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arXiv:0707.3317 · Physics Procedia

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

Bertrand Berche, P. Butera, Щур Лев Николаевич

Published Jan 1, 2010• 7 citations
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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−,Γ+/ΓL,ΓT/ΓL and Rc+ are given.
DOI
10.1016/j.phpro.2010.09.039

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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 - , Γ + /Γ - , Γ T /Γ - and R C ± are given, which arouse new questions with respect to previous works.
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