Logarithmic corrections and universal amplitude ratios in the 4-state Potts model

TL;DR

This paper analyzes Monte Carlo and series expansion data for the 4-state Potts model near criticality, focusing on logarithmic corrections and universal amplitude ratios, providing refined estimates of these ratios.

Contribution

It offers new insights into logarithmic corrections and provides updated estimates of universal amplitude ratios in the 4-state Potts model.

Findings

Logarithmic corrections significantly affect critical behavior.

Estimated universal ratios include A_+/A_-, Γ_+/Γ_L, Γ_T/Γ_L, and R_c^+.

Results improve understanding of phase transition universality in the model.

Abstract

Monte Carlo and series expansion data for the energy, specific heat, magnetisation and susceptibility of the 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed. Estimates of universal ratios A_+/A_-, $\Gamma_+/\Gamma_L$, $\Gamma_T/\Gamma_L$ and R_c^+ are given.