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

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

2007-07-13

arxiv.org/abs/0707.1959v2

J. Stat. Mech. (2008) P07005

Physics

Condensed Matter

Statistical Mechanics

12 pages, 9 figures

Scientific paper

10.1088/1742-5468/2008/07/P07005

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 $T_c=0$.

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