ISSN:
1572-9613
Keywords:
Lattice gas
;
cellular automata
;
microcanonical ensemble
;
Ising model
;
deterministic dynamics
;
spin glass
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We introduce a lattice gas for particles with discrete momenta (1, 0, −1) and local deterministic microdynamics, which exactly reproduces Creutz's microcanonical algorithm for the ferromagnetic Ising model. However, because of the manifest gauge invariance of our variables, both the Ising ferromagnetic and spin-glass systems share precisely the same dynamics with different initial conditions. Additional conservation laws in the 1D Ising case result in a completely integrable system in the limit of zero or unbounded demon energy cutoff. Numerical investigations of ergodicity are presented for the pure Ising lattice gas in one and two dimensions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01020289
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