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Document type:
Zeitschriftenaufsatz 
Author(s):
Cotar, C. and Deuschel, J.-D. 
Title:
Decay of covariances, uniqueness of ergodic component and scaling limit for a class of ∇ϕ systems with non-convex potential 
Abstract:
We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for ∇ϕ-Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension. 
Keywords:
Effective non-convex gradient interface models; Uniqueness of ergodic component; Decay of covariances; Scaling limit; Surface tension 
Journal title:
Annales de l'Institut Henri Poincaré 
Year:
2012 
Journal volume:
48 
Journal issue:
Pages contribution:
819-853 
Reviewed:
ja 
Language:
en 
Fulltext / DOI:
Status:
Verlagsversion / published 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text