This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, such as dynamical instability, topological analysis, periodic-orbit methods, Liouvillian dynamics, dynamical randomness and large-deviation formalism. These tools are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium. Chaotic Scattering is illustrated with disk scatterers and with examples of unimolecular chemical reactions and then generalized to transport in spatially extended systems. This book will be bought by researchers interested in chaos, dynamical systems, chaotic scattering, and statistical mechanics in theoretical, computational and mathematical physics and also in theoretical chemistry.
Rezensionen / Stimmen
"...gives both the background and an overview of recent developments in nonequilibrium statistical mechanics, to which the author himself has made major contributions...an important reference book as well as an ideal tool for advanced students in the expanding and important field of statistical physics." Physics Today "The book is nicely written...allows one to see some topics in dynamical systems with new eyes." Mathematical Reviews
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
32 Tables, unspecified; 102 Line drawings, unspecified
Maße
Höhe: 250 mm
Breite: 175 mm
Dicke: 31 mm
Gewicht
ISBN-13
978-0-521-39511-3 (9780521395113)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Universite Libre de Bruxelles
1. Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4. Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic modes of diffusion; 8. Systems maintained out of equilibrium; 9. Noises as microscopic chaos.
