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The two-dimensional one-component plasma is hyperuniform

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arxiv 2104.05109 v4 pith:VVJQEFIK submitted 2021-04-11 math-ph math.MPmath.PR

Thomas Leblé This is my paper · ORCID
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keywords hyperuniformone-componentplasmatwo-dimensionalareabulkcalledclassical
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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.

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Cited by 1 Pith paper

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  1. Invariant transports of stationary random measures: asymptotic variance, hyperuniformity, and examples

    math.PR 2025-06 conditional novelty 7.0 of 10

    A general mixing criterion shows which random transports preserve asymptotic variance, yielding a procedure that turns any ergodic point process into a hyperuniform one.

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