Geometry and topology in Hamiltonian dynamics and statistical mechanics
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 curr...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | Inglés |
| Published: |
New York :
Springer
c2007.
|
| Edition: | 1st ed. 2007. |
| Series: | Interdisciplinary applied mathematics ;
v. 33. |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461748906719 |
Table of Contents:
- 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.
