Monte Carlo study of the universal area distribution of clusters in honeycomb O(n) loop model
Xu Ya-Dong(许亚东), Liu Qing-Quan(刘清泉)†, and Deng You-Jin(邓友金)
Hefei National Laboratory for Physical Sciences at the Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
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.
(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
Cite this article:
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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