Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic field correlations in kinematic two-dimensional
  magnetohydrodynamic turbulence   The scaling properties of the second order magnetic structure function
D_2^{(B)}(r) and the corresponding magnetic correlation function C_2^{(B)}(r)
are derived for two-dimensional magnetohydrodynamic turbulence in the kinematic
regime where the ratio of kinetic energy to magnetic energy is much larger than
one. In this regime the magnetic flux function $\psi$ can be treated as a
passive scalar advected in a two-dimensional turbulent flow. Its structure
function $D_2^{(\psi)}(r)$ and the one for the magnetic field D_2^{(B)}(r) are
connected by an exact relation. We calculate D_2^{(\psi)}(r) and thus
D_2^{(B)}(r) within geometric measure theory over a wide range of scales r and
magnetic Prandtl numbers Pr_m. The magnetic field correlations follow a
r^{-4/3} - scaling law and show an anticorrelation at the beginning of the
Batchelor regime indicative of the formation of strongly filamented current
sheets. Differences to the full dynamic regime, where the ratio of kinetic to
magnetic energies is smaller than in the kinematic case, are discussed.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat