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  • 标题:Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach
  • 本地全文:下载
  • 作者:François Gay-Balmaz ; Hiroaki Yoshimura
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2022
  • 卷号:55
  • 期号:18
  • 页码:68-73
  • DOI:10.1016/j.ifacol.2022.08.032
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractMotivated 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.
  • 关键词:KeywordsVariational formulationLagrangian systemsinterconnected systemsnonequilibrium thermodynamicsdistributed systemsnon-isothermal diffusion
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