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Large charge fluctuations
in the hierarchical Coulomb gas
Alon Nishry and Oren Yakir |
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Vol. 6 (2025), No. 4, 1245–1290
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Abstract |
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The two-dimensional one-component plasma (OCP) is a model of electrically charged particles which are embedded in a uniform background of the opposite charge, and interact through a logarithmic potential. More than 30 years ago, Jancovici, Lebowitz and Manificat discovered an asymptotic law for probabilities of large charge fluctuations in the OCP. We prove that this law holds for the hierarchical counterpart of the OCP. The hierarchical model was recently introduced by Chatterjee, and is inspired by Dyson’s hierarchical model of the Ising ferromagnet. |
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Keywords
Coulomb gas, large deviations, hierarchical models in
statistical mechanics
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Mathematical Subject Classification
Primary: 60F10, 60G55, 60K35, 82B05
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Milestones
Received: 20 March 2024
Revised: 12 December 2024
Accepted: 16 March 2025
Published: 12 October 2025
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Authors |
| Alon Nishry | |
| School of Mathematical
Sciences Tel Aviv University Tel Aviv Israel |
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| Oren Yakir | |
| School of Mathematical
Sciences Tel Aviv University Tel Aviv Israel |
Department of Mathematics Stanford University Stanford, CA United States |
| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
