Monte Carlo study of the universal area distribution of clusters in the honeycomb O(n) loop model

(整期优先)网络出版时间:2012-07-17
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Weinvestigatetheareadistributionofclusters(loops)inthehoneycombO(n)loopmodelbymeansofthewormalgorithmwithn=0.5,1,1.5,and2.Atthecriticalpoint,thenumberofclusters,whoseenclosedareaisgreaterthanA,isproportionaltoA-1withaproportionalityconstantC.WeconfirmnumericallythatCisuniversal,anditsvalueagreeswellwiththepredictionsbasedontheCoulombgasmethod.