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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70211-070211.doi: 10.1088/1674-1056/21/7/070211

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

许亚东, 刘清泉, 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

收稿日期:2012-01-06 修回日期:2012-02-16 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
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).

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

Received:2012-01-06 Revised:2012-02-16 Online:2012-06-01 Published:2012-06-01
Contact: Liu Qing-Quan E-mail:liuqq@mail.ustc.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: worm algorithm, O(n) loop model, universality, Coulomb gas method

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.

Key words: worm algorithm, O(n) loop model, universality, Coulomb gas method

中图分类号: (Justifications or modifications of Monte Carlo methods)

02.70.Tt

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)

许亚东, 刘清泉, 邓友金 . Monte Carlo study of the universal area distribution of clusters in honeycomb O(n) loop model[J]. 中国物理B, 2012, 21(7): 70211-070211.

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[J]. Chin. Phys. B, 2012, 21(7): 70211-070211.

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

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

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