MULTIPARTICLE LATTICE GAS AUTOMATA FOR REACTION DIFFUSION SYSTEMS

Bastien Chopard, Laurent Frachebourg and Michel Droz
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Bastien Chopard: Group for Parallel Computing, University of Geneva, 24 rue General-Dufour. CH-1211 Geneva 4, Switzerland
Laurent Frachebourg: Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet. CH-1211 Geneva 4, Switzerland
Michel Droz: Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet. CH-1211 Geneva 4, Switzerland

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 01, 47-63

Abstract: Lattice gas automata are a powerful tool to model reaction-diffusion processes. However, the evolution rules limit the number of particles that can be present at each lattice site. This restriction is often a strong limitation to modelling several reaction-diffusion phenomena and, also, lead to very noisy numerical simulations. We propose and study new algorithms which allow for an arbitrary number of particle, while keeping the benefits of the cellular automata approach (close to a microscopic level of description, deal correctly with all degrees of freedom, and is numerically exact).

Keywords: Lattice Gas; Cellular Automata; Numerical Simulations; Reaction-diffusion Processes (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1142/S0129183194000052

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