The two-dimensional 4-state Potts model in a magnetic field

Abstract

We present a solution of the non-linear renormalization group equations leading to the dominant and subdominant singular behaviours of physical quantities (free energy density, correlation length, internal energy, specific heat, magnetization, susceptibility and magnetocaloric coefficient) at the critical temperature in a non- vanishing magnetic field. The solutions i) lead to exact cancellation of logarithmic corrections in universal amplitude ratios and ii) prove recently proposed relations among logarithmic exponents.

References in corpus (4)

• Scaling Relations for Logarithmic Corrections
• Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model
• A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model
• Universal ratios of critical amplitudes in the Potts model universality class

Cited by in corpus (5)

• Normal form for renormalization groups
• Phase transitions in the Potts model on complex networks
• Universal Amplitude Ratios for Constrained Critical Systems
• Phase transitions above the upper critical dimension
• Scaling functions and amplitude ratios for the Potts model on an uncorrelated scale-free network