HAL CCSD
Hamiltonian variational formulation for nonequilibrium thermodynamics of simple closed systems
Yoshimura, Hiroaki
Gay-Balmaz, François
École normale supérieure - Paris (ENS-PSL) ; Université Paris sciences et lettres (PSL)
Centre National de la Recherche Scientifique (CNRS)
International audience
ISSN: 2405-8963
IFAC-PapersOnLine
Elsevier
hal-03872244
https://ens.hal.science/hal-03872244
https://ens.hal.science/hal-03872244
IFAC-PapersOnLine, 2022
ARXIV: 2204.00730
info:eu-repo/semantics/altIdentifier/arxiv/2204.00730
en
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
info:eu-repo/semantics/article
Journal articles
In this paper, we develop a Hamiltonian variational formulation for the nonequilibrium thermodynamics of simple adiabatically closed systems that is an extension of Hamilton's phase space principle in mechanics. We introduce the Hamilton-d'Alembert principle for thermodynamic systems by considering nonlinear nonholonomic constraints of thermodynamic type. In particular, for the case in which the given Lagrangian is degenerate, we construct the Hamiltonian by incorporating the primary constraints via Dirac's theory of constraints. We illustrate our Hamiltonian variational formulation with some examples of systems with friction, with internal matter transfer as well as with chemical reactions.
2022-09-02