Abstract

We present some chaotic properties of a one-dimensional Lorentz lattice gas (a particle moving on a lattice among fixed probabilistic scatterers) in the frame of the thermodynamical formalism. Mean field theory has allowed us to predict the escape rate and the Lyapunov exponent, but it fails for the topological entropy. A reasonable improvement is obtained by taking correlations into account (ring kinetic theory), the theoretical results are compared to numerical simulations.

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