Logarithmic corrections and universal amplitude ratios in the 4-state Potts model
نویسندگان
چکیده
1 Laboratoire de Physique des Matériaux, Université Henri Poincaré, Nancy I, BP 239, F-54506 Vandœuvre les Nancy Cedex, France [email protected] 2 Istituto Nazionale di Fisica Nucleare, Universitá Milano-Bicocca, Piazza delle Scienze 3, 20126, Milano, Italia [email protected] 3 Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka 142432, Russia [email protected]
منابع مشابه
Numerical revision of the universal amplitude ratios for the two-dimensional 4-state Potts model
Monte Carlo (MC) simulations and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the ferromagnetic 4-state Potts model on the square lattice are analyzed in a vicinity of the critical point in order to estimate universal combinations of critical amplitudes. The quality of the fits is improved using predictions of the renormalization group (RG) appro...
متن کاملUniversal amplitude ratios in the 2D four state Potts model
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 the existing low temperature series for the model and we...
متن کاملA study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model
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 estim...
متن کاملUniversal ratios of critical amplitudes in the Potts model universality class
Monte Carlo (MC) simulations and series expansions (SE) data for the energy, specific heat, magnetization, and susceptibility of the three-state and four-state Potts model and Baxter-Wu model on the square lattice are analyzed in the vicinity of the critical point in order to estimate universal combinations of critical amplitudes. We also form effective ratios of the observables close to the cr...
متن کاملLogarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model
We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We also find additive logarithmic corrections to scaling, some of which are universal. We have checked the theoretical predictions at criticality and off critica...
متن کامل