Two Parameters for Three Dimensional Wetting Transitions

TL;DR

This paper introduces a new theoretical model for three-dimensional wetting transitions, emphasizing a novel wetting parameter that influences critical behavior and clarifies previous simulation discrepancies.

Contribution

It develops a coupled effective Hamiltonian with an innovative variational principle and identifies a key wetting parameter affecting critical phenomena.

Findings

Identification of a new wetting parameter (T) influencing critical properties

Re-examination of Monte-Carlo simulation controversies using the new model

Enhanced understanding of critical effects in three-dimensional wetting transitions

Abstract

Critical effects at complete and critical wetting in three dimensions are studied using a coupled effective Hamiltonian H[s(y),\ell]. The model is constructed via a novel variational principle which ensures that the choice of collective coordinate s(y) near the wall is optimal. We highlight the importance of a new wetting parameter \Omega(T) which has a strong influence on critical properties and allows the status of long-standing Monte-Carlo simulation controversies to be re-examined.