Preface.
Introduction:LongFlexibleChains
PartASTATICCONFORMATIONS
IASingleChain
I.1.TheNotionofanIdealChain
I.1.1.Simplerandomwalks
I.1.2.Moregeneralmodelsforidealchains
I.1.3.Idealchainsunderexternalactions
I.1.4.Paircorrelationsinsideanidealchain
I.1.5.Summary
I.2.A"Real"ChaininaGoodSolvent
I.2.1.Themainexpedments
I.2.2.Numericaldataonself-avoidingwalks
I.2.3.Correlationsinsideaswollencoil
I.2.4.Summary
I.3.TheFloryCalculationoftheExponentv
I.3.1.Principles
I.3.2.Chainsareidealabovefourdimensions
I.3.3.WhyistheFierymethodsuccessful?
I.4.ConstrainedChains
I.4.1.Achainundertraction
I.4.2.Squeezingarealchaininatube
IIPolymerMelts
II.1.MoltenChainsAreIdeal
II.1.1.Aself-consistentfieldargument
II.1.2.Screeningindensepolymersystems
II.1.3.Onelongchainamongshorterchains
II.1.4.Mixedchainsversussegregatedchains
II.1.5.Summary61
II.2.MicroscopicStudiesofCorrelationsinMelts
II.2.1.Necessityoflabeledspecies
II.2.2.Thecorrelationhole
II.2.3.Moregeneralsequences
II.2.4.Thecorrelationholeintwodimensions
II.2.5.Mixturesoflabeledandunlabeledchains
II.2.6.Summary67
IIIPolymerSolutionsinGoodSolvents
III.1.TheMeanFieldPicture(Flory-Huggins)
III.1.1.Entropyandenergyinalatticemodel
III.1.2.Lowconcentrations
III.1.3.Osmoticpressures
III.1.4.Critiqueofmeanfieldtheory
III.2.ScalingLawsforAthermalSolvents
III.2.1.Theoverlapthresholdc*
III.2.2.Thediluteregime
III.2.3.Semi-dilutesolutions
III.2.4.Thecorrelationlength
III.2.5.Thenotionofblobs
III.2.6.Correlationfunctions
III.2.7.Screeninginsemi-dilutesolutions
III.3.ConfinedPolymerSolutions
III.3.1.Asemi-dilutesolutionincontactwitharepulsivewall
III.3.2.Asemi-dilutesolutioninacylindricalpore
IVIncompatibilityandSegregation
IV.1.GeneralPrinciplesandQuestions
IV.1.1.Thetrendtowardsegregation
IV.1.2.Casesofpartialcompatibility
IV.1.3.Specificfeaturesofpolymersegregation
IV.2.Polymer-PolymerSystems
IV.2.1.ThermodynamicPrinciples
IV.2.2.Thecoexistencecurveinthesymmetricalcase
IV.2.3.Metastablestatesandthespinodalcurve
IV.2.4.Thecriticalpoint
IV.2.5.Criticalfluctuations
IV.2.6.Absenceofanomalousexponents
IV.3.PolymerPlusPoorSolvent
IV.3.1.Regionsinthephasediagram
IV.3.2.AsinglecoilnearT=O
IV.3.3.Semi-dilutesolutionsatT=e
IV.3.4.Semi-dilutesolutions:crossoverbetweengoodandpoorsolvent
IV.3.5.Vicinityofthecoexistencecurve
IV.4.PolymerPlusPolymerPlusSolvent
IV.4.1.Goodsolventandstrongsegregationfactor
IV.4.2.Goodsolventandweaksegregationfactor
IV.4.3.Thetasolvents
VPolymerGels
V.1.PreparationofGels
V.1.1.Chemicalpathways
V.1.2.Unorthodoxgelationprocesses
V.1.3.Physicalgelation
V.1.4.Stronggelationversusweakgelation
V.1.5.Relationshipbetweenpreparationandpropertiesofgels
V.2.TheSol-GelTransition
V.2.1.Theclassicalpicture
V.2.2.Gelationwithoutsolvent:thepercolationmodel
V.2.3.Largeclustersbelowthegelationthreshold
V.2.4.Gelpropertiesjustabovethreshold
V.2.5.Aquickglanceattheclassicaltheory
V.2.6.Theclassicaltheoryworksinsixdimensions
V.2.7.Thespecialcaseofvulcanization
V.2.8.Dilutioneffects:competitionbetweengelationandprecipitation
V.3.GelsinGoodSolvents
V.3.1.Thec*theorem
V.3.2.Paircorrelationsinthegel
V.3.3.Elasticityofswollengels
V.3.4.Spinodaldecomposition
V.3.5.Summary
PartBDYNAMICS
VIDynamicsofaSingleChain
VI.1.HistoricalBackground
VI.1.1.TheRousemodel
VI.1.2.Weaknessofinternalfrictioneffects
VI.1.3.Critiqueofthemodeconcept
VI.2.DynamicScalinginGoodSolvents
VI.2.1.TheKirkwoodapproximationforchainmobility
VI.2.2.Inelasticscatteringoflight
VI.2.3.Thefundamentalrelaxationtime
VI.2.4.Staticviscosityofdilutesolutions
VI.2.5.Frequencydependenceofviscosities
VI.3.SpecialFlowProblems
VI.3.1.Deformationinstrongextensionalflows
VI.3.2.Dynamicsofachaininsideacylindricalpore
VI.4.ProblemsofInternalFriction
VI.4.1.Threeformsoffriction
VI.4.2.EvidencefortheCerfterm
VI.4.3.OriginoftheCerffriction
VI.4.4.Summary..
VIIMany-ChainSystems:TheRespirationModes
VII.1.Semi-DiluteSolutions
VII.1.1.Longitudinalmodes
VII.1.2.Twodiffusioncoefficients
VII.1.3.Thesedimentationcoefficient
VII.1.5.Cooperativediffusion
VII.1.5.Summary
VII.2.DynamicsnearaCriticalPoint
VII.3.DynamicsofGels
VII.3.1.Longitudinalmodesofswollengels
VII.3.2.Slowmotionsnearthespinodalthreshold
VII.3.3Dynamicsatthescl-geltransition
VIIIEntanglementEffects
VIII.1.DynamicsofMeltsandConcentratedSolutions
VIII.1.1.Rubber-likeandliquid-likebehaviors
VIII.A.2.Elasticmodulusofthetransientnetwork
VIII.1.3.Viscosityandterminaltime
VIII.2.ReptationofaSingleChain
VIII.2.1.Coilstrappedinanetwork
VIII.2.2.Theterminaltime,τt
VIII.2.3.Translationaldiffusion
VIII.2.4.Reptationinswollensystems
VIII.2.5.Reptationofabranchedchain
VIII.3.ConjecturesonPolymerMelts
VIII.3.1.Onelongchaininameltofshorterchains
VIII.3.2.Newtonianviscositiesinahomodispersemelt
VIII.3.3.Behaviorinstrongtransverseshearflows
VIII.3.4.Criticaldynamicsinentangledbinarymixtures
VIII.3.5.Summary
PartCCALCULATIONMETHODS
IXSelf-ConsistentFieldsandRandomPhaseApproximation
IX.1.GeneralProgram
IX.2.Self-ConsistentFields
IX.2.1.Anidealchainunderexternalpotentials
IX.2.2.Situationsofgroundstatedominance
IX.2.3.Self-consistencywithgroundstatedominance
IX.3.TheRandomPhaseApproximationforDenseChains
IX.3.1.Definitionofresponsefunctions
IX.3.2.Responsefunctionsfornoninteractingchains
IX.3.3.Self-consistentcalculationofresponses
XRelationshipsbetweenPolymerStatisticsandCriticalPhenomena
X.1.BasicFeaturesofCriticalPoints
X.1.1.Largecorrelatedregions
X.1.2.Criticalexponentsforaferromagnet
X.1.3.Relations.amongexponents
X.1.4.Correlationfunctions
X.1.5.Thenvectormodel
X.2.TheSingleChainProblem
X.2.1.Thelimitn=0
X.2.2.Themagneticpartitionfunctionexpandedinself-avoidingloops
X.2.3.Spincorrelationsandtheone-chainproblem
X.2.4.Propertiesofself-avoidingwalks
X.3.ManyChainsinaGoodSolvent
X.3.1.ThedesCloiseauxtrick
X.3.2.OverlapconcentrationΦ*andrelatedscalinglaws
X.3.3.Crossoverbetweendiluteandsemi-dilutesolutions
X.3.4.Correlationsinthesolution
X.3.5.Currentextensions
X.3.6.Whatistheorderparameter?
XIAnIntroductiontoRenormalizationGroupIdeas
XI.1.DecimationalongtheChemicalSequence
XI.1.1.Asinglechaininagoodsolvent
XI.1.2.Groupingthemonomersintosubunits
XI.1.3.Iteratingtheprocess
XI.1.4.Existenceofafixedpoint
XI.1.5.Scalinglawforthechainsize
XI.1.6.Freeenergyofasinglechain
XI.1.7.Calculationsnearfourdimensions
XI.2.Applications
XI.2.1.Polyelectrolytes
XI.2.2.Collapseofasinglechain
XI.2.3.Semi-dilutesolutionsandblobs
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