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From Newton to Boltzmann : hard spheres and short-range potentials / Isabelle Gallagher; Laure Saint-Raymond; Benjamin Texier

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Zurich lectures in advanced mathematicsPublisher: Zürich : European Mathem. Soc., c 2013Description: XI, 135 S. : graph. DarstISBN:
  • 9783037191293
Subject(s): Additional physical formats: Erscheint auch als: From Newton to Boltzmann. Online-Ausgabe Zürich : European Mathematical Society, 2013. 1 Online-Ressource (xi, 135 Seiten) | Online-Aus.: From Newton to Boltzmann. Zürich : European Mathematical Society, 2013. 1 Online-Ressource (xi, 135 Seiten)DDC classification:
  • 515/.353 23
MSC: MSC: *82-02 | 82C40 | 35Q20 | 82C70 | 35B40 | 35Q70 | 76P05 | 82C22RVK: RVK: SK 950LOC classification:
  • QC175.2
Summary: "The question addressed in this monograph is the relationship between the time-reversible Newton dynamics for a system of particles interacting via elastic collisions, and the irreversible Boltzmann dynamics which gives a statistical description of the collision mechanism. Two types of elastic collisions are considered: hard spheres, and compactly supported potentials. Following the steps suggested by Lanford in 1974, we describe the transition from Newton to Boltzmann by proving a rigorous convergence result in short time, as the number of particles tends to infinity and their size simultaneously goes to zero, in the Boltzmann-Grad scaling. Boltzmann's kinetic theory rests on the assumption that particle independence is propagated by the dynamics. This assumption is central to the issue of appearance of irreversibility. For finite numbers of particles, correlations are generated by collisions. The convergence proof establishes that for initially independent configurations, independence is statistically recovered in the limit. This book is intended for mathematicians working in the fields of partial differential equations and mathematical physics, and is accessible to graduate students with a background in analysis." --PPN: PPN: 77684685X
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Item type Home library Shelving location Call number Status Notes Date due Barcode
Handbibliothek Fakultät für Mathematik Handbibliothek (Ausleihe und Einsicht nicht möglich) Dgln / Gal Checked out Ausleihe und Einsicht nicht möglich Standort: FBM-Handapparat 12 08.11.2038 36580474090
Handbibliothek Fakultät für Mathematik Handbibliothek (Ausleihe und Einsicht nicht möglich) Dgln / Gal Checked out Ausleihe und Einsicht nicht möglich Standort: FBM-Handapparat 12 01.02.2038 36564796090
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