2 00 7 Logarithmic corrections in the aging of the fully - frustrated Potts model
نویسندگان
چکیده
We study the aging of the two-dimensional fully-frustrated Ising and three-state Potts models by means of Monte Carlo simulations. The system is initially prepared at infinite temperature and then quenched either at its critical temperature or in the low-temperature phase for the three-state Potts model. Autocorrelation and response functions are shown to satisfy the scaling behavior conjectured for aging ferromagnets if one assumes the existence of logarithmic corrections. The dynamical and autocorrelation exponents are compatible with λ = d and z = 2 for the Ising model and probably the three-state Potts model both at and below Tc. The fluctuation-dissipation ratio goes asymptotically to different non-trivial values at Tc and does not vanish below Tc.
منابع مشابه
2 8 M ay 2 00 8 Logarithmic corrections in the aging of the fully - frustrated Ising model
We study the dynamics of the critical two-dimensional fully-frustrated Ising model by means of Monte Carlo simulations. The dynamical exponent is estimated at equilibrium and is shown to be compatible with the value zc = 2. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature Tc = 0. Numerical evidences for the existence of logarithmic...
متن کاملNumerical investigation of the aging of the Fully - Frustrated XY model
We study the out-of-equilibrium dynamics of the fully-frustrated XY model. At equilibrium, this model undergoes two phase transitions at two very close temperatures: a Kosterlitz-Thouless topological transition and a secondorder phase transition between a paramagnetic phase and a low-temperature phase where the chiralities of the lattice plaquettes are anti-ferromagnetically ordered. We compute...
متن کاملRelaxation at finite temperature in Fully-Frustrated Ising Models
We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to previous studies of the second model, we show that spin-spin correlation functions do not decay with a stretched-exponential law at low temperature but that both m...
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 کامل2 8 M ay 1 99 7 Coupled critical Models : Application to Ising - Potts Models
We discuss the critical behaviour of 2D Ising and q−states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal field theories representing pure models as already used for disordered spins models. This analysis could be useful to understand the physics of coupled critica...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008