Mathematical aspects of wetting
Meeting Room 3, CMS
Wetting phenomena, as other aspects of the coexistence of phases, can be modeled, from a microscopic point of view, by a lattice gas, like the Ising model, or an interface model. In the first part of the talk, I describe some basic facts and results of the theory, many of which have been obtained with the help of correlation inequalities. In a second part of the talk, I present some recent results of a joint work with K. Alexander and F. Dunlop, that concern an interface model. This system presents a sequence of layering transitions, whose levels increase with the temperature, and complete wetting above a certain value of this quantity.