@inproceedings{54eff820230c4945ac3efbfb01c9f351,
title = "Dirac Structures in Thermodynamics of Non-simple Systems",
abstract = "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.",
keywords = "Adiabatic piston, Dirac structures, Non-simple systems, Thermodynamics",
author = "Hiroaki Yoshimura and Fran{\c c}ois Gay-Balmaz",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 5th International Conference on Geometric Science of Information, GSI 2021 ; Conference date: 21-07-2021 Through 23-07-2021",
year = "2021",
month = jan,
day = "1",
doi = "10.1007/978-3-030-80209-7\_98",
language = "English",
isbn = "9783030802080",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "918--925",
editor = "Frank Nielsen and Fr{\'e}d{\'e}ric Barbaresco",
booktitle = "Geometric Science of Information - 5th International Conference, GSI 2021, Proceedings",
}