Direct Monte Carlo Measurement of the Surface Tension in Ising Models

TL;DR

This paper introduces a cluster Monte Carlo method that directly measures surface tension in Ising models by comparing configurations with different boundary conditions, providing a new computational approach.

Contribution

A novel cluster Monte Carlo algorithm that directly computes interface free energy in Ising models through boundary condition comparisons.

Findings

Successfully tested on 3D Ising model

Accurately measures interface tension

Efficiently updates joint ensemble

Abstract

I present a cluster Monte Carlo algorithm that gives direct access to the interface free energy of Ising models. The basic idea is to simulate an ensemble that consists of both configurations with periodic and with antiperiodic boundary conditions. A cluster algorithm is provided that efficently updates this joint ensemble. The interface tension is obtained from the ratio of configurations with periodic and antiperiodic boundary conditions, respectively. The method is tested for the 3-dimensional Ising model.