Yoshimura, Hiroaki (Waseda University), Gay-Balmaz, François (Ecole Normale Supérieure de Paris)

Hamiltonian Variational Formulation for Nonequilibrium Thermodynamics of Simple Closed Systems

Scheduled for presentation during the Regular Session "Nonequilibrium Thermodynamics" (WeS1M), Wednesday, July 27, 2022, 10:20−10:40, Lassonde M-2103

IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, July 24-27, 2022 , Montreal, Canada

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

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.