Niko Jokela, Matti Jarvinen, Esko Keski-Vakkuri
Published 2007-12-28, updated 2008-03-13Version 2
We 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 $\beta=2$, allowing us to find compact expressions for them.
Comments: 15 pages, 1 figure, v2: added discussion and references, version to appear in J. Phys. A
Journal: J.Phys.A41:145003,2008
Partition Functions in Statistical Mechanics, Symmetric Functions, and Group Representations
Correlated random networks
Comment on "Possible divergences in Tsallis' thermostatistics"
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