Specific heat of the simple-cubic Ising model

TL;DR

This paper presents a quantitative expression for the specific heat of the simple-cubic Ising model near the critical point, derived from finite-size scaling of Monte Carlo data, and confirms its validity through agreement with series expansions and experiments.

Contribution

It introduces a new finite-size scaling based expression for the specific heat of the 3D Ising model, including the universal amplitude ratio at criticality.

Findings

Expression agrees with series expansions

Matches experimental results

Determines universal amplitude ratio

Abstract

We provide an expression quantitatively describing the specific heat of the Ising model on the simple-cubic lattice in the critical region. This expression is based on finite-size scaling of numerical results obtained by means of a Monte Carlo method. It agrees satisfactorily with series expansions and with a set of experimental results. Our results include a determination of the universal amplitude ratio of the specific-heat divergences at both sides of the critical point.