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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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:	Date Event 5 May 2015 Submitted 14 July 2015 Accepted 4 August 2015 Published
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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