The two-dimensional one-component plasma is hyperuniform

2021/04/11 by Leblé, Thomas · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2104.05109

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.

Cited by

• Rigidity of one-dimensional point processes via optimal transport
• Hyperuniform interfaces in non-equilibrium phase coexistence

Related

• DLR equations, number-rigidity and translation-invariance for infinite-volume limit points of the 2DOCP
• Large charge fluctuations in the hierarchical Coulomb gas
• Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales
• Two-dimensional Coulomb Systems in a disk with Ideal Dielectric Boundaries
• Exact solution to the 1d one component Coulomb gas at fixed energy