Lyapunov Exponents from Kinetic Theory for a Dilute, Field-Driven Lorentz Gas

Long-time-tail Effects on Lyapunov Exponents of a Random, Two-dimensional Field-driven Lorentz Gas

We study the Lyapunov exponents for a moving, charged particle in a two-dimensional Lorentz gas with randomly placed, non-overlapping hard disk scatterers placed in a thermostatted electric field, ~ E. The low density values of the Lyapunov exponents have been calculated with the use of an extended Lorentz-Boltzmann equation. In this paper we develop a method to extend these results to higher d...

Kinetic Theory for a Dilute Gas of Particles

In Table 2 we have collected results for o for certain elements belonging to the same groups in the periodic table. Table 2 contains the numerical values of the total cross section for several elements. The results show that o is not a monotonic function of k for small A:-values but neither a complicated function of k. o contains some maxima and minima which means it ahs an oscillatory characte...

Kinetic Theory for a Dilute Gas of Particles with “Spin”

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

Institute for Mathematical Physics Lyapunov Spectrum and the Conjugate Pairing Rule for a Thermostated Random Lorentz Gas: Kinetic Theory

3 N ov 1 99 4 Measures with infinite Lyapunov exponents for the periodic Lorentz gas

We study invariant measures for the Lorentz gas which are supported on the set of points with infinite Lyapunov exponents. We construct examples of such measures which are measures of maximal entropy and ones which are not.