Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of a periodic system of relativistic current
  filaments   The nonlinear evolution of current filaments generated by the Weibel-type
filamentation instability is a topic of prime interest in space and laboratory
plasma physics. In this paper, we investigate the stability of a stationary
periodic chain of nonlinear current filaments in counterstreaming pair plasmas.
We make use of a relativistic four-fluid model and apply the Floquet theory to
compute the two-dimensional unstable eigenmodes of the spatially periodic
system. We examine three different cases, characterized by various levels of
nonlinearity and asymmetry between the plasma streams: a weakly nonlinear
symmetric system, prone to purely transverse merging modes; a strongly
nonlinear symmetric system, dominated by coherent drift-kink modes whose
transverse periodicity is equal to, or an integer fraction of the unperturbed
filaments; a moderately nonlinear asymmetric system, subject to a mix of kink
and bunching-type perturbations. The growth rates and profiles of the
numerically computed eigenmodes agree with particle-in-cell simulation results.
In addition, we derive an analytic criterion for the transition between
dominant filament-merging and drift-kink instabilites in symmetric two-beam
systems.

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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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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: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: adap-org