Mean-Field Theory for Lyapunov Exponents and Kolmogorov-Sinai Entropy in Lorentz Lattice Gases

M. H. Ernst, J. R. Dorfman, R. Nix, and D. Jacobs
Phys. Rev. Lett. 74, 4416 – Published 29 May 1995
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Abstract

Chaotic properties of a Lorentz lattice gas are studied analytically and by computer simulations. The escape rates, Lyapunov exponents, and Kolmogorov-Sinai entropies are estimated for a 1D example using mean-field theory, and the results are compared with simulations for a range of densities and scattering parameters of the lattice gas. Computer results show a distribution of values for the dynamical quantities with average values in good agreement with mean-field theory, and consistent with the escape-rate formalism for the coefficient of diffusion.

  • Received 21 December 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.4416

©1995 American Physical Society

Authors & Affiliations

M. H. Ernst, J. R. Dorfman, R. Nix, and D. Jacobs

  • Institute for Theoretical Physics, Utrecht University, P.O. Box 80006, 3508 TA Utrecht, The Netherlands

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Vol. 74, Iss. 22 — 29 May 1995

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