Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Size Dependence in Flux-Flow Hall Effect using Time-Dependent
  Ginzburg-Landau Equations   We study the Hall effect in square, planar type-II superconductors using
numerical simulations of time dependent Ginzburg-Landau (TDGL) equations. The
Hall field in some type-II superconductors displays sign-change behavior at
some magnetic fields due to the induced field of vortex flow, when its
contribution is strong enough to reverse the field direction. In this work, we
use modified TDGL equations which couple an externally applied current, and
also incorporate normal-state and flux-flow Hall effects. We obtain the profile
of Hall angle as a function of applied magnetic field for four different sizes
(l\times l) of the superconductor: l/ \xi belongs to {3, 5, 15, 20}. We obtain
vastly different profiles for each size, proving that size is an important
parameter that determines Hall behavior. We find that electric field dynamics
provides an insight into several anomalous features including signchange of
Hall angle, and leads us to the precise transient behavior of order parameter
responsible for them.

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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: eess
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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: nucl-th