Derivation of an asymptotic expression in Beenakker's general fluctuation formula for random-matrix correlations near an edge

Abstract

We use a linear response argument and macroscopic electrostatics to derive the formula σ(x)σ(x')T∼-(x+x') /[β2π2(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. © 1994 The American Physical Society.