Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics) - Tapa blanda

Pettini, Marco

 
9781441921642: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics)
Tapa blanda
ISBN 10: 1441921648 ISBN 13: 9781441921642
Editorial: Springer, 2010

Sinopsis

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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Acerca del autor

The author is one of few pioneering individuals in this recently emerged important research area. His book will be a unique contribution to the field.

De la contraportada

This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques.

Dr. Marco Pettini is affiliated with the Istituto Nazionale di Astrofisica â " Osservatorio Astrofisico di Arretri in Firenze, Italy.

From the foreword:

"It is in particular the quality of mind of the author and his deep physical, as well as mathematical insights, which make this book so special and inspiring. It is a "must" for those who want to venture into a new approach to old problems or want to use new tools for new problems." -- Professor E. G. D. Cohen, Rockefellar University, New York.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441921648
ISBN 13 
9781441921642
Encuadernación
Tapa blanda
Número de páginas
472
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387308920: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics)

Edición Destacada

ISBN 10:  038730892X ISBN 13:  9780387308920
Editorial: Springer, 2007
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