Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-range correlations and coherent structures in magnetohydrodynamic
  equilibria   The equilibrium theory of the 2D magnetohydrodynamic equations is derived,
accounting for the full infinite hierarchies of conserved integrals. An exact
description in terms of two coupled elastic membranes emerges, producing
long-ranged correlations between the magnetic and velocity fields. This is
quite different from the results of previous variational treatments, which
relied on a local product ansatz for the thermodynamic Gibbs distribution. The
equilibria display the same type of coherent structures, such as compact eddies
and zonal jets, previously found in pure fluid equilibria. Possible
consequences of this for recent simulations of the solar tachocline are
discussed.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs