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1、HiromiYamakawaModernTheoryofPolymerSolutionsHarper’sChemistrySeriesUndertheEditorshipofStuartAlanRiceModernTheoryofPolymerSolutionsProfessorEmeritusHiromiYamakawaDepartmentofPolymerChemistryKyotoUniversityKyoto606-8501,JapanElectronicEditionLaboratoryofPolymerMolecularScienc
2、eDepartmentofPolymerChemistryKyotoUniversityKyoto606-8501,JapanPrefacetotheElectronicEditionIthasbeenjustthirtyyearssincethisvolume,ModernTheoryofPolymerSolutions,waspublishedbyHarper&Row,Publishers.Itisnowoutofprintbutisstillinsomedemand.Furthermore,itisalsoanintroductionto
3、theauthor’snewbook,HelicalWormlikeChainsinPolymerSolutions,publishedbySpringer-Verlagin1997,althoughsomepartsofitarenowtoooldandclassicalandhaveonlythesig-nificanceofhistoricalsurvey.Underthesecircumstances,theauthorapprovedofthepreparationofthiselectroniceditionwithoutrevisi
4、onattheLaboratoryofPolymerMolecularScience,DepartmentofPoly-merChemistry,KyotoUniversity.Onthatoccasion,however,heat-temptedhiseffortstocorrecterrorsasmuchaspossible.Finally,itisapleasuretothankProf.T.Yoshizaki,Mrs.E.Hayashi,andhisothercollaboratorsforpreparingthiselectronice
5、dition.HiromiYamakawaKyotoJuly2001ModernTheoryofPolymerSolutionsCopyright°c1971byHiromiYamakawaPrintedintheUnitedStatesofAmerica.Allrightsreserved.Nopartofthisbookmaybeusedorreproducedinanymannerwhateverwithoutwrittenpermissionexceptinthecaseofbriefquotaionsembodiedincritica
6、larticlesandreviews.ForinformationaddressHarper&Row,Publishers,Inc.,49East33rdStreet,NewYork,N.Y.10016.StandardBookNumber:06-047309-6LibraryofCongressCatalogCardNumber:71-141173ContentsChapterI.Introduction11.SurveyoftheField12.ScopeandIntroductoryRemarks3References4ChapterI
7、I.StatisticsofIdealPolymerChains:Random-FlightProblems53.Introduction54.TheMarkoffMethodfortheGeneralProblemofRandomFlights85.DistributionoftheEnd-to-EndDistanceandRelatedQuantities105a.ExactExpressionfortheBondProbability115b.ApproximateExpressionfortheBondProbability166.The
8、Wang-UhlenbeckMethodforMultivariateGaussianDistributions187.Distributionofa