Logarithmic corrections in the aging of the fully-frustrated Ising model

Jean-Charles Walter (1) , Christophe Chatelain (1)

1 LPM - Laboratoire de physique des matériaux

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 $z_c=2$. In a second step, the system is prepared in the paramagnetic phase and then quenched at its critical temperature $T_c=0$. Numerical evidences for the existence of logarithmic corrections in the aging regime are presented. These corrections may be related to the topological defects observed in other fully-frustrated models. The autocorrelation exponent is estimated to be $\lambda=d$ as for the Ising chain quenched at $T_c=0$.

Mots clés: Ising model; aging; fully-frustrated; Monte Carlo simulations; out-of-equilibrium

Domaines: Mécanique statistique [cond-mat.stat-mech]

Jean-Charles Walter, Christophe Chatelain. Logarithmic corrections in the aging of the fully-frustrated Ising model. Journal of Statistical Mechanics: Theory and Experiment, 2008, pp.P07005. ⟨10.1088/1742-5468/2008/07/P07005⟩. ⟨hal-00162367v2⟩