摘要
ComplexsystemsconsistingofNagentscanbeinvestigatedfromtheaspectofprincipalfluctuationmodesofagents.Fromthecorrelationsbetweenagents,anN×NcorrelationmatrixCcanbeobtained.TheprincipalfluctuationmodesaredefinedbytheeigenvectorsofC.Nearthecriticalpointofacomplexsystem,weanticipatethattheprincipalfluctuationmodeshavethecriticalbehaviorssimilartothatofthesusceptibity.WiththeIsingmodelonatwo-dimensionalsquarelatticeasanexample,thecriticalbehaviorsofprincipalfluctuationmodeshavebeenstudied.Theeigenvaluesofthefirst9principalfluctuationmodeshavebeeninvesitigated.OurMonteCarlodatademonstratethattheseeigenvaluesofthesystemwithsizeLandthereducedtemperaturetfollowafinite-sizescalingformλn(L,t)=Lγ/νfn(tL~(1/ν)),whereγiscriticalexponentofsusceptibilityandνisthecriticalexponentofthecorrelationlength.Usingeigenvaluesλ1,λ2andλ6,wegetthefinite-sizescalingformofthesecondmomentcorrelationlengthξ(L,t)=Lξ(tL~(1/ν)).Itisshownthatthesecondmomentcorrelationlengthinthetwo-dimensionalsquarelatticeisanisotropic.
出版日期
2016年09月19日（中国期刊网平台首次上网日期，不代表论文的发表时间）
