1995•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsRequires access

Lyapunov exponents of systems with elastic hard collisions

Christoph Dellago, Harald A. Posch

Abstract

Benettin's classical method for the calculation of the Lyapunov exponent spectra of smooth flows is applied to the case of systems with elastic hard collisions. As illustrative examples the maximum Lyapunov exponent is calculated for the two-dimensional periodic Lorentz gas over a wide density range, and for the Sinai stadium billiard.

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Key concepts: Dynamical billiards, Lyapunov exponent, Physics, Lorentz transformation, Exponent, Range (aeronautics), Classical mechanics, Lyapunov function