Wetting of gradient fields: pathwise estimates

Details Wetting of gradient fields: pathwise estimates Wetting of gradient fields: pathwise estimates

2007-06-12

arxiv.org/abs/0706.1632v4

Probab. Theory Related Fields, Vol. 143, Nr. 3-4 (2009) , p. 379--399

Mathematics

Probability

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

Scientific paper

10.1007/s00440-007-0130-x

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.

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