Effects of surface charge on the two-dimensional one-component plasma. II. Interacting double layers

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Abstract
For pt.I see ibid., vol.15, no.4, p.1271 (1982). The free energy density and one- and two-particle distribution functions for a two-dimensional one-component plasma of particles with charge q confined to a strip bearing charge densities on its surfaces are calculated exactly at the temperature for which Gamma =q2/kT=2 (this parameter being dimensionless in two dimensions). The external dielectric constant is the same as that in the system interior so that there are no image forces. The density profiles look roughly like a sum of two independent double-layer profiles, except at extremely close separation. At large enough separation (more than the strip width) the two-particle distribution function decays with the inverse square of particle separation.

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