Electronic Resource
Springer
Journal of statistical physics
45 (1986), S. 471-526
ISSN:
1572-9613
Keywords:
Cellular automata
;
derivation of hydrodynamics
;
molecular dynamics
;
kinetic theory
;
Navier-Stokes equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Continuum equations are derived for the large-scale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles with discrete velocities populate the links of a fixed array of sites. Kinetic equations for microscopic particle distributions are constructed. Hydrodynamic equations are then derived using the Chapman-Enskog expansion. Slightly modified Navier-Stokes equations are obtained in two and three dimensions with certain lattices. Viscosities and other transport coefficients are calculated using the Boltzmann transport equation approximation. Some corrections to the equations of motion for cellular automaton fluids beyond the Navier-Stokes order are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01021083
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