A numerical study of the 3D random interchange and random loop models
File(s)1505.00983v2.pdf (474.13 KB)
Accepted version
Author(s)
Barp, A
Barp, EG
Briol, F-X
Ueltschi, D
Type
Journal Article
Abstract
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.
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.
Date Issued
2015-08-04
Date Acceptance
2015-07-14
Citation
Journal of Physics A: Mathematical and Theoretical, 2015, 48
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
48
Copyright Statement
©2015 IOP Publishing Ltd.
Subjects
math-ph
math-ph
cond-mat.stat-mech
math.MP
math.PR
60K35, 82B20, 82B26
Notes
11 pages
Publication Status
Published
Article Number
345002