Density Functional Theory of Hard Sphere Condensation Under Gravity

Details Density Functional Theory of Hard Sphere Condensation Under Gravity Density Functional Theory of Hard Sphere Condensation Under Gravity

2001-03-01

arxiv.org/abs/cond-mat/0103041v1

Physics

Condensed Matter

Statistical Mechanics

17 pages, 4 figures

Scientific paper

10.1103/PhysRevE.64.061105

The onset of condensation of hard spheres in a gravitational field is studied using density functional theory. In particular, we find that the local density approximation yields results identical to those obtained previously using the kinetic theory [Physica A 271, 192, (1999)], and a weighted density functional theory gives qualitatively similar results, namely, that the temperature at which condensation begins at the bottom scales linearly with weight, diameter, and number of layers of particles.

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