Dirac Structures in Thermodynamics of Non-simple Systems

Hiroaki Yoshimura*, François Gay-Balmaz

*この研究の対応する著者

研究成果: Conference contribution

抄録

We present the Dirac structures and the associated Dirac system formulations for non-simple thermodynamic systems by focusing upon the cases that include irreversible processes due to friction and heat conduction. These systems are called non-simple since they involve several entropy variables. We review the variational formulation of the evolution equations of such non-simple systems. Then, based on this, we clarify that there exists a Dirac structure on the Pontryagin bundle over a thermodynamic configuration space and we develop the Dirac dynamical formulation of such non-simple systems. The approach is illustrated with the example of an adiabatic piston.

本文言語English
ホスト出版物のタイトルGeometric Science of Information - 5th International Conference, GSI 2021, Proceedings
編集者Frank Nielsen, Frédéric Barbaresco
出版社Springer Science and Business Media Deutschland GmbH
ページ918-925
ページ数8
ISBN(印刷版)9783030802080
DOI
出版ステータスPublished - 2021
イベント5th International Conference on Geometric Science of Information, GSI 2021 - Paris, France
継続期間: 2021 7 212021 7 23

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)
12829 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Conference

Conference5th International Conference on Geometric Science of Information, GSI 2021
国/地域France
CityParis
Period21/7/2121/7/23

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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