Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic description of anomalous diffusion in heterogeneous
  environments: Fokker-Planck equation without fractional derivatives   We present a model of diffusion in heterogeneous environment, which
qualitatively reflects the transport properties of a polymeric membrane with
carbon nanotubes. We derived Fokker-Planck equation from system of stochastic
equations, responding diffusion regime in polymer and ballistic regime in
nanotube areas. We show how probability density function is changed in presence
of nanotube areas. Hereupon nonlinear time dependence of mean square
displacement is observed, that indicates anomalous diffusion regime. Thus, the
model explains mechanism of appearance of anomalous diffusion for
diffusion-ballistic regime. Our approach does not suppose any type of
distributions and using fractional differentiate apparatus.

31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin