Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave turbulence in incompressible Hall MHD   We investigate the steepening of the magnetic fluctuation power law spectra
observed in the inner solar wind for frequencies higher than 0.5 Hz. This high
frequency part of the spectrum may be attributed to dispersive nonlinear
processes. In that context, the long-time behavior of weakly interacting waves
is examined in the framework of 3D incompressible Hall MHD turbulence. The Hall
term added to the standard MHD equations makes the Alfv\'en waves dispersive
and circularly polarized. We introduce the generalized Els\"asser variables
and, using a complex helicity decomposition, we derive for three-wave
interaction processes the general wave kinetic equations; they describe the
nonlinear dynamics of Alfv\'en, whistler and ion cyclotron wave turbulence in
the presence of a strong uniform magnetic field $B_0 \ep$. Hall MHD turbulence
is characterized by anisotropies of different strength. We show that electron
and standard MHD turbulence can be seen as two frequency limits of the present
theory but the standard MHD limit is singular; additionally, we analyze in
detail the ion MHD turbulence limit. Exact power law solutions of the master
wave kinetic equations are given in the small and large scale limits for which
we have, respectively, the total energy spectra $E(\kpn,\kpa) \sim \kpn^{-5/2}
|\kpa|^{-1/2}$ and $E(\kpn,\kpa) \sim \kpn^{-2}$. An anisotropic phenomenology
is developed to describe continuously the different scaling laws of the energy
spectrum; one predicts $E(\kpn,\kpa) \sim \kpn^{-2} |\kpa|^{-1/2}
(1+\kpn^2d_i^2)^{-1/4}$. Nonlocal interactions between Alfv\'en, whistler and
ion cyclotron waves are investigated; a non trivial dynamics exists only when a
discrepancy from the equipartition between the large scale kinetic and magnetic
energies happens.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg