Relaxation and transport in FCHC lattice gases



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Brito, Ricardo and Van Coevorden, D. V. and Ernst, M. H. and Somers, J. A. (1994) Relaxation and transport in FCHC lattice gases. Journal of Statistical Physics , 74 (05-jun). pp. 1085-1115. ISSN 0022-4715


FCHC lattice gases are the basic models for studying flow problems in three-dimensional systems. This paper presents a self-contained theoretical analysis and some computer simulations of such lattice gases, extended to include an arbitrary number of rest particles, with special emphasis on non-semi-detailed balance (NSDB) models. The special FCHC lattice symmetry guarantees isotropy of the Navier-Stokes equations, and enumerates the 12 spurious conservation laws (staggered momenta). The kinetic theory is based on the mean field approximation or the nonlinear Boltzmann equation. It is shown how calculation of the eigenvalues of the linearized Boltzmann equation offers a simple alternative to the Chapman-Enskog method or the multi-time-scale methods for calculating transport coefficients and relaxation rates. The simulated values for the speed of sound in NSDB models slightly disagree with the Boltzmann prediction.

Item Type:Article
Uncontrolled Keywords:Velocity Autocorrelation Function, Cellular Automata Fluids, Long-Time Tails, Hydrodynamics, Model
Subjects:Sciences > Physics > Thermodynamics
ID Code:22078
Deposited On:03 Jul 2013 09:45
Last Modified:24 Jul 2018 11:09

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