We use a linear response argument and macroscopic electrostatics to derive the formula 〈σ(x)σ(x’)${\mathrm{〉}}^{\mathit{T}}$∼-(x+x’) /[β2${\mathrm{\pi }}^2$(xx’${)}^{1/2}$(x-x’${)}^2$], where σ(x) denotes the charge density, for general logarithmic-potential Coulomb systems on a half-line x>0.

• Received 25 July 1994

DOI:https://doi.org/10.1103/PhysRevB.50.14599