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1、J.C.Wei,etatSci.China-Phys.Mech.Astron.January(2017)Vol.60No.1014621-2Figure1providesthelociofPTsofdifferenttypesobWhilebondpercolationboundaries(c=1)collapsetothattainedbysimulation.ThecontactandCKpercolationboundforBaxterstickymodelonphasediagram,theCKpercolaariesfordifferentv
2、aluesofAshowdispersion(Figure1(a)).tionboundaries(c=1/2)withdifferentinteractionrangesForinstance,thepercolationboundariesforcontactclustersshowdispersion.ThisindicatesthescalingbehaviorofPTsisareverydispersedwhenB*2>0.0.AtfixedB*2,asAdeverysensitivetothevalueofc.Interestingly,b
3、yanalyzingthecreasesfrom1.05to1.01,PTbecomeslargerforcontactandlociofPTsforothervaluesofc(e.g.c=1.5andc=0.7),smallerforCKcase.Nevertheless,ifXisfurtherdecreasedwefindthescalingonlytakesplacewhenc=1.Onepostoinfinitesimallysmall,bothcontactandCKPTsofSRSWsibleexplanationisthattheef
4、fectiveprobabilityofbondingsystemreducetothatforBaxterstickymodel,asshowninfortherealbond-on/〇fFsystem[11]equals1-exp(U/kT),Figure1(a)bythedashedblueline.Inourcalculation,thewhichisexactlythesameastheformationprobabilityofthecriticalprobabilityforbothcontactandCKpercolationisinf
5、ictitiousbondsforbondpercolation.dependentofthevalueofandA.ThecorrelationlengthNotethatthepercolationboundariesforlatticegasmodelexponentforcontactandCKpercolationisalsoindependentwithvariedcwerepreviouslyinvestigated[6,12].ItwasofthevalueofB*2,butslightlydependentonX.estimatedt
6、hattheHillpercolationboundary,whichstartsatForcomparison,thelociofbondandHillPTsareplottedthecriticalpoint,shouldbeveryclosetotheCKpercolationtogetherinFigure1(b).Quitedifferentfromthecaseofconboundary(withc=1/2)forthelatticegasmodel.HowtactPTs,whicharedispersed,thelociofbondand
7、HillPTsever,our3DofF-latticesimulationsclearlydemonstratethatwithdifferentA{A=1.01andA=1.05)collapseontothethelociofHillPTsarequiteclosetobondPTs,bothofwhichpercolationboundaryforBaxterstickymodel,whichconshowscalingandcollapsetothatforBaxterstickymodel.Infirmswiththeextendedlaw
8、ofcorrespondingstate.Noteaddition,thebondpercol
