Abstract

Q2R cellular automata are shown to attain thermal equilibration in the two-dimensional Edwards-Anderson model (1975) of a spin glass. Some problems associated with equilibration at low temperatures are identified as finite-size effects. The authors use a thermalization test due to Bhatt and Young (1988). Their results indicate the possibility of calculating Gibbs averages in this model by means of the Q2R algorithm. A rough efficiency comparison with the conventional (Metropolis) Monte Carlo algorithm is also made.

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