A note on wetting transition for gradient fields

被引：21

作者：

Caputo, P ^{[1
]}

Velenik, Y ^{[1
]}

机构：

[1] TU Berlin, Fachbereich Math, D-10623 Berlin, Germany

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2000年 / 87卷 / 01期

关键词：

gradient models; entropic repulsion; pinning; wetting transition;

D O I：

10.1016/S0304-4149(99)00113-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove existence of a wetting transition for two classes of gradient fields which include: (1) The Continuous SOS model in any dimension and (2) The massless Gaussian model in dimension 2. Combined with a recent result proving the absence of such a transition for Gaussian models above 2 dimensions (Bolthausen et al., 2000. J. Math. Phys. to appear), this shows in particular that absolute-value and quadratic interactions can give rise to completely different behavior. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：107 / 113

页数：7

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