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1、Study on the Phase Equilibria of Hard Core Asakura-OosawaChineseJ.Chem.Eng.,12(4)463—469(2004)StudyonthePhaseEquilibriaofHardCoreAsakura-0osawaFluidswithRenormalization-groupTheoryFuDong(付东)DepartmentofEnvironmentalEngineering,NorthChinaElectricPowerUniversity,Baoding071003,ChinaAbstr
2、actAnanalyticalequationofstate(EoS1forhardcoreAsakura-Oosawa(AO)fluidisestablishedbycombiningtheAOpotential,thefirst—orderperturbationtheoryandtheradialdistributionfunction(RDF1forthehardspherefluid.Thephaseequilibriaarestudiedbyusingtherenormalization—groupfRG1theory.Theobtainedresul
3、tsagreewellwiththesimulationdata.InvestigationshowsthattheattractiverangeparameterplaysanimportantroleinthephaseequilibriaforAOfluid.KeywordsAsakura-Oosawafluid,equationofstate,phaseequilibria,renormalization—grouptheory1INTRoDUCTIoNInrecentyears.interestsincreasedrapidlyinthephasetra
4、nsitionsforcolloidalsystems.Manyinves—tigationshavebeenfocusedonthephasetransitionsforcolloidalmodelsystems,wherethereareonlyun—chargedcolloidalparticlesandwater[1一.Forthesemodelsystems,thehard—coreYukawaEOSfequa—tionofstate1_8.canoftenleadtosatisfactoryresults.However,thecolloidalsys
5、temsinthepresenceofnon—adsorbingpolymersaremuchmorecomplexthanthemodelsystems.Studyonsuchsystemsismoreinter—estingandchallenging.Experimentalresultsandtheoreticalstudiesformixturesofsphericalcolloidalparticlesandnon—adsorbingpolymersshowveryinterestingbehaviorwhenthesizeofpolymermolec
6、ulesisreduced[1~,11】.Insuchcolloid—polymermixtures,thephasediagramisindeeddeterminedbytheratiooftheradiusofgY—rationofpolymermoleculestotheradiusofcolloidalparticles.Forsufficiently1argevaluesofthisratio.thereisathree—phasecoexistentregionofcolloidalgas,colloidalliquidandcolloidalcrys
7、talphases,whereasforsmallvaluesofthisratio,theadditionofthepoly—meronlyexpandsthefluid—crystalregionofthephasediagramforthepurecolloidalsystem.TheAsakura—OosawafAO)model[2,13[isfre—quentlyusedtorepresenttheinteractionbetweencol—loidalparticlesandpolymermolecules.Accordingtothismodel,c
8、olloi
