Tempering Dynamics and Relaxation Times in the $3D$ Ising Model

Abstract

We discuss the tempering Monte Carlo method, and its critical slowing down in the $3d$ Ising model. We show that at $T_c$ 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.

10 pages, compressed ps-file (uufiles)

References in corpus (1)

• Rough Interfaces Beyond the Gaussian Approximation

Cited by in corpus (4)

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• Irreversible simulated tempering
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• Optimized Monte Carlo Methods