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A numerical study of the 3D random interchange and random loop models
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Barp, Alessandro, Barp, Edoardo Gabriele, Briol, François-Xavier and Ueltschi, Daniel (2015) A numerical study of the 3D random interchange and random loop models. Journal of Physics A: Mathematical and Theoretical, 48 (34). pp. 1-11. 345002. doi:10.1088/1751-8113/48/34/345002
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Official URL: http://dx.doi.org/10.1088/1751-8113/48/34/345002
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 $\frac{1}{2}$.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics Faculty of Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Stochastic processes, Lattice theory | ||||||||
| Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical | ||||||||
| Publisher: | IOP Publishing Ltd | ||||||||
| ISSN: | 1751-8113 | ||||||||
| Official Date: | 4 August 2015 | ||||||||
| Dates: |
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| Volume: | 48 | ||||||||
| Number: | 34 | ||||||||
| Number of Pages: | 11 | ||||||||
| Page Range: | pp. 1-11 | ||||||||
| Article Number: | 345002 | ||||||||
| DOI: | 10.1088/1751-8113/48/34/345002 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access |
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