Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributional Behaviors of Time-averaged Observables in Langevin
  Equation with Fluctuating Diffusivity: Normal Diffusion but Anomalous
  Fluctuations   We consider Langevin equation with dichotomously fluctuating diffusivity,
where the diffusion coefficient changes dichotomously in time, in order to
study fluctuations of time-averaged observables in temporary heterogeneous
diffusion process. We find that occupation time statistics is a powerful tool
for calculating the time-averaged mean square displacement in the model. We
show that the time-averaged diffusion coefficients are intrinsically random
when the mean sojourn time for one of the states diverges. Our model provides
anomalous fluctuations of time-averaged diffusivity, which have relevance to
large fluctuations of the diffusion coefficient in single-particle-tracking
experiments.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci