Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ordering Kinetics of Canted and Uniform States in Nematic Liquid
  Crystals   We undertake a comprehensive Monte Carlo (MC) study of the ordering kinetics
in nematic liquid crystals (NLCs) in 3-dimensions $(d=3)$ by performing deep
quenches from the isotropic $(T>T_c)$ to the nematic $(T<T_c)$ phase. The
inter-molecular potential between the nematogens, represented by continuous
$O(3)$ spins with inversion symmetry, is accurately mimicked by the {\it
generalised Lebwohl Lasher} (GLL) model. It incorporates second and fourth
order Legendre interactions, and their relative interaction strength is
$\lambda$. For $\lambda <-0.3$, we observe {\it canted} morphologies with a
$\lambda$-dependent angle-of-tilt between the neighbouring rod-like molecules.
For $\lambda \geq-0.3$, the molecules align to yield {\it uniform} states. The
coarsening morphologies obey {\it generalized dynamical scaling} in the two
regimes, but the scaling function is not robust with respect to $\lambda$. The
structure factor tail in the canted regime follows the {\it Porod law}:
$S(k,t)\sim k^{-4}$, implying that the coarsening dynamics is due to the
annihilation of interfacial defects. This is unexpected, as the GLL model is
characterised by a continuous order parameter. The uniform regime on the other
hand, exhibits the expected {\it generalized Porod decay}: $S(k,t)\sim k^{-5}$,
characteristic of scattering from {\it string defects}. Finally, the domain
growth obeys the {\it Lifshitz-Allen-Cahn law}: $L(t)\sim t^{1/2}$ for all
values of $\lambda$. Our results for the novel {\it canted} regime are relevant
for a large class of systems with orientational ordering, e.g. active matter,
membranes, LC elastomers, etc. We hope that our work triggers-off stimulating
investigations in them.

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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex