From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems

François Gay-Balmaz, Hiroaki Yoshimura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A variational formulation for nonequilibrium thermodynamics was recently proposed in [7, 8] for both discrete and continuum systems. This formulation extends the Hamilton principle of classical mechanics to include irreversible processes. In this paper, we show that this variational formulation yields a constructive and systematic way to derive from a unified perspective several bracket formulations for nonequilibrium thermodynamics proposed earlier in the literature, such as the single generator bracket and the double generator bracket. In the case of a linear relation between the thermodynamic fluxes and the thermodynamic forces, the metriplectic or GENERIC brackets are recovered. A similar development has been presented for continuum systems in [6] and applied to multicomponent fluids.

Original languageEnglish
Title of host publicationGeometric Science of Information - 4th International Conference, GSI 2019, Proceedings
EditorsFrank Nielsen, Frédéric Barbaresco
PublisherSpringer
Pages209-217
Number of pages9
ISBN (Print)9783030269791
DOIs
Publication statusPublished - 2019
Event4th International Conference on Geometric Science of Information, GSI 2019 - Toulouse, France
Duration: 2019 Aug 272019 Aug 29

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11712 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Geometric Science of Information, GSI 2019
CountryFrance
CityToulouse
Period19/8/2719/8/29

Keywords

  • Bracket formulation
  • Nonequilibrium thermodynamics
  • Variational formulation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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