A numerical method for determining the interface free energy

Details A numerical method for determining the interface free energy A numerical method for determining the interface free energy

2011-07-08

arxiv.org/abs/1107.1637v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures. Added section on convergence of the algorithm, some clarifications and extra references. Version published

Scientific paper

10.1103/PhysRevE.84.056702

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.

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