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

François Gay-Balmaz; Hiroaki Yoshimura

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arXiv · 2204.02818

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

François Gay-Balmaz·Hiroaki Yoshimura

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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.

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François Gay-Balmaz, Hiroaki Yoshimura. 2022-04-02. Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach. https://arxiv.org/abs/2204.02818

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