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  • 标题:Internal Entropy Production as a Lyapunov Function for Thermal Equilibrium in Irreversible Multiphase Systems
  • 本地全文:下载
  • 作者:Aarón Romo-Hernandez ; Nicolas Hudon ; B. Erik Ydstie
  • 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:27-32
  • DOI:10.1016/j.ifacol.2022.08.025
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThermodynamics has served as a framework to establish physics-based criteria for the stabilization, control and optimization of process systems. In this article, we establish conditions for the internal entropy production rate to characterize the stability properties of thermal equilibrium in irreversible multiphase systems. In particular, in Theorem 1, we show how, as a multiphase system evolves towards equilibrium, internal entropy production decreases monotonically in time for a particular class of multiphase systems. Being positive semi-definite and having a semi-negative definite time derivative, internal entropy production is thus a Lyapunov function that characterizes the stability of thermal equilibrium in multiphase irreversible systems.
  • 关键词:KeywordsNon-equilibrium thermodynamicsMultiphase systemsLyapunov stabilityInternal entropy production
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