Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Author :
Publisher : Springer Science & Business Media
Total Pages : 460
Release :
ISBN-10 : 9780387499574
ISBN-13 : 0387499571
Rating : 4/5 (571 Downloads)

Book Synopsis Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics by : Marco Pettini

Download or read book Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics written by Marco Pettini and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Related Books

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Language: en
Pages: 460
Authors: Marco Pettini
Categories: Mathematics
Type: BOOK - Published: 2007-06-14 - Publisher: Springer Science & Business Media

GET EBOOK

This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian fo
The Geometry of Hamiltonian Systems
Language: en
Pages: 526
Authors: Tudor Ratiu
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems"
Applications of Contact Geometry and Topology in Physics
Language: en
Pages: 475
Authors: Arkady Leonidovich Kholodenko
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific Publishing Company Incorporated

GET EBOOK

Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd
Symplectic Invariants and Hamiltonian Dynamics
Language: en
Pages: 353
Authors: Helmut Hofer
Categories: Mathematics
Type: BOOK - Published: 2011-03-31 - Publisher: Springer Science & Business Media

GET EBOOK

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic top
Symmetries, Topology and Resonances in Hamiltonian Mechanics
Language: en
Pages: 390
Authors: Valerij V. Kozlov
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of