Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular solutions in Abelian gauge model   The regular solutions for the Ginzburg-Landau (-Nielsen-Olesen) Abelian gauge
model are studied numerically. We consider the static isolated cylindrically
symmetric configurations. The well known (Abrikosov) vortices, which present a
particular example of such solutions, play an important role in the theory of
type II superconductors and in the models of structure formation in the early
universe. We find new regular static isolated cylindrically symmetric solutions
which we call the type B and the flux tube solutions. In contrast to the pure
vortex configurations which have finite energy, the new regular solutions
possess a finite Gibbs free energy. The flux tubes appear to be energetically
the most preferable configurations in the interval of external magnetic fields
between the thermodynamic critical value $H_{c}$ and the upper critical field
$H_{c_2}$, while the pure vortex dominate only between the lower critical field
$H_{c_1}$ and $H_{c}$. Our conclusion is thus that type B and flux tube
solutions are important new elements necessary for the correct understanding of
a transition from the vortex state to the completely normal state.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex