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## Abstract

We study the distribution of the mean radial displacement of charges of a two-dimensional (2D) one-component plasma in the thermodynamic limit N→∞ at finite temperature β>0. We compute explicitly the large deviation functions showing the emergence of a fourth-order phase transition as a consequence of a change of topology in the plasma distribution. This weak phase transition occurs exactly at the ground state of the plasma. These results have been compared with the integrable case (finite N) of plasma parameter βq2=2. In this case the problem can be mapped to the stationary properties of 2D Dyson Brownian particles and to a non-Hermitian matrix model.

Original language | English |
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Article number | 060105(R) |

Journal | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |

Volume | 91 |

Issue number | 6 |

Early online date | 26 Jun 2015 |

DOIs | |

Publication status | Published - Jun 2015 |

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Dive into the research topics of 'Fluctuations in the 2D one-component plasma and associated fourth-order phase transition'. Together they form a unique fingerprint.## Projects

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