Two-dimensional wetting transition in a corrugated potential

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Abstract
A simple model for the wetting or depinning transition of a two-dimensional solid-on-solid (SOS) interface in a short-range periodic pinning potential which alternates between attraction and infinite repulsion is analysed exactly. The interface is specified by transverse displacement variables which vary continuously in the interval , and the stretching energy is proportional to . Both the semi-infinite and infinite geometries , are considered. For the most part the wetting transition in the continuum model is similar to the transition in restricted SOS models with corrugated potentials, in which the are restricted to integers and to , but there are some qualitative differences in the phase diagrams involving re-entrant behaviour.