An analytic theory and formulation of a local magnetohydrodynamic lattice gas model

Abstract
A theoretical description of the newly developed magnetohydrodynamic lattice gas model [Phys. Rev. Lett. 5 8, 1845 (1987)] is presented. The model is a direct extension of the lattice gas model for incompressible Navier–Stokes fluids. [Phys. Rev. Lett. 5 6, 1506 (1986)]. In the present model the magnetic force and the magnetic induction effects are formulated with local microscopic dynamical rules only, using a bidirectional random walk process. The development of the theory strongly emphasizes the symmetries connecting the microscopic and macroscopic physics. A preliminary numerical test is described.

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