  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.
