Hard Ball Systems and the Lorentz Gas

Beschreibung

Hard Ball Systems and the Lorentz Gas are fundamental models arising in the theory of Hamiltonian dynamical systems. Moreover, in these models, some key laws of statistical physics can also be tested or even established by mathematically rigorous tools. The mathematical methods are most beautiful but sometimes quite involved. This collection of surveys written by leading researchers of the fields - mathematicians, physicists or mathematical physicists - treat both mathematically rigourous results, and evolving physical theories where the methods are analytic or computational. Some basic topics: hyperbolicity and ergodicity, correlation decay, Lyapunov exponents, Kolmogorov-Sinai entropy, entropy production, irreversibility. This collection is a unique introduction into the subject for graduate students, postdocs or researchers - in both mathematics and physics - who want to start working in the field.
Outstanding research in dynamical systems. Includes supplementary material: sn.pub/extras

Autor*in

L.A. Bunimovich

Themen in »Hard Ball Systems and the Lorentz Gas«

Lorentz gas correlation differential equation entropy ergodic theory of hyperbolic dynamical systems ergodicity hard ball systems nonequilibrium stationary states statistical physics

Stimmen zu »Hard Ball Systems and the Lorentz Gas«

"... The reviews have been written for a non-specialist mature audience and are quite accessible, even in the first part. The bibliography is very generous. Overall, the book constitutes an excellent introduction into this active, sometimes controversial, field. Anybody interested in the recent advances of dynamical systems theory applied to non-equilibrium statistical mechanics will find this book of use. ..."

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