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1、Non-EquilibriumSystemsandIrreversibleProcessesAdventuresinAppliedTopologyVol.1Non-EquilibriumThermodynamicsfromaPerspectiveofContinuousTopologicalEvolution.R.M.KiehnEmeritusProfessorofPhysicsUniversityofHoustonDecember5,20062PrintonDemandbookspublishedbyLuluEnterprises,Inc.3131RDUCenter,Suite210,M
2、orrisville,NC27560Seehttp://www.lulu.com/kiehn°cCopyrightCSDCINC.2002-2006ISBN978-1-84728-193-7SecondEditionCONTENTS0.1Preface..................................110.2PointsofDeparture............................120.3Results...................................140.4MonographSiteMap....................
3、.......16IThermodynamicsfromatopologicalperspective191Non-EquilibriumThermodynamics211.1FromtheTopologicalperspectiveofContinuousTopologicalEvolution211.2Appliedtopologyversusappliedgeometry...............261.3TopologicalUniversality.........................271.4FundamentalAxiomsandNotableResults.
4、..............281.4.1Axioms..............................281.4.2NotableResults..........................291.5Topologicalpropertiesvs.Geometricalproperties...........321.6Pfa?TopologicalDimension.......................341.6.1ThePfa?Sequence........................341.6.2Eigendirection?eldsofexterio
5、r2-forms:Vectorsvs.Spinors.371.7EvolutionaryInvariants..........................381.7.1DeformationInvariantsasTopologicalProperties.......381.7.2AbsoluteIntegralInvariants...................391.7.3RelativeIntegralInvariants...................401.7.4HolderNorms,PeriodIntegralsandTopologicalQuantiza
6、tion411.8UniqueContinuousEvolutionaryProcesses...............421.9TheArrowofTime............................462TopologicalThermodynamics492.1ContinuousTopologicalEvolutionandtheFirstLaw.........492.1.1Cartan’sMagicFormula.....................492.1.2Anelectromagneticexample...................502.2T
7、hermodynamicSystems.........................522.2.1ApplicationsofthePfa?TopologicalDimension........522.2.2PhysicalSystems:Equilibrium,Isolated,ClosedandOpen..534CONTENTS2.2.3EquilibriumversusNon-EquilibriumSyste
