Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trapped slender vortex filaments in statistical equilibrium   The statistical mechanics of nearly parallel vortex filaments confined in the
unbounded plane by angular momentum, first studied by Lions and Majda (2000),
is investigated using a mean-field approximation to interaction and a spherical
constraint to develop an explicit formula for the mean square vortex position
or length scale of the system, $R$, verified with Path Integral Monte Carlo
simulations. We confirm that 3D filaments resist confinement in a different way
than 2D point vortices and that this results in a profound shift at
high-densities for the length scale of quasi-2D versus strictly-2D models of
vorticity fields in which angular momentum is conserved. Our analytical results
correspond well with those of the Monte Carlo simulations and show a 3D effects
contributing significantly to determination of the length scale.

11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph