ON THE AVERAGE DISTANCE BETWEEN PARTICLES IN THE 2-DIMENSIONAL 2-COMPONENT PLASMA

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. © 1992 Plenum Publishing Corporation.