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

Bertrand Berche (1) , Paolo Butera (2) , Lev Shchur (3)

1 LPM - Laboratoire de physique des matériaux
2 INFN - Istituto Nazionale di Fisica Nucleare, Universita Milano-Bicocca
3 L.D. Landau Institute for Theoretical Physics of RAS

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 $A_+/A_-$, $\Gamma_+/\Gamma_L$, $\Gamma_T/\Gamma_L$ and $R_c^+$ are given.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique des Hautes Energies - Réseau [hep-lat]

Bertrand Berche, Paolo Butera, Lev Shchur. Logarithmic corrections and universal amplitude ratios in the 4-state Potts model. 2007. ⟨hal-00164633⟩