Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse density fluctuations around the ground state distribution of
  counterions near one charged plate: stochastic density functional view   We consider the Dean-Kawasaki (DK) equation of overdamped Brownian particles
that forms the basis of the stochastic density functional theory. Recently, the
linearized DK equation has successfully reproduced the full Onsager theory of
symmetric electrolyte conductivity. In this paper, the linear DK equation is
applied to investigate density fluctuations around the ground state
distribution of strongly coupled counterions near a charged plate, focusing
especially on the transverse dynamics along the plate surface. Consequently, we
find a crossover scale above which the transverse density dynamics appears
frozen and below which diffusive behavior of counterions can be observed on the
charged plate. The linear DK equation provides a characteristic length of the
dynamical crossover that is similar to the Wigner-Seitz radius used in
equilibrium theory for the 2D one-component plasma, which is our main result.
Incidentally, general representations of longitudinal dynamics vertical to the
plate further suggest the existence of advective and electrically reverse
flows; these effects remain to be quantitatively investigated.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th