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Comparison of weighted-density-functional theories for inhomogeneous liquids

Kroll, D. M.
Laird, Brian Bostian
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Abstract
Three recent weighted-density-functional (WDF) theories are critically examined in terms of their ability to describe correctly the structure of a hard-sphere fluid at a hard wall. A new derivation of the Curtin-Ashcroft WDF theory is given that clarifies the basic approximations behind this formulation and brings out the close relationship between their work and the WDF theories of Meister-Kroll and Groot–van der Eerden. The condition that the second functional derivative of the approximate Helmholtz free-energy functional yields the correct two-particle direct-correlation function in the homogeneous limit is found to be of crucial importance in determining good liquid structures.
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This is the publisher's version, also available electronically from http://journals.aps.org/pra/abstract/10.1103/PhysRevA.42.4806.
Date
1990-10-15
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American Physical Society
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Kroll, D. M.; Laird, Brian Bostian. (1990). "Comparison of weighted-density-functional theories for inhomogeneous liquids." Physical Review A, 42:4806. http://dx.doi.org/10.1103/PhysRevA.42.4806
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