Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases

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dc.creatorvan Beijeren, H.
dc.creatorvan Zon, R.
dc.creatorDorfman, J. R.
dc.date1999-09-23
dc.date2000-03-06
dc.date.accessioned2026-07-07T02:36:01Z
dc.date.available2026-07-07T02:36:01Z
dc.descriptionThe kinetic theory of gases provides methods for calculating Lyapunov exponents and other quantities, such as Kolmogorov-Sinai entropies, that characterize the chaotic behavior of hard-ball gases. Here we illustrate the use of these methods for calculating the Kolmogorov-Sinai entropy, and the largest positive Lyapunov exponent, for dilute hard-ball gases in equilibrium. The calculation of the largest Lyapunov exponent makes interesting connections with the theory of propagation of hydrodynamic fronts. Calculations are also presented for the Lyapunov spectrum of dilute, random Lorentz gases in two and three dimensions, which are considerably simpler than the corresponding calculations for hard-ball gases. The article concludes with a brief discussion of some interesting open problems.
dc.description41 pages (REVTEX); 7 figs., 4 of which are included in LaTeX source. (Fig.7 doesn't print well on some printers) This revised paper will appear in "Hard Ball Systems and the Lorentz Gas", D. Szasz ed., Encyclopaedia of Mathematical Sciences, Springer
dc.identifierhttps://arxiv.org/abs/chao-dyn/9909034
dc.identifierhttp://arxiv.org/abs/chao-dyn/9909034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15768
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleKinetic Theory Estimates for the Kolmogorov-Sinai Entropy and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases
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