Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \nablaφsystems with non-convex potential

Details Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \nablaφsystems with non-convex potential Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \nablaφsystems with non-convex potential

2008-07-16

arxiv.org/abs/0807.2621v4

Mathematics

Probability

41 pages, 5 figures

Scientific paper

We consider a gradient interface model on the lattice with interaction potential which is a nonconvex perturbation of a convex potential. Using a technique which decouples the neighboring vertices sites into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for \nabla\phi-Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.

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