### 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 language | English (US) |
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Pages (from-to) | 1-60 |

Number of pages | 60 |

Journal | Communications in Mathematical Physics |

DOIs | |

State | Accepted/In press - Aug 10 2016 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*, 1-60. https://doi.org/10.1007/s00220-016-2735-3

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

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, pp. 1-60. https://doi.org/10.1007/s00220-016-2735-3

}

TY - JOUR

T1 - Large Deviations for the Two-Dimensional Two-Component Plasma

AU - Leblé, Thomas

AU - Serfaty, Sylvia

AU - Zeitouni, Ofer

PY - 2016/8/10

Y1 - 2016/8/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84981164698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84981164698&partnerID=8YFLogxK

U2 - 10.1007/s00220-016-2735-3

DO - 10.1007/s00220-016-2735-3

M3 - Article

SP - 1

EP - 60

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

ER -