Abstract
The asymptotic forms of the average distance of the closest particle to a fixed positive charge, and of the closest particle to the origin, are obtained for the two-dimensional two-component plasma in the low-density limit. The asymptotic forms of the average areas of the corresponding disks formed by the closest particle are also derived. These results are verified at a special coupling where exact results are available.
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Laboratoire Associé au Centre National de la Recherche Scientifique.
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Forrester, P.J., Jancovici, B. On the average distance between particles in the two-dimensional two-component plasma. J Stat Phys 69, 163–178 (1992). https://doi.org/10.1007/BF01053788
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DOI: https://doi.org/10.1007/BF01053788