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

D. Loison·C. Qin·K. D. Schotte·X. F. Jin
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Abstract

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 ϕ^4 Ising model (N=1), the XY model (N=2), the Heisenberg model (N=3), the ϕ^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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D. Loison, C. Qin, K. D. Schotte, X. F. Jin. 2004-09-16. Canonical local algorithms for spin systems: Heat Bath and Hasting's methods. https://doi.org/10.1140/epjb%2Fe2004-00332-5

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