Fluctuations in the 2D one-component plasma and associated fourth-order phase transition

Fabio Cunden, Anna Maltsev, Francesco Mezzadri

Research output: Contribution to journalArticle (Academic Journal)peer-review

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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 languageEnglish
Article number060105(R)
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume91
Issue number6
Early online date26 Jun 2015
DOIs
Publication statusPublished - Jun 2015

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