On a model of random cycles
Statistical Mechanics
2011-11-09 v3 Mathematical Physics
math.MP
Probability
Abstract
We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evidence for the occurrence of a transition to a phase with infinite, macroscopic cycles.
Cite
@article{arxiv.cond-mat/0703315,
title = {On a model of random cycles},
author = {Daniel Gandolfo and Jean Ruiz and Daniel Ueltschi},
journal= {arXiv preprint arXiv:cond-mat/0703315},
year = {2011}
}
Comments
13 pages