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Chaotic properties of a one-dimensional Lorentz gas

✍ Scribed by C. Appert; C. Bokel; J.R. Dorfman; M.H. Ernst

Book ID
104297134
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
364 KB
Volume
103
Category
Article
ISSN
0167-2789

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✦ Synopsis

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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The velocity autocorrelatlon function and related quantities are investigated for the onedimensional deterministic Lorentz gas, consisting of randomly distributed fixed scatterers and light particles moving back and forth between two of these at a constant given speed An expansion for the velocity a