Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Empty smectics of hard nanorings: insights from a second-virial theory   Inspired by recent simulations on highly open liquid crystalline structures
formed by rigid planar nanorings we present a simple theoretical framework
explaining the prevalence of smectic over nematic ordering in systems of
ring-shaped objects. The key part of our study is a calculation of the excluded
volume of such non-convex particles in the limit of vanishing thickness to
diameter ratio. Using a simple stability analysis we then show that dilute
systems of ring-shaped particles have a strong propensity to order into smectic
structures with an unusual antinematic order while solid disks of the same
dimensions exhibit nematic order. Since our model rings have zero internal
volume these smectic structures are essential empty, resembling the strongly
porous structures found in simulation. We argue that the antinematic
intralamellar order of the rings plays an essential role in stabilizing these
novel smectic structures.

33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th