Abstract
We consider two fully frustrated Ising models: the antiferromagnetic triangular model in a field ofstrength h = HTkB, as well as the Villain model on the square lattice. After a quench from a disordered initial state toT = 0 we studythe nonequilibrium dynamics of both models by Monte Carlo simulations. In a finite system of linearsize, L, we define and measure sample-dependent ‘first passage time’,tr, which isthe number of Monte Carlo steps until the energy is relaxed to the ground state value. The distribution oftr, in particular its meanvalue, ⟨tr(L)⟩, is shown to obeythe scaling relation, ⟨tr(L)⟩∼L2ln(L/L0), for both models. Scaling of the autocorrelation function of the antiferromagnetictriangular model is shown to involve logarithmic corrections, both atH = 0 andat the field-induced Kosterlitz–Thouless transition: however, the autocorrelation exponent is foundto be H-dependent.
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