Gay-Balmaz, François (Ecole Normale Supérieure de Paris), Yoshimura, Hiroaki (Waseda University)

Non-Isothermal Diffusion in Interconnected Discrete-Distributed Systems: A Variational Approach

Scheduled for presentation during the Regular Session "Nonequilibrium Thermodynamics" (WeS1M), Wednesday, July 27, 2022, 09:40−10:00, Lassonde M-2103

IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, July 24-27, 2022 , Montreal, Canada

This information is tentative and subject to change. Compiled on April 18, 2024

Abstract

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.