Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Critical phenomena and phase transitions

DY 1.2: Talk

Monday, February 25, 2008, 10:30–10:45, MA 004

Autocorrelation times and the parallel tempering algorithm — •Elmar Bittner, Andreas Nussbaumer, and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany

We introduce a new update schema for systematically improving the efficiency of parallel tempering Monte Carlo simulations by taking the temperature dependence of autocorrelation times into account. In contrast to previous attempts the temperature is fixed and chosen in such a way that the acceptance rate for all adjacent replica is about 50%. We show that by adopting the numbers of local updates between the parallel tempering moves, the round-trip times of a replica between the lowest and the highest temperatures is significantly increased, and therefore, the efficiency of the parallel tempering algorithm is considerably improved. As examples we show results for the two-dimensional Ising model and the three-dimensional Edwards-Anderson spin glass.