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Front propagation techniques to calculate the largest Lyapunov exponent of dilute hard disk gases

par Van Zon, Ramses;Van Beijeren, Henk
Référence Journal of statistical physics, 109, 3-4, page (641-669)
Publication Publié, 2002

Article révisé par les pairs

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Résumé :

A kinetic approach is adopted to describe the exponential growth of a small deviation of the initial phase space point, measured by the largest Lyapunov exponent, for a dilute system of hard disks, both in equilibrium and in a uniform shear flow. We derive a generalized Boltzmann equation for an extended one-particle distribution that includes deviations from the reference phase space point. The equation is valid for very low densities n, and requires an unusual expansion in powers of 1/