Lattice Gas Automata for Reactive Systems

Details Lattice Gas Automata for Reactive Systems Lattice Gas Automata for Reactive Systems

1995-12-12

arxiv.org/abs/comp-gas/9512001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

to appear in PHYSICS REPORTS, 81 revtex pages; uuencoded gziped postscript file; figures available from jpboon@ulb.ac.be or

Scientific paper

10.1016/0370-1573(95)00080-1

Reactive lattice gas automata provide a microscopic approachto the dynamics of spatially-distributed reacting systems. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the phenomenology of macroscopic systems, we describe the reactive LGA in terms of a simple physical picture to show how an automaton can be constructed to capture the essentials of a reactive molecular dynamics scheme. The statistical mechanical theory of the automaton is then developed for diffusive transport and for reactive processes, and a general algorithm is presented for reactive LGA. The method is illustrated by considering applications to bistable and excitable media, oscillatory behavior in reactive systems, chemical chaos and pattern formation triggered by Turing bifurcations. The reactive lattice gas scheme is contrasted with related cellular automaton methods and the paper concludes with a discussion of future perspectives.

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