Instruct: Identify the main and secondary category of Arxiv papers based on the titles
Query: Thermodynamics of the vortex liquid in heavy ion-irradiated
  superconductors
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
18
The categories of this paper are: econ