Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of electrodynamically levitated one or many charged droplets
  in the presence of noise   The theory of the effect of external fluctuation force on the stability and
spatial distribution of mutually interacting and slowly evaporating charged
drops, levitated in an electrodynamic balance, is presented using classical
pseudo-potential approach. The theory is supplemented with numerical
simulations where the non-homogeneous modified Mathieu equation is solved for
single droplet as well as many droplets. The transition from the well ordered
Coulombic crystal to randomly distributed liquid like structure is observed
above a threshold value of the order parameter. The theory and simulations are
found to be in fair agreement with each other. The simulation is aimed at
studying the stability of structures for capturing the pollutant particle form
the air streams using contactless membrane.

31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph