The Partition Function of a Multi-Component Coulomb Gas on a Circle

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dc.creatorJokela, Niko
dc.creatorJarvinen, Matti
dc.creatorKeski-Vakkuri, Esko
dc.date2007-12-28
dc.date2008-03-13
dc.date.accessioned2026-07-07T11:13:57Z
dc.date.available2026-07-07T11:13:57Z
dc.descriptionWe study a two-dimensional Coulomb gas consisting of a mixture of particles carrying various positive multiple integer charges, confined on a unit circle. We consider the system in the canonical and grand canonical ensembles, and attempt to calculate the partition functions analytically, using Toeplitz and confluent Vandermonde determinants. Just like in the simple one-component system (Dyson gas), the partition functions simplify at special temperature $β=2$, allowing us to find compact expressions for them.
dc.description15 pages, 1 figure, v2: added discussion and references, version to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/0712.4371
dc.identifierhttp://arxiv.org/abs/0712.4371
dc.identifierJ.Phys.A41:145003,2008
dc.identifierdoi:10.1088/1751-8113/41/14/145003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191900
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe Partition Function of a Multi-Component Coulomb Gas on a Circle
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