Evidence against a glass transition in the 10-state short range Potts glass

Abstract

We present the results of Monte Carlo simulations of two different 10-state Potts glasses with random nearest neighbor interactions on a simple cubic lattice. In the first model the interactions come from a \pm J distribution and in the second model from a Gaussian one, and in both cases the first two moments of the distribution are chosen to be equal to J_0=-1 and Delta J=1. At low temperatures the spin autocorrelation function for the \pm J model relaxes in several steps whereas the one for the Gaussian model shows only one. In both systems the relaxation time increases like an Arrhenius law. Unlike the infinite range model, there are only very weak finite size effects and there is no evidence that a dynamical or a static transition exists at a finite temperature.

9 pages of Latex, 4 figures

References in corpus (3)

• Glassiness and constrained dynamics of a short-range non-disordered spin model
• Statics and Dynamics of the 10-state mean-field Potts glass model: A Monte Carlo study
• Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass

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• The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model
• Critical behavior of the three- and ten-state short-range Potts glass: A Monte Carlo study
• Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions
• Critical Behavior of Three-Dimensional Disordered Potts Models with Many States
• A curious relationship between Potts glass models