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Field and density dependence of the Lyapunov spectrum for the driven random Lorentz gas

✍ Scribed by Ch. Dellago; H.A. Posch

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
719 KB
Volume
112
Category
Article
ISSN
0167-2789

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✦ Synopsis

We report on extensive numerical computations of full Lyapunov spectra and related Kaplan-Yorke dimensions for the twoand three-dimensional random Lorentz gases subjected to an external field. This model is one of the simplest nonequilibrium steady-state systems displaying macroscopic irreversibility in spite of its time-reversible microscopic dynamics, in accordance with the Second Law. Nonequilibrium steady states are maintained by Gaussian constraints, keeping the kinetic energy constant. We study the variation of the Lyapunov exponents with the applied field in a wide range of scatterer densities. For dilute systems and small fields our numerical results are in perfect agreement with recent analytical expressions based on Boltzmann equation methods.

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