Dirac structures in nonequilbrium thermodynamics

Hiroaki Yoshimura, François Gay-Balmaz

    研究成果: Conference contribution

    抄録

    In this paper, we show that the evolution equations for nonequilibrium thermodynamics can be formulated in terms of Dirac structures on the Pontryagin bundle P =TQ ⊕ T*Q, where Q = Q ×s R denotes the thermodynamic configuration manifold. In particular, we extend the use of Dirac structures from the case of linear nonholonomic constraints to the case of nonlinear nonholonomic constraints. Such a nonlinear constraint comes from the entropy production associated with irreversible processes in nonequilibrium thermodynamics. We also develop the induced Dirac structure on N=T*Q × R and the associated Lagrange-Dirac and Hamilton-Dirac dynamical formulations.

    元の言語English
    ホスト出版物のタイトルGeometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
    出版者Springer-Verlag
    ページ410-417
    ページ数8
    ISBN(印刷物)9783319684444
    DOI
    出版物ステータスPublished - 2017 1 1
    イベント3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France
    継続期間: 2017 11 72017 11 9

    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)
    10589 LNCS
    ISSN(印刷物)0302-9743
    ISSN(電子版)1611-3349

    Other

    Other3rd International Conference on Geometric Science of Information, GSI 2017
    France
    Paris
    期間17/11/717/11/9

    Fingerprint

    Dirac Structures
    Nonholonomic Constraints
    Non-equilibrium Thermodynamics
    Thermodynamics
    Nonlinear Constraints
    Paul Adrien Maurice Dirac
    Irreversible Processes
    Entropy Production
    Linear Constraints
    Lagrange
    Evolution Equation
    Bundle
    Entropy
    Denote
    Configuration
    Formulation

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Computer Science(all)

    これを引用

    Yoshimura, H., & Gay-Balmaz, F. (2017). Dirac structures in nonequilbrium thermodynamics. : Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings (pp. 410-417). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 10589 LNCS). Springer-Verlag. https://doi.org/10.1007/978-3-319-68445-1_48

    Dirac structures in nonequilbrium thermodynamics. / Yoshimura, Hiroaki; Gay-Balmaz, François.

    Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag, 2017. p. 410-417 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 10589 LNCS).

    研究成果: Conference contribution

    Yoshimura, H & Gay-Balmaz, F 2017, Dirac structures in nonequilbrium thermodynamics. : Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 10589 LNCS, Springer-Verlag, pp. 410-417, 3rd International Conference on Geometric Science of Information, GSI 2017, Paris, France, 17/11/7. https://doi.org/10.1007/978-3-319-68445-1_48
    Yoshimura H, Gay-Balmaz F. Dirac structures in nonequilbrium thermodynamics. : Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag. 2017. p. 410-417. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-68445-1_48
    Yoshimura, Hiroaki ; Gay-Balmaz, François. / Dirac structures in nonequilbrium thermodynamics. Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag, 2017. pp. 410-417 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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