Wetting of gradient fields: pathwise estimates
Probability
2011-08-25 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0706.1632,
title = {Wetting of gradient fields: pathwise estimates},
author = {Yvan Velenik},
journal= {arXiv preprint arXiv:0706.1632},
year = {2011}
}