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1、ThispageintentionallyleftblankPATTERNFORMATIONANDDYNAMICSINNONEQUILIBRIUMSYSTEMSManyexcitingfrontiersofscienceandengineeringrequireunderstandingofthespa-tiotemporalpropertiesofsustainednonequilibriumsystemssuchasfluids,plasmas,reactinganddiffusingchemicals,cryst
2、alssolidifyingfromamelt,heartmuscle,andnetworksofexcitableneuronsinbrains.Thisintroductorytextbookforgraduatestudentsinbiology,chemistry,engineer-ing,mathematics,andphysicsprovidesasystematicaccountofthebasicsciencecommontothesediverseareas.Thisbookprovidesacar
3、efulpedagogicalmotivationofkeyconcepts,discusseswhydiversenonequilibriumsystemsoftenshowsimilarpatternsanddynamics,andgivesabalanceddiscussionoftheroleofexperiments,simulation,andanalytics.Itcontainsnumerousillustrativeworkedexamples,andover150exercises.Thisboo
4、kwillalsointerestscientistswhowanttolearnabouttheexperi-ments,simulations,andtheorythatexplainhowcomplexpatternsforminsustainednonequilibriumsystems.MichaelCrossisaProfessorofTheoreticalPhysicsattheCaliforniaInsti-tuteofTechnology,USA.Hisresearchinterestsareinn
5、onequilibriumandnonlinearphysicsincludingpatternformation,chaostheory,nanomechanicalsystems,andcondensedmatterphysics,particularlythetheoryofliquidandsolidhelium.HenryGreensideisaProfessorintheDepartmentofPhysicsatDukeUniversity,USA.Hehascarriedoutresearchincon
6、densedmatterphysics,plasmaphysics,nonequilibriumpatternformation,andtheoreticalneurobiology.Heisalsoinvolvedwithoutreachprogramstostimulateinterestinscienceandphysicsatjuniorhighschoolandhighschoollevels.“ThisbookbyCrossandGreensidepresentsacomprehensiveintrodu
7、ctiontoanimportantareaofnaturalscience,andassemblesinonevolumetheessentialcon-ceptual,theoretical,andexperimentaltoolsaseriousstudentwillneedtoobtainamodernunderstandingofpatternformationoutsideofequilibrium.Themasterful50-pageIntroductionlaysouttheessentialque
8、stionsandprovidesmotivationtothereadertoexplorethesubsequentchapters,beginningwithsimpleideasandgrowingprogressivelyinmathematicalsophisticationandphysicaldepth.Carefulatten
