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Tempering Dynamics and Relaxation Times in the 3D Ising Model

L. A. Fernandez, E. Marinari, J. J. Ruiz-Lorenzo

cond-matarXiv:cond-mat/9412020

Abstract

We discuss the tempering Monte Carlo method, and its critical slowing down in the 3d Ising model. We show that at Tc the tempering does not change the critical slowing down exponent z. We also discuss the exponential slowing down for the transition from the plus to the minus state in the cold phase, and we show that tempering reduces it to a power law slowing down. We discuss the relation of the flip-flop rate to the surface tension for the local dynamical schemes.

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