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Scientific article
Open access
English

A note on wetting transition for gradient fields

Published inStochastic processes and their applications, vol. 87, no. 1, p. 107-113
Publication date2000
Abstract

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.

Keywords
  • Gradient models
  • entropic repulsion
  • pinning
  • wetting transition
Affiliation Not a UNIGE publication
Citation (ISO format)
CAPUTO, P., VELENIK, Yvan. A note on wetting transition for gradient fields. In: Stochastic processes and their applications, 2000, vol. 87, n° 1, p. 107–113. doi: 10.1016/S0304-4149(99)00113-1
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Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal0304-4149
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