Large deviations for the two-dimensional two-component plasma
Mathematical Physics
2016-09-21 v2 Statistical Mechanics
math.MP
Probability
Abstract
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 show that the macroscopic empirical measure of either positive or negative charges converges to the uniform measure. An appendix, written by Wei Wu, discusses applications to the supercritical complex Gaussian multiplicative chaos.
Cite
@article{arxiv.1510.01955,
title = {Large deviations for the two-dimensional two-component plasma},
author = {Thomas Leblé and Sylvia Serfaty and Ofer Zeitouni and Wei Wu},
journal= {arXiv preprint arXiv:1510.01955},
year = {2016}
}
Comments
53 pages. With an appendix by Wei Wu