Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice

TL;DR

This paper investigates the properties of interfaces in the 3D Ising model, including surface tension, stiffness, and width, across various temperatures and large lattice sizes, providing detailed numerical insights.

Contribution

The study provides comprehensive numerical calculations of interface properties in the 3D Ising model over a wide temperature range and large lattice sizes, including universal quantities.

Findings

Computed interface tension sigma across temperatures.

Determined surface stiffness coefficient kappa.

Analyzed interfacial width on large lattices.

Abstract

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures and for interface extensions up to 64 by 64. The interface tension sigma is obtained by integrating the surface energy density over the inverse temperature beta. The surface stiffness coefficient kappa is determined. We also study universal quantities like xi^2 sigma and xi^2 kappa. The behavior of the interfacial width on lattices up to 512 times 512 times 27 is also investigated.