From Tools in Symplectic and Poisson Geometry to J.-M. Souriau’s Theories of Statistical Mechanics and Thermodynamics

From Tools in Symplectic and Poisson Geometry to J.-M. Souriau’s Theories of Statistical Mechanics and Thermodynamics

I present in this paper some tools in symplectic and Poisson geometry in view of their applications in geometric mechanics and mathematical physics. After a short discussion of the Lagrangian an Hamiltonian formalisms, including the use of symmetry groups, and a presentation of the Tulczyjew’s isomo...

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Bibliographic Details
Main Author: Charles-Michel Marle
Format: Article
Language:English
Published: MDPI AG 2016-10-01
Series:Entropy
Subjects:
Lagrangian formalism
Hamiltonian formalism
symplectic manifolds
Poisson structures
symmetry groups
momentum maps
thermodynamic equilibria
generalized Gibbs states
Online Access:http://www.mdpi.com/1099-4300/18/10/370

Internet

http://www.mdpi.com/1099-4300/18/10/370

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