The two-dimensional one-component plasma is hyperuniform
Mathematical Physics
2025-06-18 v4 math.MP
Probability
Abstract
We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than the area. In other words the system is hyperuniform.
Keywords
Cite
@article{arxiv.2104.05109,
title = {The two-dimensional one-component plasma is hyperuniform},
author = {Thomas Leblé},
journal= {arXiv preprint arXiv:2104.05109},
year = {2025}
}
Comments
92p. revised version, to appear in Duke Mathematical Journal