Monte Carlo study of the universal area distribution of clusters in honeycomb O(n) loop model |
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| Authors: | Xu Ya-Dong Liu Qing-Quan Deng You-Jin |
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| Institution: | Hefei National Laboratory for Physical Sciences at the Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
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| 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. |
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| Keywords: | worm algorithm O(n) loop model universality Coulomb gas method |
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