Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex pattern in a nanoscopic cylinder   A superconducting nanoscopic cylinder, with radius $R = 4.0\xi$ and height $D
= 4.0\xi$ is submitted to an applied field along the cylinder axis. The
Ginzburg-Landau theory is solved in three-dimensions using the simulated
annealing technique to minimize the free energy functional. We obtain different
vortex patterns, some of which are giant vortices and up to twelve vortices are
able to fit inside the cylinder

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys