期刊
JOURNAL OF GEOMETRY AND PHYSICS
卷 170, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.geomphys.2021.104365
关键词
Geometric thermodynamics; Symplectic and contact geometry; Homogeneous Hamiltonian vector field; Gibbs-Duhem relation
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据