Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sausage Instabilities on Top of Kinking Lengthening Current-Carrying
  Magnetic Flux Tubes   We theoretically explore the possibility of sausage instabilities developing
on top of a kink instability in lengthening current-carrying magnetic flux
tubes. Observations indicate that the dynamics of magnetic flux tubes in our
cosmos and terrestrial experiments can involve topological changes faster than
time scales predicted by resistive magnetohydrodynamics. Recent laboratory
experiments suggest that hierarchies of instabilities, such as kink and
Rayleigh-Taylor, could be responsible for initiating fast topological changes
by locally accessing two fluid and kinetic regimes. Sausage instabilities can
also provide this coupling mechanism between disparate scales. Flux tube
experiments can be classified by the flux tube's evolution in a configuration
space described by a normalized inverse aspect-ratio $\bar{k}$ and
current-to-magnetic flux ratio $\bar{\lambda}$. A lengthening current-carrying
magnetic flux tube traverses this $\bar{k}$ - $\bar{\lambda}$ space and crosses
stability boundaries. We derive a single general criterion for the onset of the
sausage and kink instabilities in idealized magnetic flux tubes with core and
skin currents. The criterion indicates a dependence of the stability boundaries
on current profiles and shows overlapping kink and sausage unstable regions in
the $\bar{k}$ - $\bar{\lambda}$ space with two free parameters. Numerical
investigation of the stability criterion reduces the number of free parameters
to a single one that describes the current profile, and confirms the
overlapping sausage and kink unstable regions in $\bar{k}$ - $\bar{\lambda}$
space. A lengthening, ideal current-carrying magnetic flux tube can therefore
become sausage unstable after it becomes kink unstable.

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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
1
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: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas