Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of a superfluid vortex filament tangle driven by the
  Gross-Pitaevskii equation   The development and decay of a turbulent vortex tangle driven by the
Gross-Pitaevskii equation is studied. Using a recently-developed accurate and
robust tracking algorithm, all quantised vortices are extracted from the
fields. The Vinen's decay law for the total vortex length with a coefficient
that is in quantitative agreement with the values measured in Helium II is
observed. The topology of the tangle is then studied showing that linked rings
may appear during the decay. The tracking also allows for determining the
statistics of small-scales quantities of vortex lines, exhibiting large
fluctuations of curvature and torsion. Finally, the temporal evolution of the
Kelvin wave spectrum is obtained providing evidence of the development of a
weak-wave turbulence cascade.

2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th