dc.contributor.author | Cunden, FD | en_US |
dc.contributor.author | Maltsev, A | en_US |
dc.contributor.author | Mezzadri, F | en_US |
dc.date.accessioned | 2017-12-06T11:48:17Z | |
dc.date.submitted | 2017-11-29T13:52:48.189Z | |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/29114 | |
dc.description | 6 pages, 2 figures. Final version | |
dc.description | 6 pages, 2 figures. Final version | en_US |
dc.description | 6 pages, 2 figures. Final version | en_US |
dc.description.abstract | We 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.extent | 060105 - ? | en_US |
dc.relation.ispartof | Phys. Rev. E | en_US |
dc.rights | This 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.subject | math-ph | en_US |
dc.subject | math-ph | en_US |
dc.subject | cond-mat.stat-mech | en_US |
dc.subject | math.MP | en_US |
dc.subject | nlin.CD | en_US |
dc.title | Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition | en_US |
dc.type | Article | |
dc.rights.holder | © 2015 American Physical Society | |
dc.identifier.doi | 10.1103/PhysRevE.91.060105 | en_US |
pubs.author-url | http://arxiv.org/abs/1502.06756v4 | en_US |
pubs.notes | No embargo | en_US |
pubs.publisher-url | http://dx.doi.org/10.1103/PhysRevE.91.060105 | en_US |
pubs.volume | 91 | en_US |