TY - JOUR
T1 - Non-isothermal diffusion in interconnected discrete-distributed systems
T2 - 4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, TFMST 2022
AU - Gay-Balmaz, Frangois
AU - Yoshimura, Hiroaki
N1 - Funding Information:
H.Y. is partially supported by Grants-in-Aid for Scientific Research (A) (17H01097), Waseda University Research Projects (SR 2021C-134, SR 2021R-014, SR 2021C-518), JST CREST (JP-MJCR1914), and the MEXT "Top Global University Project".
Publisher Copyright:
Copyright © 2022 The Authors.
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
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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 -