https://doi.org/10.1140/epjb/e2004-00332-5
Canonical local algorithms for spin systems: heat bath and Hasting's methods
1
Institut für Theoretische Physik, Freie Universität Berlin,
Arnimallee 14, 14195 Berlin, Germany
2
Japan Science and Technology Agency,
Sendai 980-8577, Japan
3
Surface Physics Laboratory, Fudan University, Shanghai 200433, P.R. China
Corresponding author: a Damien.Loison@physik.fu-berlin.de
Received:
25
February
2004
Revised:
16
August
2004
Published online:
21
October
2004
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 
Ising model (N=1),
the XY model (N=2), the Heisenberg model (N=3), the 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 
.
PACS: 05.70.Fh – Phase transitions: general studies / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 75.10.Hk – Classical spin models / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
