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

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

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L. A. Fernandez, E. Marinari, J. J. Ruiz-Lorenzo. 1994-12-05. Tempering Dynamics and Relaxation Times in the $3D$ Ising Model. https://doi.org/10.1051/jp1%3A1995195

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