The Partition Function of a Multi-Component Coulomb Gas on a Circle
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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 $β=2$, allowing us to find compact expressions for them.
15 pages, 1 figure, v2: added discussion and references, version to appear in J. Phys. A
15 pages, 1 figure, v2: added discussion and references, version to appear in J. Phys. A