Random partitions in statistical mechanics
Probability
2014-09-15 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particle clustering; and spatial permutations. These distributions are invariant for a "chain of Chinese restaurants" stochastic process. We obtain results for the distribution of the size of the largest component.
Cite
@article{arxiv.1401.1442,
title = {Random partitions in statistical mechanics},
author = {Nicholas M. Ercolani and Sabine Jansen and Daniel Ueltschi},
journal= {arXiv preprint arXiv:1401.1442},
year = {2014}
}
Comments
38 pages, 3 figures