Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions of macroscopic self-consistent electromagnetic fields
  and microscopic distribution of Vlasov-Maxwell system   Strict mathematics reveals that the strict solution of a Vlasov-Maxwell
equation set cannot be of a zero-temperature mathematical form. This universal
property of Vlasov-Maxwell system can lead to a closed equation set of three
macroscopic quantities: selfconsistent fields E, B and fluid velocity u, and
hence their exact solutions.Strict solution of microscoipc distribution
governed by self-consistent electromagnetic fields is found to be a universal
extension of well-known BGK mode, which corresponds to electrostatic case.

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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom