Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An approach to the quasi-equilibrium state of a self-gravitating system   We propose an approach to find out when a self-gravitating system is in a
quasi-equilibrium state. This approach is based on a comparison between two
quantities identifying behavior of the system: a measure of interactions
intensity and the area. Gravitational scattering cross section of the system,
defined by using the two-particle scattering cross section formula, is
considered as the measure of interactions intensity here. A quasi-equilibrium
state of such system is considered as a state when there is a balance between
these two quantities. As a result, we obtain an equation which relates density
and temperature for such a system in the non-relativistic classical limit. This
equation is consistent with the TOV equation as expected.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat