Volume changes in binary alloy ordering, a binary classical density functional theory approach

Details Volume changes in binary alloy ordering, a binary classical density functional theory approach Volume changes in binary alloy ordering, a binary classical density functional theory approach

1998-06-07

arxiv.org/abs/cond-mat/9806093v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, Latex, no figures

Scientific paper

10.1103/PhysRevE.58.7040

The chemical ordering transition in a binary alloy is examined using classical density functional theory for a binary mixture. The ordered lattice is assumed to be obtained from the disordered lattice by a volume change only, as in L1_2 ordering from an face centered cubic chemically disordered crystal. Using the simplest possible approach, second order truncation of the expansion, non-overlapping Gaussian distributions at the sites, and expansion of the correlation functions about the sites, a very tractable expansion is obtained. Under these assumptions the expansion consists of the same terms as the lattice gas formalism where the lattice is implicitly taken as fixed, plus additional interaction terms, and an additional entropy term. This additional entropy term represents a lowest order approximation to the vibrational entropy change.

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