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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Marco Pettini

145,35 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2010
Materia
Geometría
ISBN:
9781441921642
145,35 €
IVA incluido
Disponible

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Sobre IBD

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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  • Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
    Marco Pettini
    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 th...