Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic Modelling of Phase Equilibrium in Nanoparticles-Nematic
  Liquid Crystals Composites   In this work, a theoretical study of phase equilibrium in mixtures of a
calamitic nematic liquid crystal and hard spherical nanoparticles is presented.
A mean-field thermodynamic model is used, where the interactions are considered
to be proportional to the number of contacts, which in turn are proportional to
the areas and area fractions of each component. It is shown that, as the radius
of the particle is increased, the effect of the particles on the
isotropic-nematic transition is less pronounced, and that for large radius the
miscibility increases as the particle radius increases.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs