Charge oscillations in Debye-Hückel theory

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1997 EDP Sciences
, , Citation B. P. Lee and M. E. Fisher 1997 EPL 39 611 DOI 10.1209/epl/i1997-00402-x

0295-5075/39/6/611

Abstract

The recent generalized Debye-Hückel (GDH) theory is applied to the calculation of the charge-charge correlation function, GZZ(r). The resulting expression satisfies both i) the charge neutrality condition and ii) the Stillinger-Lovett second-moment condition for all T and ρN, the overall ion density, and iii) exhibits charge oscillations for densities above a "Kirkwood line" in the (ρN,T)-plane. This corrects the normally assumed DH charge 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 (ρN,T) variation, and v) reasonable behavior near criticality.

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10.1209/epl/i1997-00402-x