Large Deviations for the Two-Dimensional Two-Component Plasma

Thomas Leblé, Sylvia Serfaty, Ofer Zeitouni

Research output: Contribution to journalArticle

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 subcritical complex Gaussian multiplicative chaos.

Original languageEnglish (US)
Pages (from-to)1-60
Number of pages60
JournalCommunications in Mathematical Physics
DOIs
StateAccepted/In press - Aug 10 2016

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Empirical Measures
Large Deviation Principle
Large Deviations
Free Energy
Multiplicative
Chaos
Plasma
Charge
deviation
Converge
boxes
chaos
free energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Large Deviations for the Two-Dimensional Two-Component Plasma. / Leblé, Thomas; Serfaty, Sylvia; Zeitouni, Ofer.

In: Communications in Mathematical Physics, 10.08.2016, p. 1-60.

Research output: Contribution to journalArticle

Leblé, Thomas ; Serfaty, Sylvia ; Zeitouni, Ofer. / Large Deviations for the Two-Dimensional Two-Component Plasma. In: Communications in Mathematical Physics. 2016 ; pp. 1-60.
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