Interface tension of the 3d 4-state Potts model using the Wang-Landau algorithm

TL;DR

This paper employs the Wang-Landau algorithm to accurately compute the interface tension of the 3D 4-state Potts model across all temperatures, providing evidence for perfect wetting and validating the method at the phase transition.

Contribution

It introduces a novel application of the Wang-Landau algorithm to calculate interface tension in the 3D 4-state Potts model, enabling explicit computation of partition functions at all temperatures.

Findings

Numerical evidence for perfect wetting in the model.

Successful calculation of thermodynamic quantities at the phase transition.

Validation of the Wang-Landau algorithm for interface tension measurement.

Abstract

We study the interface tension of the 4-state Potts model in three dimensions using the Wang- Landau algorithm. The interface tension is given by the ratio of the partition function with a twisted boundary condition in one direction and periodic boundary conditions in all other directions over the partition function with periodic boundary conditions in all directions. With the Wang-Landau algorithm we can explicitly calculate both partition functions and obtain the result for all temperatures. We find solid numerical evidence for perfect wetting. Our algorithm is tested by calculating thermodynamic quantities at the phase transition point.