Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-ranged order and flow alignment in sheared $p-$atic liquid crystals   We formulate a hydrodynamic theory of $p-$atic liquid crystals, namely
two-dimensional anisotropic fluids endowed with generic $p-$fold rotational
symmetry. Our approach, based on an order parameter tensor that directly
embodies the discrete rotational symmetry of $p-$atic phases, allows us to
unveil several unknown aspects of flowing $p-$atics, that previous theories,
characterized by ${\rm O(2)}$ rotational symmetry, could not account for. This
includes the onset of long-ranged orientational order in the presence of a
simple shear flow of arbitrary shear rate, as opposed to the standard
quasi-long-ranged order of two-dimensional liquid crystals, and the possibility
of flow alignment at large shear rates.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn