Charge Oscillations in Debye-Hueckel Theory

Details Charge Oscillations in Debye-Hueckel Theory Charge Oscillations in Debye-Hueckel Theory

1997-05-22

arxiv.org/abs/cond-mat/9705235v1

Europhys. Lett. 39, 611 (1997)

Physics

Condensed Matter

Statistical Mechanics

6 pages, EuroPhys.sty (now available on archive), 1 eps figure

Scientific paper

10.1209/epl/i1997-00402-x

The recent generalized Debye-Hueckel (GDH) theory is applied to the calculation of the charge-charge correlation function G_{ZZ}(r). The resulting expression satisfies both (i) the charge neutrality condition and (ii) the Stillinger-Lovett second-moment condition for all T and rho_N, the overall ion density, and (iii) exhibits charge oscillations for densities above a "Kirkwood line" in the (rho_N,T) plane. This corrects the normally assumed DH correlations, and, when combined with the GDH analysis of the density correlations, leaves the GDH theory as the only complete description of ionic correlation functions, as judged by (i)-(iii), (iv) exact low-density (rho_N,T) variation, and (v) reasonable behavior near criticality.

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