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

TL;DR

This paper investigates the aging dynamics of the two-dimensional fully-frustrated Ising model through Monte Carlo simulations, revealing logarithmic corrections and estimating critical exponents at equilibrium and during aging.

Contribution

It provides the first numerical evidence of logarithmic corrections in the aging regime of the fully-frustrated Ising model and relates these to topological defects.

Findings

Dynamical exponent at equilibrium estimated as z_c=2.

Logarithmic corrections observed during aging.

Autocorrelation exponent estimated as λ=d, consistent with other models.

Abstract

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 $T_c=0$.