Barp, A;
Barp, EG;
Briol, FX;
Ueltschi, D;
(2015)
A numerical study of the 3D random interchange and random loop models.
Journal of Physics A: Mathematical and Theoretical
, 48
(34)
, Article 345002. 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 ½.
| Type: | Article |
|---|---|
| Title: | A numerical study of the 3D random interchange and random loop models |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1751-8113/48/34/345002 |
| Publisher version: | https://doi.org/10.1088/1751-8113/48/34/345002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10079219 |
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