Tempering Dynamics and Relaxation Times in the 3D Ising Model

Abstract
We discuss the tempering Monte Carlo method, and its critical slowing down behavior 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 flip-flop from plus to 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 local dynamical schemes
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