorMüller, Stefan
dc.date2008-01-08
dc.date.accessioned2026-07-07T08:53:20Z
dc.date.available2026-07-07T08:53:20Z
dc.descriptionWe 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 $\nablaϕ$ field.
dc.description17 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0801.1308
dc.identifierhttp://arxiv.org/abs/0801.1308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145586
dc.subjectMathematical Physics
dc.subject60K35; 82B24; 35J15
dc.titleStrict convexity of the free energy for non-convex gradient models at moderate $β$
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