Wetting of gradient fields: pathwise estimates

Abstract

We consider the wetting transition in the framework of an effective interface model of gradient type, in dimension 2 and higher. We prove pathwise estimates showing that the interface is localized in the whole thermodynamically-defined partial wetting regime considered in earlier works. Moreover, we study how the interface delocalizes as the wetting transition is approached. Our main tool is reflection positivity in the form of the chessboard estimate.

Some typos removed after proofreading. Version to be published in PTRF

References in corpus (4)

• Localization and delocalization of random interfaces
• Critical behavior of the massless free field at the depinning transition
• Universality of Critical Behaviour in a Class of Recurrent Random Walks
• Entropic repulsion of an interface in an external field

Cited by in corpus (1)

• Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger