Universal amplitude ratios in the 3D Ising Universality Class

TL;DR

This paper calculates universal amplitude ratios in the 3D Ising universality class using Monte Carlo simulations of the improved Blume-Capel model, providing precise numerical results and comparisons with previous methods.

Contribution

It introduces new high-precision Monte Carlo estimates of universal amplitude ratios in the 3D Ising class, enhancing the understanding of critical phenomena.

Findings

A_+/A_-=0.536(2)

C_+/C_-=4.713(7)

Results agree with previous simulations and experiments

Abstract

We compute a number of universal amplitude ratios in the three-dimensional Ising universality class. To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. For example, we obtain A_+/A_-=0.536(2) and C_+/C_-=4.713(7), where A_+- and C_+- are the amplitudes of the specific heat and the magnetic susceptibility, respectively. The subscripts + and - indicate the high and the low temperature phase, respectively. We compare our results with those obtained from previous Monte Carlo simulations, high and low temperature series expansions, field theoretic methods and experiments.