Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power law relaxation and glassy dynamics in Lebwohl-Lasher model near
  isotropic-nematic phase transition   Orientational dynamics in a liquid crystalline system near the
isotropic-nematic (I-N) phase transition is studied using Molecular Dynamics
simulations of the well-known Lebwohl-Lasher (LL) model. As the I-N transition
temperature is approached from the isotropic side, we find that the decay of
the orientational time correlation functions (OTCF) slows down noticeably,
giving rise to a power law decay at intermediate timescales. The angular
velocity time correlation function also exhibits a rather pronounced power law
decay near the I-N boundary. In the mean squared angular displacement at
comparable timescales, we observe the emergence of a \emph{subdiffusive regime}
which is followed by a \emph{superdiffusive regime} before the onset of the
long-time diffusive behavior. We observe signature of dynamical heterogeneity
through \emph{pronounced non-Gaussian behavior in orientational motion}
particularly at lower temperatures. This behavior closely resembles what is
usually observed in supercooled liquids. We obtain the free energy as a
function of orientational order parameter by the use of transition matrix Monte
Carlo method. The free energy surface is flat for the system considered here
and the barrier between isotropic and nematic phases is vanishingly small for
this weakly first-order phase transition, hence allowing large scale,
collective and correlated orientational density fluctuations. This might be
responsible for the observed power law decay of the OTCFs.

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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th