  The Debye charging method is generalized to study the linear response
properties of the asymmetric primitive model for electrolytes. Analytic results
are obtained for the effective charge distributions of constituent ions inside
the electrolyte, from which all static linear response properties of system
follow. It is found that, as the ion density increases, both the screening
length and the dielectric constant receive substantial renormalization due to
ionic correlations. Furthermore, the valence of larger ion is substantially
renormalized upwards by ionic correlations, whilst that of smaller ions remains
approximately the same. For sufficiently high density, the system exhibit
charge oscillations. The threshold ion density for charge oscillation is much
lower than the corresponding value for symmetric electrolytes. Our results
agree well with large scale Monte Carlo simulations.
