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

¹ Institut für Physik, Johannes-Gutenberg-Universität Mainz Staudinger Weg 7, D-55099 Mainz, Germany
² Laboratoire des Verres, Université Montpellier II F-34095 Montpellier, France

Received: 18 February 2002
Accepted: 28 May 2002

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 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 and . At low temperatures the spin autocorrelation function for the 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.