Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A statistical field theory of salt solutions of 'hairy' dielectric
  particles   In this paper, we formulate a field-theoretical model of dilute salt
solutions of electrically neutral spherical colloid particles. Each colloid
particle consists of a 'central' charge that is situated at the center and
compensating peripheral charges (grafted to it) that are fixed or fluctuating
relative to the central charge. In the framework of the random phase
approximation, we obtain a general expression for electrostatic free energy of
solution and analyze it for different limiting cases. In the limit of infinite
number of peripheral charges, when they can be modelled as a continual charged
cloud, we obtain an asymptotic behavior of the electrostatic potential of a
point-like test charge in a salt colloid solution at long distances,
demonstrating the crossover from its monotonic decrease to damped oscillations
with a certain wavelength. We show that the obtained crossover is determined by
certain Fisher-Widom line. For the same limiting case, we obtain an analytical
expression for the electrostatic free energy of a salt-free solution. In the
case of nonzero salt concentration, we obtain analytical relations for the
electrostatic free energy in two limiting regimes. Namely, when the ionic
concentration is much higher than the colloid concentration and the effective
size of charge cloud is much bigger than the screening lengths that are
attributed to the salt ions and the central charges of colloid particles. The
proposed theory could be useful for theoretical description of the phase
behavior of salt solutions of metal-organic complexes and polymeric stars.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org