Critical amplitude ratios of the Baxter-Wu model

TL;DR

This study uses Monte Carlo simulations to analyze the critical behavior of the Baxter-Wu model, estimating critical amplitude ratios and comparing results with analytical and numerical predictions.

Contribution

It provides new estimates of universal amplitude ratios for the Baxter-Wu model using Monte Carlo methods, enhancing understanding of its critical behavior.

Findings

Estimated critical temperature window using analytical results

Calculated universal amplitude ratios with improved accuracy

Compared numerical results with analytical predictions

Abstract

A Monte Carlo simulation study of the critical and off-critical behavior of the Baxter-Wu model, which belongs to the universality class of the 4-state Potts model, was performed. We estimate the critical temperature window using known analytical results for the specific heat and magnetization. This helps us to extract reliable values of universal combinations of critical amplitudes with reasonable accuracy. Comparisons with approximate analytical predictions and other numerical results are discussed.