玻璃化转变的统一模型理论 3.玻璃化转变中第二维里系数的不动点

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1、http://www.paper.edu.cnUnifiedmodeltheoryoftheglasstransition：3.FixedpointofsecondvirialcoefficientsintheglasstransitionWuJialinCollegeofMaterialScienceandEngineering,DonghuaUniversity，Shanghai,PRC（200051）E-mail：jlwu@dhu.edu.cnAbstractClassicalthermodynamictheorystill

2、holdstrueinsubsystemthatisapercolationconnectedby8ordersofself-similar2-body-3-bodycouplingclusters.Thefixedpoint,B2*≡3/8,fortheclustersofdifferentsize,existinginreducedsecondVirialcoefficientshasbeenprovedbyscalingtheoryinpercolationfield.Itisshownthat,ifB2*≡3/8iscom

3、binedwithB3*≡5/8,thepotentialsof2-body-3-bodycouplingclusters,incriticallocalclustergrowthphasetransition,balancethekineticenergyintheglasstransition.Itisalsoprovedthattheglasstransitioncorrespondstotheregimeinwhichthechemicalpotentialsinallsubsystemsholdzero.Keywords

4、：Glasstransition，2-body-3-bodycouplingclusters，reducedsecondVirialcoefficients，fixedpoint，percolation1.IntroductionTheconfluenceofboththethermodynamicandthekineticdimensionsoftheliquid↔glasstransitionhaspresentedoneofthemostformidableproblemsincondensedmatterphysics[1

5、,2].Inthepreviouspaper[3],atheoreticalframeworkoftheintrinsic8ordersof2-Dmosaicgeometricstructureshasbeenproposed,fromwhichmanycurrently-prevalenttheoriesandexplanationontheglasstransitioncanbeinvoluntarilydeduced.Furthermore,thepaperofFixedpointfortheLennard-Jonespot

6、entialsintheglasstransition[4]alsohasprovidedanindependenttestificationthatthereareonly8ordersofself-similarhard-spheresintheglasstransition.Thepaper[4]moreoverhasprovedthat(a)theoriginandtransferofinterfaceexcitationintheglasstransitioncomeofthebalanceeffectbetweense

7、lf-similarLennard-Jones(L-J)potentialfluctuationandgeometricphasepotentialfluctuation;(b)auniversalbehavior:twoorthogonaldegeneratestates,thefastreducedgeometricphasefactor3/8andtheslowreducedgeometricphasefactor5/8,isaccompaniedwiththeappearanceofeachorder2-Dsymmetri

8、calinterfaceexcitationclosedloop(SIECL)intheglasstransition.Thesumofthetwodegeneratereducedphasefactorsisexactlyequalto1.The