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

Frangois Gay-Balmaz; Hiroaki Yoshimura

doi:10.1016/j.ifacol.2022.08.032

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

Frangois Gay-Balmaz
, Hiroaki Yoshimura

Waseda University

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Pages (from-to)	68-73
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	55
Issue number	18
DOIs	https://doi.org/10.1016/j.ifacol.2022.08.032
Publication status	Published - 1 Jul 2022
Event	4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022 - Montreal, Canada Duration: 25 Jul 2022 → 27 Jul 2022

Keywords

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

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10.1016/j.ifacol.2022.08.032

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title = "Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach",

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.",

keywords = "Lagrangian systems, Variational formulation, distributed systems, interconnected systems, non-isothermal diffusion, nonequilibrium thermodynamics",

author = "Frangois Gay-Balmaz and Hiroaki Yoshimura",

note = "Publisher Copyright: Copyright {\textcopyright} 2022 The Authors.; 4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022 ; Conference date: 25-07-2022 Through 27-07-2022",

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T2 - 4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022

AU - Gay-Balmaz, Frangois

AU - Yoshimura, Hiroaki

PY - 2022/7/1

Y1 - 2022/7/1

N2 - 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.

AB - 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.

KW - Lagrangian systems

KW - Variational formulation

KW - distributed systems

KW - interconnected systems

KW - non-isothermal diffusion

KW - nonequilibrium thermodynamics

UR - https://www.scopus.com/pages/publications/85142294940

U2 - 10.1016/j.ifacol.2022.08.032

DO - 10.1016/j.ifacol.2022.08.032

M3 - Conference article

AN - SCOPUS:85142294940

SN - 2405-8963

VL - 55

SP - 68

EP - 73

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 18

Y2 - 25 July 2022 through 27 July 2022

ER -

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

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Keywords

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