Large Deviations for the Two-Dimensional Two-Component Plasma

被引：19
|
作者：
Leble, Thomas [1 ]
Serfaty, Sylvia [1 ,2 ,3 ]
Zeitouni, Ofer [3 ,4 ]
机构：
[1] UPMC Univ Paris 06, Sorbonne Univ, CNRS, UMR 7598,Lab Jacques Louis Lions, 4 Pl Jussieu, F-75005 Paris, France
[2] Inst Univ France, Paris, France
[3] NYU, Courant Inst, 251 Mercer st, New York, NY 10012 USA
[4] Weizmann Inst Sci, Dept Math, POB 26, IL-76100 Rehovot, Israel
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 350卷 / 01期
基金：
以色列科学基金会;
关键词：
STATISTICAL-MECHANICS; ONE-COMPONENT; LOWER BOUNDS; COULOMB; ENERGY; GASES;
D O I：
10.1007/s00220-016-2735-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive a large deviations principle for the two-dimensional two-component plasma in a box. As a consequence, we obtain a variational representation for the free energy, and also showthat themacroscopic empirical measure of either positive or negative charges converges to the uniform measure. An appendix, written by Wei Wu, discusses applications to the subcritical complex Gaussian multiplicative chaos.
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页码：301 / 360
页数：60
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