A Note on Wetting Transition for Gradient Fields

Details A Note on Wetting Transition for Gradient Fields A Note on Wetting Transition for Gradient Fields

1999-09-10

arxiv.org/abs/math/9909057v1

Stochastic Process. Appl., Vol. 87, Nr. 1 (2000) , p. 107--113

Mathematics

Probability

6 pages, latex2e

Scientific paper

10.1016/S0304-4149(99)00113-1

We prove existence of a wetting transition for two types of gradient fields: 1) Continuous SOS models in any dimension and 2) Massless Gaussian model in two dimensions. Combined with a recent result showing the absence of such a transition for Gaussian models above two dimensions by Bolthausen et al, this shows in particular that absolute-value and quadratic interactions can give rise to completely different behaviors.

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