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

doi:10.1088/1674-1056/21/7/070211

Abstract We investigate the area distribution of clusters (loops) for the honeycomb O(n) loop model by means of worm algorithm with n=0.5, 1, 1.5, and 2. At the critical point, the number of clusters, whose enclosed area is greater than A, is proportional to A^-1 with a proportionality constant C. We confirm numerically that C is universal, and its value agrees well with the predictions based on the Coulomb gas method.

Keywords: worm algorithm O(n) loop model universality Coulomb gas method

Received: 06 January 2012
Revised: 16 February 2012
Accepted manuscript online:

PACS:	02.70.Tt	(Justifications or modifications of Monte Carlo methods)
	05.10.Ln	(Monte Carlo methods)
	64.60.De	(Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.))
	64.60.F-	(Equilibrium properties near critical points, critical exponents)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10975127 ) and the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20113402110040).

Corresponding Authors: Liu Qing-Quan
E-mail: liuqq@mail.ustc.edu.cn

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Xu Ya-Dong(许亚东), Liu Qing-Quan(刘清泉), and Deng You-Jin(邓友金) Monte Carlo study of the universal area distribution of clusters in honeycomb O(n) loop model 2012 Chin. Phys. B 21 070211

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

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