Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-03
Physics
Condensed Matter
Statistical Mechanics
13 pages, LaTeX, 5 PostScript figures, uses psfig. Submitted to Int. J. Mod. Phys. C
Scientific paper
10.1142/S0129183197000552
We consider lattice gas automata where the lack of semi-detailed balance results from node occupation redistribution ruled by distant configurations; such models with nonlocal interactions are interesting because they exhibit non-ideal gas properties and can undergo phase transitions. For this class of automata, mean-field theory provides a correct evaluation of properties such as compressibility and viscosity (away from the phase transition), despite the fact that no H-theorem strictly holds. We introduce the notion of locality - necessary to define quantities accessible to measurements - by treating the coupling between nonlocal bits as a perturbation. Then if we define operationally ``local'' states of the automaton - whether the system is in a homogeneous or in an inhomogeneous state - we can compute an estimator of the entropy and measure the local channel occupation correlations. These considerations are applied to a simple model with nonlocal interactions.
Boon Jean Pierre
Tribel Olivier
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