Back to Search
Start Over
Hamiltonian thermodynamics on symplectic manifolds
- Publication Year :
- 2024
-
Abstract
- We describe a symplectic approach to thermodynamics in which thermodynamic transformations are described by Hamiltonian dynamics on thermodynamic spaces. By identifying the spaces of equilibrium states with Lagrangian submanifolds of a symplectic manifold, we construct a Hamiltonian description of thermodynamic processes where the space of equilibrium states of a system in a certain ensemble is the level set on which the Hamiltonian takes a constant value. In particular, we work out two explicit examples involving the ideal gas. Finally, we describe a Hamiltonian approach towards constructing maps between related thermodynamic systems, e.g., the ideal (non-interacting) gas and interacting gases.<br />Comment: v1: Preliminary version
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.04622
- Document Type :
- Working Paper