Density and correlation functions for the two-component plasma at Γ=2 near a metal wall

Abstract

The density profiles and correlation functions are computed exactly, at the special coupling Γ = 2, for the two-dimensional two-component plasma separated by an impermeable membrane of width ε from a metal wall. In a grand canonical formalism, the Hamiltonian used includes the image forces due to the metal wall. This provides a direct calculation of results obtained previously as a limiting case of the ideally polarizable interface [F. Cornu and B. Jancovici, J. Chem. Phys. 90, 2444 (1989)], and extends those results. © 1991 American Institute of Physics.