Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Language: English
Published by Springer New York, Springer New York, 2010
Series: Book 17 of 53 - Interdisciplinary Applied Mathematics
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 101.03
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Add to basketItem description from seller
Seller Inventory # 9781441921642
- Title
- Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
- Author
- Marco Pettini
- Publisher
- Springer New York, Springer New York
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1441921648
- ISBN 13
- 9781441921642
- Item weight
- 709 grams
- Dimensions
- 235x155x26 mm
- Series
- Book 17 of 53: Interdisciplinary Applied Mathematics
This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The subject of the book is very original and nothing similar has been written hitherto. There are numerous illustrations throughout and the book will be of interest to both mathematicians and physicists. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The two areas are strongly related because the geometrization of microscopic dynamics, which is the ultimate physical source of phase transitions, naturally leads to investigate how geometry and topology of the mechanical manifolds have to change to induce a phase transition.
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