8
IRUS TotalDownloads
Altmetric
A numerical study of the 3D random interchange and random loop models
| File | Description | Size | Format | |
|---|---|---|---|---|
 1505.00983v2.pdf | Accepted version | 474.12 kB | Adobe PDF | View/Open |
| Title: | A numerical study of the 3D random interchange and random loop models |
| Authors: | Barp, A Barp, EG Briol, F-X Ueltschi, D |
| Item 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. |
| Issue Date: | 4-Aug-2015 |
| Date of Acceptance: | 14-Jul-2015 |
| URI: | http://hdl.handle.net/10044/1/53209 |
| DOI: | https://dx.doi.org/10.1088/1751-8113/48/34/345002 |
| ISSN: | 1751-8113 |
| Publisher: | IOP Publishing |
| Journal / Book Title: | Journal of Physics A: Mathematical and Theoretical |
| Volume: | 48 |
| Copyright Statement: | ©2015 IOP Publishing Ltd. |
| Keywords: | math-ph cond-mat.stat-mech math.MP math.PR 60K35, 82B20, 82B26 01 Mathematical Sciences 02 Physical Sciences Mathematical Physics |
| Notes: | 11 pages |
| Publication Status: | Published |
| Article Number: | 345002 |
| Appears in Collections: | Faculty of Natural Sciences Mathematics |