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

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

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Tempering Dynamics and Relaxation Times in the 3D Ising Model

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arxiv cond-mat/9412020 v1 pith:YZ53BIAI submitted 1994-12-05 cond-mat

Tempering Dynamics and Relaxation Times in the 3D Ising Model

L.A. Fernandez , E. Marinari , J. J. Ruiz-Lorenzo This is my paper

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keywords downslowingtemperingdiscusscriticalisingmodelcarlo

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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.

Tempering Dynamics and Relaxation Times in the 3D Ising Model

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