Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion in Agitated Frictional Granular Matter Near the Jamming
  Transition   We study agitated frictional disks in two dimensions with the aim of
developing a scaling theory for their diffusion over time. As a function of the
area fraction $\phi$ and mean-square velocity fluctuations $\langle v^2\rangle$
the mean-square displacement of the disks $\langle d^2\rangle$ spans 4-5 orders
of magnitude. The motion evolves from a subdiffusive form to a complex
diffusive behabvior at long times. The statistics of $\langle d^n\rangle$ at
all times are multiscaling, since the probability distribution function (pdf)
of displacements has very broad wings. Even where a diffusion constant can be
identified it is a complex function of $\phi$ and $\langle v^2\rangle$. By
identifying the relevant length and time scales and their interdependence one
can rescale the data for the mean square displacement and the pdf of
displacements into collapsed scaling functions for all $\phi$ and $\langle
v^2\rangle$. These scaling functions provide a predictive tool, allowing to
infer from one set of measurements (at a given $\phi$ and $\langle v^2\rangle$)
what are the expected results at any value of $\phi$ and $\langle v^2\rangle$.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph