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Communication Dans Un Congrès Année : 2021

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

Résumé

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.
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Dates et versions

hal-03327546 , version 1 (04-10-2021)

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Judy Najnudel, Thomas Hélie, David Roze, Rémy Muller. From statistical physics to macroscopic port-Hamiltonian Systems: A roadmap. 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Oct 2021, Berlin, Germany. ⟨10.1016/j.ifacol.2021.11.057⟩. ⟨hal-03327546⟩
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