From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems

François Gay-Balmaz, Hiroaki Yoshimura

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトルGeometric Science of Information - 4th International Conference, GSI 2019, Proceedings
編集者Frank Nielsen, Frédéric Barbaresco
出版社Springer
ページ209-217
ページ数9
ISBN(印刷版)9783030269791
DOI
出版ステータスPublished - 2019
イベント4th International Conference on Geometric Science of Information, GSI 2019 - Toulouse, France
継続期間: 2019 8 272019 8 29

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
11712 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Conference

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

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

フィンガープリント 「From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル