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Constellation ensembles and interpolation in ensemble averages

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Abstract

We introduce constellation ensembles, in which charged particles on a line (or circle) are linked with charged particles on parallel lines (or concentric circles). We present formulas for the partition functions of these ensembles in terms of either the Hyperpfaffian or the Berezin integral of an appropriate alternating tensor. Adjusting the distances between these lines (or circles) gives an interpolation between a pair of limiting ensembles, such as one-dimensional \(\beta \)-ensembles with \(\beta =K\) and \(\beta =K^2\).

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Authors and Affiliations

  1. University of Oregon Eugene, Eugene, OR, USA

    Elisha D. Wolff

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  1. Elisha D. Wolff
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Correspondence to Elisha D. Wolff.

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Wolff, E.D. Constellation ensembles and interpolation in ensemble averages. Eur. Phys. J. Plus 137, 759 (2022). https://doi.org/10.1140/epjp/s13360-022-02972-5

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-02972-5

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