Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach

Frangois Gay-Balmaz*, Hiroaki Yoshimura

*この研究の対応する著者

研究成果査読

抄録

Motivated by compartmental analysis in engineering and biophysical systems, we present a variational framework for the nonequilibrium thermodynamics of systems involving both distributed and discrete (finite dimensional) subsystems by specifically using the ideas of interconnected systems. We focus on the process of non-isothermal diffusion and show how the resulting form of the entropy equation naturally yields phenomenological expressions for the diffusion and entropy fluxes between two compartments, which results in generalized forms of Robin type interface conditions.

本文言語English
ページ(範囲)68-73
ページ数6
ジャーナルIFAC-PapersOnLine
55
18
DOI
出版ステータスPublished - 2022 7月 1
イベント4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022 - Montreal, Canada
継続期間: 2022 7月 252022 7月 27

ASJC Scopus subject areas

  • 制御およびシステム工学

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