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The Partition Function of Multicomponent Log-Gases (1201.0223v1)
Published 31 Dec 2011 in math-ph, math.MP, and math.PR
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 ensembles extended to multicomponent ensembles.
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