期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 48, 期 34, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/48/34/345002
关键词
random interchange model; random loop model; macroscopic loops; Poisson-Dirichlet distribution
资金
- URSS grant from the University of Warwick
We have studied numerically the random interchange model and related loop models on the three-dimensional cubic lattice. We have determined the transition time for the occurrence of long loops. The joint distribution of the lengths of long loops is Poisson-Dirichlet with parameter 1 or 1/2.
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