Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 48, Issue 34, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/48/34/345002
Keywords
random interchange model; random loop model; macroscopic loops; Poisson-Dirichlet distribution
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Funding
- URSS grant from the University of Warwick
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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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