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Condensation of hard spheres under gravity

Author

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  • Hong, Daniel C.

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.

Suggested Citation

  • Hong, Daniel C., 1999. "Condensation of hard spheres under gravity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(1), pages 192-199.
  • Handle: RePEc:eee:phsmap:v:271:y:1999:i:1:p:192-199
    DOI: 10.1016/S0378-4371(99)00181-8
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