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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 ISSN 1751-8113.

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Official URL: http://dx.doi.org/10.1088/1751-8113/48/34/345002

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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
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Science > Physics
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:
DateEvent
5 May 2015Submitted
14 July 2015Accepted
4 August 2015Published
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 (Creative Commons)
Date of first compliant deposit: 27 June 2016
Date of first compliant Open Access: 27 June 2016

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