2015/10/10 by Thomas Leblé, Sylvia Serfaty, Ofer Zeitouni +1
Mathematics · Physics and Astronomy · #Complex system #Gaussian #Large deviations theory #Measure (data warehouse) #Multiplicative function #Navier-Stokes equation solutions #Plasma #Representation (politics) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #math.PR
paper · pdf · doi:10.1007/s00220-016-2735-3
53 pages. With an appendix by Wei Wu
arxiv created 2015/10/10 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/10 · arxiv updated 2016/09/21 · openalex updated_date 2026/08/05
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.