Titel: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics (Interdisciplinary Applied Mathematics, 33)
Verlag: Springer
Erscheinungsjahr: 2007
Sprache: Englisch
ISBN-10: 038730892X
ISBN-13: 9780387308920
Einband: Hardcover
Zustand: New

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This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. 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 book contains numerous illustrations throughout and it will interest both mathematicians and physicists.

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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.

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