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arXiv · 1201.0223

The Partition Function of Multicomponent Log-Gases

Christopher D. Sinclair
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Abstract

We give an expression for the partition function of a one-dimensional log-gas comprised of particles of (possibly) different integer charge at inverse temperature {\beta} = 1 (restricted to the line in the presence of a neutralizing field) in terms of the Berezin integral of an associated non- homogeneous alternating tensor. This is the analog of the de Bruijn integral identities [3] (for {\beta} = 1 and {\beta} = 4) ensembles extended to multicomponent ensembles.

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Christopher D. Sinclair. 2011-12-31. The Partition Function of Multicomponent Log-Gases. https://doi.org/10.1088/1751-8113/45/16/165002

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