A Note on Wetting Transition for Gradient Fields
概率论
2011-08-25 v1 统计力学
数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/9909057,
title = {A Note on Wetting Transition for Gradient Fields},
author = {Pietro Caputo and Yvan Velenik},
journal= {arXiv preprint arXiv:math/9909057},
year = {2011}
}
备注
6 pages, latex2e