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Spectra of spatial fluctuations in lattice gas cellular automata fluids

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  • Das, Shankar P.

Abstract

Spectra or decay rates of spatial fluctuations for different Lattice Gas Cellular Automata (LGCA) Fluids are discussed using the Boltzmann equation. We demonstrate how the spectra provide information on the time and length scales of hydrodynamic behavior, isotropy and existence of spurious conservation laws in different LGCA models. The range of validity of generalized hydrodynamics with wave-number-dependent sound speed and transport coefficients is indicated. These properties give a quantitative explanation of several existing, but unexplained simulation results on the so called “negative bulk viscosities”, and on the strong dispersion in the simulation results on sound damping. The use of the spectra to analyse the spatial instabilities occurring in certain models of LGCA is also indicated.

Suggested Citation

  • Das, Shankar P., 1996. "Spectra of spatial fluctuations in lattice gas cellular automata fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 180-187.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:180-187
    DOI: 10.1016/0378-4371(95)00309-6
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    1. W G Beasley & Sir Hugh Cortazzi & Bruce Kirkpatrick & T B Millar & edited by Ian Nish, 1991. "The British Commonwealth and its Contribution to the Occupation of Japan, 1945-8," STICERD - International Studies Paper Series 227, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Alain Rivet, 1987. "Le nouveau régime d'imposition des bénéfices: les entreprises en difficultés," Post-Print hal-00960438, HAL.
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