On the second-moment condition of Stillinger and Lovett |
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| Authors: | D. J. Mitchell D. A. McQuarrie Attila Szabo J. Groeneveld |
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| Affiliation: | (1) Department of Applied Mathematics, Research School of Physical Sciences, The Australian National University, Canberra, Australia;(2) Department of Chemistry, Indiana University, Bloomington, Indiana;(3) Instituut voor Theoretische Fysica der Rijksuniversiteit, Utrecht, The Netherlands |
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| Abstract: | The Stillinger-Lovett second-moment condition of electrolyte solutions is derived rigorously and simply from only some reasonable (but apparently never proven rigorously) assumptions concerning the asymptotic form of the direct correlation function and the Ornstein-Zernike equation. The derivation suggests that this condition is not the first member of a hierarchy of moment conditions and that there exists no simple result for a fourth-moment condition.Alfred P. Sloan Fellow.This work was partially supported by a grant from the National Institutes of Health, RO1 GM 20800-03 (to D.A.M.), by the Research Foundation of the State University of New York (USAEC Contract No. AT (30-1) 3668B) and the USAFOSR under Grant No. 68-1416B (to J.G.), and by the Petroleum Research Fund (A.S.). |
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| Keywords: | Ornstein-Zernike equation direct correlation function electrolytes moment condition solutions Coulombic |
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