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1、三维逾渗模型的同时拟合研究徐枭I,王俊峰1,2,吕建平3,邓友金I1中国科学技术大学合肥微尺度物质科学国家实验室及近代物理系，合肥2300262合肥工业大学电子科学与应用物理学院，合肥2300093中国矿业大学物理系，徐州221116摘要：我们模拟了一些三维格子上的键逾渗和点逾渗模型，包括钻石格，体心立方格，和面心立方格。与简单立方格上[Phys.Rev.£87052107(2013)]所观察到的现象相似,相比于基于集团尺寸分布的无量纲鼠，某些wrapping概率展示了更弱的有限尺度修正以及对偏离逾渗阈值0的敬感性，因而提供了一种确定pc的强有力的手段。我们同时拟合了各个模型的wrap
2、ping概率的数值数据，以便于普适参数在拟合中被前述模型所共享，从而显著地提鳥了对B的估计精度。关键词：逾渗阈值，临界指数，同时拟合，有限尺寸标度中图分类号：0414.2Simultaneousanalysisofthree-dimensionalpercolationmodelsXUXiaoi,WANGJun-Fengi.2,LVJian-Pings,DengYou-Jim'HefeiNationalLaboratoryforPhysicalSciencesatMicroscaleandDepartmentofModernPhysics,UniversityofScienceandT
3、echnologyofChina,Hefei2300262SchoolofElectronicScienceandAppliedPhysics,HefeiUniversityofTechnology,Hefei230009'DepartmentofPhysics,ChinaUniversityofMiningandTechnology,Xuzhou221116Abstract:Wcsimulatethebondandsitepercolationmodelsonseveralthree-dimensionallattices,includingthediamond,body-ccntc
4、rcdcubic,andfacc-ccntcrcdcubiclattices・Asonthesimple-cubiclattice[Phys.Rev.E,87052107(2013)],itisobservedthatincomparisonwithdimensionlessratiosbasedoncluster-sizedistribution,certainwrappingprobabilitiesexhibitweakerfinite-sizecorrectionsandaremoresensitivetothedeviationfrompercolationthreshold
5、p.andthusprovideapowerfulmeansfordeterminingp“Weanalyzethenumericaldataofthewrappingprobabilitiessimultaneouslysuchthatuniversalparametersaresharedbytheaforementionedmodels,andthussignificantlyimprovedestimatesofpcareobtained・Keywords:percolationthreshold,criticalexponents,simultaneousfits,finit
6、e-sizescaling柴金项目：TheSpecializedResearchFundfortheDoctoralProgramofHigherEducationunderGrantNo.20103402110053,NSFCunderGrantNo.91024026.11275185and11147013.作者简介：XuXiao(I988-),male,MasterDegreeCandidate.Correspondenceauthor：DengYou-Jin(1974-),male,professor,majorresearchdirection:statisticalphysi
7、cs.0IntroductionPercolationisageometricmodelwhichinvolvestherandomoccupationofsitesoredgesofaregularlattice,andwasfirstintroducedbyBroadbentandHarmmersley[1].Asacdi^ierstoneofthetheoryofcriticalphenomena[2]andacentraltopicin
