Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Enskog--Vlasov equaton: A kinetic model describing gas, liquid, and
  solid   The Enskog--Vlasov (EV) equation is a semi-empiric kinetic model describing
gas-liquid phase transitions. In the framework of the EV equation, these
correspond to an instability with respect to infinitely long perturbations,
developing in a gas state when the temperature drops below (or density rises
above) a certain threshold. In this paper, we show that the EV equation
describes one more instability, with respect to perturbations with a finite
wavelength and occurring at a higher density. This instability corresponds to
fluid-solid phase transition and the perturbations' wavelength is essentially
the characteristic scale of the emerging crystal structure. Thus, even though
the EV model does not describe the fundamental physics of the solid state, it
can `mimic' it -- and, thus, be used in applications involving both evaporation
and solidification of liquids. Our results also predict to which extent a pure
fluid can be overcooled before it definitely turns into a solid.

6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th