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An Interval-valued Approach to Calculation ofNonequilibriumThermodynamics with Imprecise Information
作者姓名:XU Jiuping  LUO Jiuli
作者单位:Department of Chemistry,Sichuan University,Chengdu 610064,China
摘    要:1IntroductionThemoderndevelopmentofthermodynamicsmotivatedbyGlansdorff,Casioer,Prigogine,deGroot,Callen,Meanner,Kalchalskyandothersmadeitpossibletoreplacetheinequalitiesforthenonequilibriumstateandtheirreversibeprocessesinclassicalthermodynamicsbyequalitiesbasedonthesocalledlocalequilibriumpostulateandthisledtotheconsistentdisciplineofnonequilibriumthermodynamics(NETH).Thisdisciplineisabletointerpretallspontaneousdynamoicprocessesofmacroscopicnature.TheuniversalityorNETHlawsjustifiesthat…


An Interval-valued Approach to Calculation ofNonequilibriumThermodynamics with Imprecise Information
XU Jiuping, LUO Jiuli.An Interval-valued Approach to Calculation ofNonequilibriumThermodynamics with Imprecise Information[J].Journal of Systems Science and Systems Engineering,1999(1).
Authors:XU Jiuping  LUO Jiuli
Abstract:The research of the imprecision of a nonequilibrium thermodynamic system is justifiedby the structural and parametric uncertainties of such systems. The paper gives an interval-valuedformulation of the phenomenological equations and shows a realistic approach for studying the entropyproduction in Physical systems, the time trajectories of chemical reactions, etc. Using algorithms derivedfor special reaction systems, bundles of time trajectories with prescribed boundary possibility measuresare calculated.
Keywords:interval-valued number  measure of imprecision  nonequilibrium thermodynamics  imprecise dynamic systems
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