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

Frangois Gay-Balmaz*, Hiroaki Yoshimura

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)68-73
Number of pages6
Issue number18
Publication statusPublished - 2022 Jul 1
Event4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022 - Montreal, Canada
Duration: 2022 Jul 252022 Jul 27


  • Lagrangian systems
  • Variational formulation
  • distributed systems
  • interconnected systems
  • non-isothermal diffusion
  • nonequilibrium thermodynamics

ASJC Scopus subject areas

  • Control and Systems Engineering


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