A variational perspective on the thermodynamics of non-isothermal reacting open systems

François Gay-Balmaz; Hiroaki Yoshimura

doi:10.1016/j.ifacol.2021.11.055

A variational perspective on the thermodynamics of non-isothermal reacting open systems

François Gay-Balmaz
, Hiroaki Yoshimura

Waseda University

Research output: Contribution to journal › Conference article › peer-review

Abstract

We make a review of the variational formulation of nonequilibrium thermodynamics as an extension of the Hamilton principle and the Lagrange-d'Alembert principle of classical mechanics. We then focus on the case of open systems that include the power exchange due to heat and matter transfer, with special emphasis on reacting systems which are very important in biological science.

Original language	English
Pages (from-to)	58-63
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	54
Issue number	19
DOIs	https://doi.org/10.1016/j.ifacol.2021.11.055
Publication status	Published - 1 Jan 2021
Event	7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Berlin, Germany Duration: 11 Oct 2021 → 13 Oct 2021

Keywords

Chemical reactions
Lagrangian formulation
Open systems
Thermodynamics
Variational principles

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10.1016/j.ifacol.2021.11.055

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abstract = "We make a review of the variational formulation of nonequilibrium thermodynamics as an extension of the Hamilton principle and the Lagrange-d'Alembert principle of classical mechanics. We then focus on the case of open systems that include the power exchange due to heat and matter transfer, with special emphasis on reacting systems which are very important in biological science.",

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N2 - We make a review of the variational formulation of nonequilibrium thermodynamics as an extension of the Hamilton principle and the Lagrange-d'Alembert principle of classical mechanics. We then focus on the case of open systems that include the power exchange due to heat and matter transfer, with special emphasis on reacting systems which are very important in biological science.

AB - We make a review of the variational formulation of nonequilibrium thermodynamics as an extension of the Hamilton principle and the Lagrange-d'Alembert principle of classical mechanics. We then focus on the case of open systems that include the power exchange due to heat and matter transfer, with special emphasis on reacting systems which are very important in biological science.

KW - Chemical reactions

KW - Lagrangian formulation

KW - Open systems

KW - Thermodynamics

KW - Variational principles

U2 - 10.1016/j.ifacol.2021.11.055

DO - 10.1016/j.ifacol.2021.11.055

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T2 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021

Y2 - 11 October 2021 through 13 October 2021

ER -

A variational perspective on the thermodynamics of non-isothermal reacting open systems

Abstract

Keywords

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