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dc.contributor.authorCunden, FDen_US
dc.contributor.authorMaltsev, Aen_US
dc.contributor.authorMezzadri, Fen_US
dc.date.accessioned2017-12-06T11:48:17Z
dc.date.submitted2017-11-29T13:52:48.189Z
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/29114
dc.description6 pages, 2 figures. Final version
dc.description6 pages, 2 figures. Final versionen_US
dc.description6 pages, 2 figures. Final versionen_US
dc.description.abstractWe study the distribution of the mean radial displacement of charges of a 2D one-component plasma in the thermodynamic limit $N\to\infty$ at finite temperature $\beta>0$. 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 $\beta q^2=2$. In this case the problem can be mapped to the stationary properties of 2D Dyson Brownian particles and to a non-Hermitian matrix model.en_US
dc.format.extent060105 - ?en_US
dc.relation.ispartofPhys. Rev. Een_US
dc.rightsThis is a pre-copyedited, author-produced version of an article accepted for publication in Physical Review E following peer review. The version of record is available https://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.060105
dc.subjectmath-phen_US
dc.subjectmath-phen_US
dc.subjectcond-mat.stat-mechen_US
dc.subjectmath.MPen_US
dc.subjectnlin.CDen_US
dc.titleFluctuations in the two-dimensional one-component plasma and associated fourth-order phase transitionen_US
dc.typeArticle
dc.rights.holder© 2015 American Physical Society
dc.identifier.doi10.1103/PhysRevE.91.060105en_US
pubs.author-urlhttp://arxiv.org/abs/1502.06756v4en_US
pubs.notesNo embargoen_US
pubs.publisher-urlhttp://dx.doi.org/10.1103/PhysRevE.91.060105en_US
pubs.volume91en_US


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