Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Condensation of Hard Spheres Under Gravity   Starting from 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 \beta\mu \le \mu_o \approx 21.756 in 2
dimensions and \mu_o\approx 15.299 in 3 dimensions, where \mu is the
dimensionless initial layer thickness and \beta=mgD/T. When this inequality
breaks down, a fraction of particles condense from the bottom up to the Fermi
surface.

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The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph