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Modeling Dynamical Geometry with Lattice-Gas Automata

Author

Listed:
  • 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)

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.

Suggested Citation

  • Brosl Hasslacher & David A. Meyer, 1998. "Modeling Dynamical Geometry with Lattice-Gas Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1597-1605.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001448
    DOI: 10.1142/S0129183198001448
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