Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 170, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2021.104365
Keywords
Geometric thermodynamics; Symplectic and contact geometry; Homogeneous Hamiltonian vector field; Gibbs-Duhem relation
Categories
Ask authors/readers for more resources
The contact-geometric formulation of classical thermodynamics distinguishes between the energy and entropy representation, which can be resolved by using homogeneous coordinates for the intensive variables. This leads to a geometric formulation on the cotangent bundle of the manifold of extensive variables, where all geometric objects are homogeneous in the cotangent variables. The resulting geometry based on the Liouville form is studied in depth, including additional homogeneity with respect to the extensive variables within the same geometric framework.
In the contact-geometric formulation of classical thermodynamics distinction is made between the energy and entropy representation. This distinction can be resolved by taking homogeneous coordinates for the intensive variables. It results in a geometric formulation on the cotangent bundle of the manifold of extensive variables, where all geometric objects are homogeneous in the cotangent variables. The resulting geometry based on the Liouville form is studied in depth. Additional homogeneity with respect to the extensive variables, corresponding to the classical Gibbs-Duhem relation, is treated within the same geometric framework. (C) 2021 The Author(s). Published by Elsevier B.V.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available