Close-packed configurations, `symmetry breaking', and the freezing transition in density functional theory

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Abstract
It is shown that the density functional theory for the non-uniform hard-sphere fluid, which employs the geometrically based fundamental-measure free-energy functional, (1) has the mechanism to locate situations of hard-sphere closest packing, (2) features `symmetry breaking' that separates the solid-like and liquid-like solutions for the density profile equation, and (3) contains the free-volume cell theory as a special limit case.

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