Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern formation and phase transitions in systems with non-monotonic
  interaction   We analyzed pattern formation and identified different phases in a system of
particles interacting through a non-monotonic short-range repulsive (r<r_c) and
long-range attractive (r>r_c) potential, using molecular-dynamics simulations.
Depending on parameters, the interaction potential models the interparticle
interaction in various physical systems ranging from atoms, molecules and
colloids to neutron stars and vortices in low-kappa type-II superconductors and
in recently discovered "type-1.5" superconductors. We constructed the phase
diagram "critical radius r_c - density n" and proposed a new approach to
characterization of the phases. Namely, we elaborated a set of quantitative
criteria in order to identify the different phases using the Radial
Distribution Function (RDF), the local density function, and the occupation
factor.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph