1999/05/05 by Bruce M. Boghosian, Boghosian, Bruce M. · 2 citations
Physics and Astronomy · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #comp-gas #nlin.CG
paper · pdf · doi:10.48550/arxiv.comp-gas/9905001
26 pages, 9 figures, elsart (Elsevier) and epsf macros used. Contribution to the volume "Future Generation Computer Systems," D. Talia ed., Elsevier (1999)
arxiv created 1999/05/05 · arxiv updated 2009/11/30
We review the class of cellular automata known as lattice gases, and their applications to problems in physics and materials science. The presentation is self-contained, and assumes very little prior knowledge of the subject. Hydrodynamic lattice gases are emphasized, and non-lattice-gas cellular automata -- even those with physical applications -- are not treated at all. We begin with a review of lattice gases as the term is understood in equilibrium statistical physics. We then discuss the various methods that have been proposed to simulate hydrodynamics with a lattice gas, leading up to the 1986 discovery of a lattice gas for the isotropic Navier-Stokes equations. Finally, we discuss variants of lattice-gas models that have been used for the simulation of complex fluids.