A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model

Abstract

Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed and an approach is proposed in order to account numerically for these corrections in the determination of critical amplitudes. Accurate estimates of universal amplitude ratios $A_{+}/A_{-}$, ${\Gamma }_{+}/{\Gamma }_{-}$, ${\Gamma }_T/{\Gamma }_{-}$ and $R_C^{\pm }$ are given, which arouse new questions with respect to previous works.

References in corpus (6)

• Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model
• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Series studies of the Potts model. II: Bulk series for the square lattice
• Susceptibility amplitude ratios in the two-dimensional Potts model and percolation
• Universal amplitude ratios in the 2D four state Potts model
• Susceptibility amplitude ratio in the two-dimensional three-state Potts model

Cited by in corpus (6)

• Critical amplitude ratios of the Baxter-Wu model
• Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model
• High-precision determination of universal amplitude ratios for the q=3 Potts model in 2d
• Absence of logarithmic scaling in the ageing behaviour of the 4D spherical model
• The two-dimensional 4-state Potts model in a magnetic field
• Universal ratios of critical amplitudes in the Potts model universality class