Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transient anomalous diffusion in heterogeneous media with stochastic
  resetting   We investigate a diffusion process in heterogeneous media where particles
stochastically reset to their initial positions at a constant rate. The
heterogeneous media is modeled using a spatial-dependent diffusion coefficient
with a power-law dependence on particles' positions. We use the Green function
approach to obtain exact solutions for the probability distribution of
particles' positions and the mean square displacement. These results are
further compared and agree with numerical simulations of a Langevin equation.
We also study the first-passage time problem associated with this diffusion
process and obtain an exact expression for the mean first-passage time. Our
findings show that this system exhibits non-Gaussian distributions, transient
anomalous diffusion (sub- or superdiffusion) and stationary states that
simultaneously depend on the media heterogeneity and the resetting rate. We
further demonstrate that the media heterogeneity non-trivially affect the mean
first-passage time, yielding an optimal resetting rate for which this quantity
displays a minimum.

34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th