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Nonequilibrium dynamics of fully frustrated Ising models at T=0

Abstract : 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 relaxation 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, $$, is shown to obey the scaling relation, $ \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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http://hal.in2p3.fr/in2p3-00409632
Contributor : Emmanuelle Vernay <>
Submitted on : Tuesday, August 11, 2009 - 10:46:02 AM
Last modification on : Thursday, November 19, 2020 - 1:01:19 PM

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M. Karsai, Jean-Christian Anglès d'Auriac, F. Igloi. Nonequilibrium dynamics of fully frustrated Ising models at T=0. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2009, pp.P07044. ⟨10.1088/1742-5468/2009/07/P07044⟩. ⟨in2p3-00409632⟩

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