The two-dimensional one-component plasma is hyperuniform
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.
Fields of Study & Subjects
Markov Chains and Monte Carlo Methods
Theoretical and Computational Physics
Random Matrices and Applications
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 5
- Pages
- 763-901
- Publication date
- 1 April 2026
- Language
- EN