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- Title:
Decay of covariances, uniqueness of ergodic component and scaling limit for a class of ∇ϕ systems with non-convex potential
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- Cotar, C. and Deuschel, J.-D.
- 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:
- 3
- Pages contribution:
- 819-853
- Reviewed:
- ja
- Language:
- en
- Fulltext / DOI:
- doi:10.1214/11-AIHP437
- Status:
- Verlagsversion / published
- TUM Institution:
- Lehrstuhl für Mathematische Statistik
- Format:
- Text
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