From statistical physics to macroscopic port-Hamiltonian Systems: A roadmap

Authors

Judy Najnudel, Thomas Hélie, David Roze, Rémy Müller

Abstract

This paper addresses the power-balanced modeling of physical systems with numerous degrees of freedom. The proposed approach combines statistical physics and port-Hamiltonian formulation, to produce macroscopic power balanced systems with reduced complexity. Thermodynamic variables are explicitly taken into account in the modeling to ensure thermodynamic consistency. The method is illustrated on two applications: an ideal gas in a thermostat, and a ferromagnet in a thermostat.

Keywords

physical modeling; statistical physics; thermodynamics; port-Hamiltonian systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 70–75
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.057
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Najnudel_2021,
  title={{From statistical physics to macroscopic port-Hamiltonian Systems: A roadmap}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.057},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Najnudel, Judy and Hélie, Thomas and Roze, David and Müller, Rémy},
  year={2021},
  pages={70--75}
}

Download the bib file

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