Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced description method in the kinetic theory of Brownian motion with
  active fluctuations   We develop a microscopic approach to the kinetic theory of many-particle
systems with dissipative and potential interactions in presence of active
fluctuations. The approach is based on a generalization of
Bogolyubov--Peletminsky reduced description method applied to the systems of
many active particles. It is shown that the microscopic approach developed
allows to construct the kinetic theory of two- and three-dimensional systems of
active particles in presence of non-linear friction (dissipative interaction)
and an external random field with active fluctuations. The kinetic equations
for these systems in case of a weak interaction between the particles (both
potential and dissipative) and low-intensity active fluctuations are obtained.
We demonstrate particular cases in which the derived kinetic equations have
solutions that match the results known in the literature. It is shown that the
display of the head-tail asymmetry and self-propelling even in the case of a
linear friction, is one of the consequences of the local nature of the active
fluctuations.

32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol