Modeling Dynamical Geometry with Lattice-Gas Automata

Brosl Hasslacher () and David A. Meyer ()
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Brosl Hasslacher: Institute for Physical Sciences, Theoretical Division, MS B213, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
David A. Meyer: Project in Geometry and Physics, Department of Mathematics, University of California/San Diego, La Jolla, CA 92093-0112, USA

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 08, 1597-1605

Abstract: Conventional lattice-gas automata consist of particles moving discretely on a fixed lattice. While such models have been quite successful for a variety of fluid flow problems, there are other systems, e.g., flow in a flexible membrane or chemical self-assembly, in which the geometry is dynamical and coupled to the particle flow. Systems of this type seem to call for lattice gas models with dynamical geometry. We construct such a model on one-dimensional (periodic) lattices and describe some simulations illustrating its nonequilibrium dynamics.

Keywords: Dynamical Geometry; Lattice Gas; Self-assembly; Nonequilibrium Dynamics; Reversible Evolution; Emergence; 05.70.Ln; 02.70.Ns; 82.20.Mj; 82.65.Dp (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198001448

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