Integer Lattice Gases

Details Integer Lattice Gases Integer Lattice Gases

1996-02-15

arxiv.org/abs/comp-gas/9602001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

23 pages, LaTeX with six PostScript figures included using epsf

Scientific paper

10.1103/PhysRevE.55.4137

We generalize the hydrodynamic lattice gas model to include arbitrary numbers of particles moving in each lattice direction. For this generalization we derive the equilibrium distribution function and the hydrodynamic equations, including the equation of state and the prefactor of the inertial term that arises from the breaking of galilean invariance in these models. We show that this prefactor can be set to unity in the generalized model, therby effectively restoring galilean invariance. Moreover, we derive an expression for the kinematic viscosity, and show that it tends to decrease with the maximum number of particles allowed in each direction, so that higher Reynolds numbers may be achieved. Finally, we derive expressions for the statistical noise and the Boltzmann entropy of these models.

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