Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the geometric stability of an inorganic nanowire and an organic
  ligand shell   The break-up of a nanowire with an organic ligand shell into discrete
droplets is analysed in terms of the Rayleigh-Plateau instability. Explicit
account is taken of the effect of the organic ligand shell upon the energetics
and kinetics of surface diffusion in the wire. Both an initial perturbation
analysis and a full numerical analysis of the evolution in wire morphology are
conducted, and the governing non-dimensional groups are identified. The
perturbation analysis is remarkably accurate in obtaining the main features of
the instability, including the pinch-off time and the resulting diameter of the
droplets. It is conjectured that the surface energy of the wire and surrounding
organic shell depends upon both the mean and deviatoric invariants of the
curvature tensor. Such a behaviour allows for the possibility of a stable
nanowire such that the Rayleigh-Plateau instability is not energetically
favourable. A stability map illustrates this. Maps are also constructed for the
final droplet size and pinch-off time as a function of two non-dimensional
groups that characterise the energetics and kinetics of diffusion in the
presence of the organic shell. These maps can guide future experimental
activity on the stabilisation of nanowires by organic ligand shells.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom