Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coronal Heating, Weak MHD Turbulence and Scaling Laws   Long-time high-resolution simulations of the dynamics of a coronal loop in
cartesian geometry are carried out, within the framework of reduced
magnetohydrodynamics (RMHD), to understand coronal heating driven by motion of
field lines anchored in the photosphere. We unambiguously identify MHD
anisotropic turbulence as the physical mechanism responsible for the transport
of energy from the large scales, where energy is injected by photospheric
motions, to the small scales, where it is dissipated. As the loop parameters
vary different regimes of turbulence develop: strong turbulence is found for
weak axial magnetic fields and long loops, leading to Kolmogorov-like spectra
in the perpendicular direction, while weaker and weaker regimes (steeper
spectral slopes of total energy) are found for strong axial magnetic fields and
short loops. As a consequence we predict that the scaling of the heating rate
with axial magnetic field intensity $B_0$, which depends on the spectral index
of total energy for given loop parameters, must vary from $B_0^{3/2}$ for weak
fields to $B_0^{2}$ for strong fields at a given aspect ratio. The predicted
heating rate is within the lower range of observed active region and quiet Sun
coronal energy losses.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom