Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heterogeneous nucleation of/on nanoparticles: a density functional study
  using the phase-field crystal model   Crystallization of supersaturated liquids usually starts by heterogeneous
nucleation. Mounting evidence shows that even homogeneous nucleation in simple
liquids takes place in two steps; first a dense amorphous precursor forms, and
the crystalline phase appears via heterogeneous nucleation in/on the precursor
cluster. Herein, we review recent results by a simple dynamical density
functional theory, the phase-field crystal model, for (precursor-mediated)
homogeneous and heterogeneous nucleation of nanocrystals. It will be shown that
the mismatch between the lattice constants of the nucleating crystal and the
substrate plays a decisive role in determining the contact angle and nucleation
barrier, which were found to be non-monotonic functions of the lattice
mismatch. Time dependent studies are essential as investigations based on
equilibrium properties often cannot identify the preferred nucleation pathways.
Modeling of these phenomena is essential for designing materials on the basis
of controlled nucleation and/or nano-patterning.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an