A note on wetting transition for gradient fields

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:87

Article

Caputo, P ; Velenik, Y

关键词: gradient models;    entropic repulsion;    pinning;    wetting transition;   

DOI  :  10.1016/S0304-4149(99)00113-1

来源: Elsevier

【 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.

【 授权许可】

Free