Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Linear and Non-Local Meissner Effect in Superconducting Wires   The structure of the Meissner effect in a current-carrying cylindrical wire
with arbitrary disorder is studied using a numerical procedure that is exact
within the semiclassical approximation. A distribution of currents is found
that is non-monotonous as a function of the radial coordinate. For high
currents, a robust gapless superconducting state develops at the surface of
both clean and dirty leads. Our calculation provides a quantitative theory of
the critical current in realistic wires.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess