Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability of noise-induced separatrix crossing for inertial particles
  in flows   The motion of weakly inertial Brownian particles, transported by steady
two-dimensional fluid flows, is investigated by means of asymptotic methods. We
focus on the phenomenon of noise-induced separatrix crossing, which can force
particles to enter or exit recirculation cells in an unpredictable manner. An
analytical expression for the probability of separatrix crossing is obtained.
It can be applied to a wide variety of flows, provided some elementary
kinematical quantities of the fluid flow are known. It does not require to
solve particle trajectories.

27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph