An exact solution for two dimensional wetting with a corrugated wall

TL;DR

This paper presents an exact analytical solution for a two-dimensional wetting model with a corrugated wall, revealing a second-order transition at a lower temperature than in flat systems, contrasting mean-field predictions.

Contribution

It provides the first exact solution for 2D wetting with a corrugated wall, clarifying the nature of the transition beyond mean-field approximations.

Findings

Wetting transition remains second-order with corrugation.

Transition occurs at a lower temperature than in planar systems.

Results agree with numerical and other analytical methods.

Abstract

An exact solution of a two dimensional RSOS model of wetting at a corrugated (periodic) wall is found using transfer matrix techniques. In contrast to mean-field analysis of the same problem the wetting transition remains second-order and occurs at a lower temperature than that of the planar system. Comparison with numerical studies and other analytical approaches is made.