A Note on Wetting Transition for Gradient Fields
arXiv:math/9909057 · doi:10.1016/S0304-4149(99)00113-1
Abstract
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.
6 pages, latex2e