A numerical method for determining the interface free energy
Abstract
We propose a general method (based on the Wang-Landau algorithm) to compute numerically free energies that are obtained from the logarithm of the ratio of suitable partition functions. As an application, we determine with high accuracy the order-order interface tension of the four-state Potts model in three dimensions on cubic lattices of linear extension up to L=56. The infinite volume interface tension is then extracted at each beta from a fit of the finite volume interface tension to a known universal behavior. A comparison of the order-order and order-disorder interface tension at the critical value of beta provides a clear numerical evidence of perfect wetting.
Keywords
Cite
@article{arxiv.1107.1637,
title = {A numerical method for determining the interface free energy},
author = {A. Hietanen and B. Lucini},
journal= {arXiv preprint arXiv:1107.1637},
year = {2011}
}
Comments
5 pages, 7 figures. Added section on convergence of the algorithm, some clarifications and extra references. Version published on Phys. Rev. E