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

2007/07/31 by L. N. Shchur, Lev Shchur, Bertrand Berche +3 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.1209/0295-5075/81/30008

published as Europhys.Lett.81:30008,2008

arxiv created 2007/12/12 · openalex publication_date 2008/01/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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

Citations

• Analytic properties of the Ising model with triplet interactions on the triangular lattice

Cited by

• High-precision determination of universal amplitude ratios for theq=3Potts model in two dimensions

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