Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of similarity lengths in anisotropic magnetohydrodynamic
  turbulence   In an earlier paper (Wan et al. 2012), the authors showed that a similarity
solution for anisotropic incompressible 3D magnetohydrodynamic (MHD)
turbulence, in the presence of a uniform mean magnetic field $\vB_0$, exists if
the ratio of parallel to perpendicular (with respect to $\vB_0$) similarity
length scales remains constant in time. This conjecture appears to be a rather
stringent constraint on the dynamics of decay of the energy-containing eddies
in MHD turbulence. However, we show here, using direct numerical simulations,
that this hypothesis is indeed satisfied in incompressible MHD turbulence.
After an initial transient period, the ratio of parallel to perpendicular
length scales fluctuates around a steady value during the decay of the eddies.
We show further that a Taylor--K\'arm\'an-like similarity decay holds for MHD
turbulence in the presence of a mean magnetic field. The effect of different
parameters, including Reynolds number, DC field strength, and cross-helicity,
on the nature of similarity decay is discussed.

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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas