Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Vlasov Theory in the Shearing Sheet Approximation with
  Application to the Magneto-Rotational Instability   We derive the conductivity tensor for axisymmetric perturbations of a hot,
collisionless, and charge-neutral plasma in the shearing sheet approximation.
Our results generalize the well-known linear Vlasov theory for uniform plasmas
to differentially rotating plasmas and can be used for wide range of kinetic
stability calculations. We apply these results to the linear theory of the
magneto-rotational instability (MRI) in collisionless plasmas. We show
analytically and numerically how the general kinetic theory results derived
here reduce in appropriate limits to previous results in the literature,
including the low frequency guiding center (or "kinetic MHD") approximation,
Hall MHD, and the gyro-viscous approximation. We revisit the cold plasma model
of the MRI and show that, contrary to previous results, an initially
unmagnetized collisionless plasma is linearly stable to axisymmetric
perturbations in the cold plasma approximation. In addition to their
application to astrophysical plasmas, our results provide a useful framework
for assessing the linear stability of differentially rotating plasmas in
laboratory experiments.

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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph