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Condensation of hard spheres under gravity

Daniel C. Hong

Physica A: Statistical Mechanics and its Applications, 1999, vol. 271, issue 1, 192-199

Abstract: Starting from the Enskog equation of hard spheres of mass m and diameter D under the gravity g, we first derive the exact equation of motion for the equilibrium density profile at a temperature T and examine its solutions via the gradient expansion. The solutions exist only when βμ⩽μ0, where μ is the dimensionless initial layer thickness and β=mgD/T, and the precise value of the upper bound μ0 depends on the underlying packing. When this inequality breaks down, a fraction of particles condenses from the bottom toward the surface.

Keywords: Enskoq theory; Hard spheres; Condensation under gravity (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:271:y:1999:i:1:p:192-199

DOI: 10.1016/S0378-4371(99)00181-8

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