System size dependence of the autocorrelation time for the Swendsen-Wang Ising model

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Abstract

We present Monte Carlo simulation results of the autocorrelation time for the Swendsen-Wang method for the simulation of the Ising model. We have calculated the exponential and the integrated autocorrelation time at the critical point Tc of the two-dimensional Ising model. Our results indicate that both autocorrelation times depend logarithmically on the linear system size L instead of a power law. The simulations were carried out on the parallel computer of the condensed matter theory group at the University of Mainz.

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Permanent address: Institut für Theoretische Physik, Philosophenweg 19, Universität Heidelberg, D-6900 Heidelberg, Fed. Rep. Germany.

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