Anisotropy of the interface tension of the three-dimensional Ising model

TL;DR

This paper introduces a novel simulation approach combining multimagnetic algorithms with parallel tempering to accurately measure the anisotropic interface tension in the 3D Ising model across various temperatures.

Contribution

It presents a new simulation method to determine interface tension anisotropy in the 3D Ising model, overcoming previous barriers like droplet transitions.

Findings

Measured interface tension for 100, 110, 111 interfaces.

Analyzed temperature dependence of anisotropy.

Demonstrated effectiveness of combined simulation techniques.

Abstract

We determine the interface tension for the 100, 110 and 111 interface of the simple cubic Ising model with nearest-neighbour interaction using novel simulation methods. To overcome the droplet/strip transition and the droplet nucleation barrier we use a newly developed combination of the multimagnetic algorithm with the parallel tempering method. We investigate a large range of inverse temperatures to study the anisotropy of the interface tension in detail.