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

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

1994-12-05

arxiv.org/abs/cond-mat/9412020v1

Journal de Physique I (France) 5 (1995)

Physics

Condensed Matter

10 pages, compressed ps-file (uufiles)

Scientific paper

10.1051/jp1:1995195

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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