Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automodel solutions for superdiffusive transport by the L\'evy walks   The method of approximate automodel solution for the Green's function of the
time-dependent superdiffusive (nonlocal) transport equations (J. Phys. A: Math.
Theor. 49 (2016) 255002) is extended to the case of a finite velocity of
carriers. This corresponds to extension from the L\'evy flights-based transport
to the transport of the type, which belongs to the class of "L\'evy walk +
rests", to allow for the retardation effects in the L\'evy flights. This
problem covers the cases of the transport by the resonant photons in
astrophysical gases and plasmas, heat transport by electromagnetic waves in
plasmas, migration of predators, and other applications. We treat a model case
of one-dimensional transport on a uniform background with a simple power-law
step-length probability distribution function (PDF). A solution for arbitrary
superdiffusive PDF is suggested, and the verification of solution for a
particular power law PDF, which corresponds, e.g., to the Lorentzian wings of
atomic spectral line shape for emission of photons, is carried out using the
computation of the exact solution.

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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th