Partition function zeros of zeta-urns
Statistical Mechanics
2024-09-25 v3 Mathematical Physics
math.MP
Abstract
We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for finite-size systems and test scaling relations describing the accumulation of zeros near the critical point against theoretical predictions for both the first and higher order transition regimes.
Cite
@article{arxiv.2312.01806,
title = {Partition function zeros of zeta-urns},
author = {P. Bialas and Z. Burda and D. A. Johnston},
journal= {arXiv preprint arXiv:2312.01806},
year = {2024}
}
Comments
11 pages, 6 figures