Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of magnetic configurations containing the toroidal and axial
  fields   Stability properties of magnetic-field configurations containing the toroidal
and axial field are considered. The stability is treated by making use of
linear analysis. It is shown that the conditions required for the onset of
instability are essentially different from those given by the necessary
condition $d (s B_{\phi})/ds > 0$, where $s$ is the cylindrical radius. The
growth rate of instability is calculated for a wide range of the parameters. We
argue that the instability can operate in two different regimes depending on
the strength of the axial field and the profile of the toroidal field.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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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: stat