Tempering Dynamics and Relaxation Times in the 3D Ising Model

Issue		J. Phys. I France Volume 5, Number 10, October 1995


Page(s)		1247 - 1254
DOI		10.1051/jp1:1995195

DOI: 10.1051/jp1:1995195
J. Phys. I France 5 (1995) 1247-1254

Tempering Dynamics and Relaxation Times in the 3D Ising Model

Luis A. Fernández¹, Enzo Marinari² and Juan J. Ruiz-Lorenzo³

¹ Departamento de Física Teórica, Universidad Complutense de Madrid, Ciudad Universitaria, Madrid 28040 Spain
² Dipartimento di Fisica and Infn, Università di Cagliari, Via Ospedale 72, 09100 Cagliari Italy
³ Dipartimento di Fisica and Infn, Università di Roma La Sapienza, P. A. Moro 2, 00185 Roma Italy

(Received 26 January 1995, revised 24 April 1995, accepted 30 June 1995)

Abstract
We discuss the tempering Monte Carlo method, and its critical slowing down behavior in the 3D Ising model. We show that at $T_{\rm c}$ 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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