A comment on the consistency of truncated nonlinear integral equation based theories of freezing

Cerjan, Charles ; Bagchi, Biman ; Rice, Stuart A. (1985) A comment on the consistency of truncated nonlinear integral equation based theories of freezing Journal of Chemical Physics, 83 (5). pp. 2376-2383. ISSN 0021-9606

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Official URL: http://jcp.aip.org/resource/1/jcpsa6/v83/i5/p2376_...

Related URL: http://dx.doi.org/10.1063/1.449281

Abstract

We report the results of two studies of aspects of the consistency of truncated nonlinear integral equation based theories of freezing: (i) We show that the self-consistent solutions to these nonlinear equations are unfortunately sensitive to the level of truncation. For the hard sphere system, if the Wertheim-Thiele representation of the pair direct correlation function is used, the inclusion of part but not all of the triplet direct correlation function contribution, as has been common, worsens the predictions considerably. We also show that the convergence of the solutions found, with respect to number of reciprocal lattice vectors kept in the Fourier expansion of the crystal singlet density, is slow. These conclusions imply great sensitivity to the quality of the pair direct correlation function employed in the theory. (ii) We show the direct correlation function based and the pair correlation function based theories of freezing can be cast into a form which requires solution of isomorphous nonlinear integral equations. However, in the pair correlation function theory the usual neglect of the influence of inhomogeneity of the density distribution on the pair correlation function is shown to be inconsistent to the lowest order in the change of density on freezing, and to lead to erroneous predictions.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:4548
Deposited On:18 Oct 2010 07:33
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