Nonequilibrium dynamics of fully frustrated Ising models at T=0

Details Nonequilibrium dynamics of fully frustrated Ising models at T=0 Nonequilibrium dynamics of fully frustrated Ising models at T=0

2009-05-21

arxiv.org/abs/0905.3503v2

J. Stat. Mech. P07044 (2009)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 8 figures

Scientific paper

We consider two fully frustrated Ising models: the antiferromagnetic triangular model in a field of strength, $h=H T k_B$, as well as the Villain model on the square lattice. After a quench from a disordered initial state to T=0 we study the nonequilibrium dynamics of both models by Monte Carlo simulations. In a finite system of linear size, $L$, we define and measure sample dependent "first passage time", $t_r$, which is the number of Monte Carlo steps until the energy is relaxed to the ground-state value. The distribution of $t_r$, in particular its mean value, $< t_r(L) >$, is shown to obey the scaling relation, $< t_r(L) > \sim L^2 \ln(L/L_0)$, for both models. Scaling of the autocorrelation function of the antiferromagnetic triangular model is shown to involve logarithmic corrections, both at H=0 and at the field-induced Kosterlitz-Thouless transition, however the autocorrelation exponent is found to be $H$ dependent.

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