The two-dimensional one-component plasma at Γ=2: Behavior of correlation functions in strip geometry

Abstract

This paper considers a strip of two-dimensional one-component plasma of particles of charge q at a temperature T such that the coupling constant be Γ=q2/kBT = 2. The strip is of finite width and infinite length and bears charge densities on either edge. Inside the strip and on one side, the dielectric constant is 1; on the other side of the strip, it may be either 1 or 0 (in the latter case, image forces play an important role). The free energy as well as the one-particle and two-particle distribution functions can be exactly computed. They obey a variety of sum rules reflecting the Coulombic behavior of the system. At large separations the truncated two-particle distribution function behave..