Canonical local algorithms for spin systems: Heat Bath and Hasting's methods

Details Canonical local algorithms for spin systems: Heat Bath and Hasting's methods Canonical local algorithms for spin systems: Heat Bath and Hasting's methods

2004-09-16

arxiv.org/abs/cond-mat/0409422v1

Euro. Phys. J. B 41 (2004) 395

Physics

Condensed Matter

Statistical Mechanics

42 pages, 17 figures, to be pubhlished in Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2004-00332-5

We introduce new fast canonical local algorithms for discrete and continuous spin systems. We show that for a broad selection of spin systems they compare favorably to the known ones except for the Ising +/-1 spins. The new procedures use discretization scheme and the necessary information have to be stored in computer memory before the simulation. The models for testing discrete spins are the Ising +/-1, the general Ising S or Blume-Capel model, the Potts and the clock models. The continuous spins we examine are the O(N) models, including the continuous Ising model (N=1), the \phi^4 Ising model (N=1), the XY model (N=2), the Heisenberg model (N=3), the \phi^4 Heisenberg model (N=3), the O(4) model with applications to the SU(2) lattice gauge theory, and the general O(N) vector spins with N\ge5.

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