Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1994-12-26
Nonlinear Sciences
Chaotic Dynamics
New version with updated and corrected table of data from computer simulations; 11 pages, one figure included in file
Scientific paper
10.1103/PhysRevLett.74.4416
Cellular automata lattice gases are useful systems for systematically exploring the connections between non-equilibrium statisitcal mechanics and dynamical systems theory. Here the chaotic properties of a Lorentz lattice gas are studied analytically and by computer simulations. The escape-rates, Lyapunov exponents, and KS entropies are estimated for a one-dimensional example using a mean-field theory, and the results are compared with simulations for a range of densities and scattering parameters of the lattice gas. The computer results show a distribution of values for the dynamical quantities with average values that are in good agreement with the mean field theory, and consistent with the escape-rate formalism for the coefficient of diffusion.
Dorfman Robert J.
Ernst Matthieu H.
Jacobs Dianna
Nix Robert
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