A numerical study of the 3D random interchange and random loop models
Mathematical Physics
2015-08-06 v2 Statistical Mechanics
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.1505.00983,
title = {A numerical study of the 3D random interchange and random loop models},
author = {Alessandro Barp and Edoardo Gabriele Barp and Francois-Xavier Briol and Daniel Ueltschi},
journal= {arXiv preprint arXiv:1505.00983},
year = {2015}
}
Comments
11 pages