Marco Pettini
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Gebonden Engels 2007 2007e druk 9780387308920Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780387308920
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:456
Uitgever:Springer New York
Druk:2007
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Inhoudsopgave
Background in Physics.- Geometrization of Hamiltonian Dynamics.- Integrability.- Geometry and Chaos.- Geometry of Chaos and Phase Transitions.- Topological Hypothesis on the Origin.- Geometry, Topology and Thermodynamics.- Phase Transitions and Topology: Necessity Theorems.- Phase Transitions and Topology: Exact Results.- Future Developments.
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