Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Investigation of the Dynamics of a Thin Film Type II
  Superconductor with and without Disorder   The equilibrium dynamics of a thin film type II superconductor with spherical
geometry are investigated numerically in a simulation based on the lowest
Landau level approximation to the time-dependent Ginzburg-Landau equation. Both
the static and time-dependent density-density correlation functions of the
superconducting order parameter have been investigated. As the temperature is
lowered the correlation length, the length-scale over which the vortices have
short-range crystalline order, increases but the introduction of quenched
random disorder reduces this correlation length. We see no signs of a phase
transition in either the pure or the disordered case. For the disordered system
there is no evidence for the existence of a Bragg glass phase with quasi
long-range correlations. The dynamics in both the pure and disordered systems
is activated, and the barrier of the relaxation mechanism grows linearly with
the correlation length. The self-diffusion time scale of the vortices was also
measured and has the same temperature dependence as that of the longest time
scales found in the time dependent density-density correlation function. The
dominant relaxation mechanism observed is a change in orientation of a
correlated region of size of the correlation length. A scaling argument is
given to explain the value of the barrier exponent.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org