Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Linear Langevin and Fractional Fokker-Planck Equations for Anomalous
  Diffusion by Levy Stable Processes   The~numerical solutions to a non-linear Fractional Fokker--Planck (FFP)
equation are studied estimating the generalized diffusion coefficients. The~aim
is to model anomalous diffusion using an FFP description with fractional
velocity derivatives and Langevin dynamics where L\'{e}vy fluctuations are
introduced to model the effect of non-local transport due to fractional
diffusion in velocity space. Distribution functions are found using numerical
means for varying degrees of fractionality of the stable L\'{e}vy distribution
as solutions to the FFP equation. The~statistical properties of the
distribution functions are assessed by a generalized normalized expectation
measure and entropy and modified transport coefficient. The~transport
coefficient significantly increases with decreasing fractality which is
corroborated by analysis of experimental data.

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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph