A Note on Wetting Transition for Gradient Fields
classification
🧮 math.PR
cond-mat.stat-mechmath-phmath.MP
keywords
transitiondimensionsfieldsgaussiangradientmodelswettingabove
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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.
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