Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic solution of the fractional advection diffusion equation for the
  time-of-flight experiment in a finite geometry   A general analytic solution to the fractional advection diffusion equation is
obtained in plane parallel geometry. The result is an infinite series of
spatial Fourier modes which decay according to the Mittag-Leffler function,
which is cast into a simple closed form expression in Laplace space using the
Poisson summation theorem. An analytic expression for the current measured in a
time-of-flight experiment is derived, and the sum of the slopes of the two
respective time regimes on logarithmic axes is demonstrated to be -2, in
agreement with the well known result for a continuous time random walk model.
The sensitivity of current and particle number density to variation of
experimentally controlled parameters is investigated in general, and the
results applied to analyze selected experimental data.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga