Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase diagram of self-attracting systems   Phase diagram of microcanonical ensembles of self-attracting particles is
studied for two types of short-range potential regularizations:
self-gravitating fermions and classical particles interacting via attractive
soft $-(r^2+r_0^2)^{-1/2}$ Coulomb potential. When the range of regularization
is sufficiently short, the self-attracting systems exhibit gravitational or
collapse-like transition. As the fermionic degeneracy or the softness radius
increases, the gravitational phase transition crosses over to a normal
first-order phase transition, becomes second-order at a critical point, and
finally disappears. Applicability of a commonly used saddle-point or mean-field
approximation and importance of metastable states is discussed.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph