Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rectification of asymmetric surface vibrations with dry friction: an
  exactly solvable model   We consider a stochastic model for the directed motion of a solid object due
to the rectification of asymmetric surface vibrations with Poissonian
shot-noise statistics. The friction between the object and the surface is given
by a piecewise-linear friction force. This models the combined effect of
dynamic friction and singular dry friction. We derive an exact solution of the
stationary Kolmogorov-Feller (KF) equation in the case of two-sided
exponentially distributed amplitudes. The stationary density of the velocity
exhibits singular features such as a discontinuity and a delta-peak singularity
at zero velocity, and also contains contributions from non-integrable solutions
of the KF equation. The mean velocity in our model generally varies
non-monotonically as the strength of the dry friction is increased, indicating
that transport improves for increased dissipation.

2
The categories of this paper are: math
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph