Universal amplitude ratios in the 2D four state Potts model

Abstract

We present a Monte Carlo study of various universal amplitude ratios of the two dimensional q=4 Potts model. We simulated the model close to criticality in both phases taking care to keep the systematic errors, due to finite size effects and logarithmic corrections in the scaling functions, under control. Our results are compatible with those recently obtained using the form-factors approach and with the existing low temperature series for the model.

25 pages, Latex, revised version to appear in Nucl.Phys.B

References in corpus (5)

• The Magnetization of the 3D Ising Model
• 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
• Universal Amplitude Ratios in the 3D Ising Model
• Dynamic Critical Behavior of a Swendsen-Wang-Type Algorithm for the Ashkin-Teller Model

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• Universal amplitude ratios of two-dimensional percolation from field theory
• Universal Ratios in the 2-D Tricritical Ising Model
• High-precision determination of universal amplitude ratios for the q=3 Potts model in 2d
• Susceptibility amplitude ratio in the two-dimensional three-state Potts model
• A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model
• The two-dimensional 4-state Potts model in a magnetic field
• Interfacial adsorption in two-dimensional pure and random-bond Potts models
• Universal ratios of critical amplitudes in the Potts model universality class