Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Dynamics and Dissipation of a Curvilinear Vortex Driven by a
  Strong Time-Dependent Meissner Current   We report numerical simulations of large-amplitude oscillations of a trapped
vortex line under a strong ac magnetic field $H(t)=H\sin\omega t$ parallel to
the surface. The power dissipated by an oscillating vortex segment driven by
the surface ac Meissner currents was calculated by taking into account the
nonlinear vortex line tension, vortex mass and a nonlinear Larkin-Ovchinnikov
(LO) viscous drag coefficient $\eta(v)$. We show that the LO decrease of
$\eta(v)$ with the vortex velocity $v$ can radically change the field
dependence of the surface resistance $R_i(H)$ caused by trapped vortices. At
low frequencies $R_i(H) $ exhibits a conventional increases with $H$, but as
$\omega$ increases, the surface resistance becomes a nonmonotonic function of
$H$ which decreases with $H$ at higher fields. The effects of frequency, pin
spacing and the mean free path $l_i $ on the field dependence of $R_{i}(H) $
were calculated. It is shown that, as the surface gets dirtier and $l_i$
decreases, the anomalous drop of $ R_{i}(H) $ with $H$ shifts to lower fields
which can be much smaller than the lower critical magnetic field. Our numerical
simulations also show that the LO decrease of $\eta(v)$ with $v$ can cause a
vortex bending instability at high field amplitudes and frequencies, giving
rise to the formation of dynamic kinks along the vortex. Measurements of
$R_i(H)$ caused by sparse vortices trapped perpendicular to the surface can
offer opportunities to investigate an extreme nonlinear dynamics of vortices
driven by strong current densities up to the depairing limit at low
temperatures. The behavior of $R_i(H)$ which can be tuned by varying the rf
frequency or concentration of nonmagnetic impurities is not masked by strong
heating effects characteristic of dc or pulse transport measurements.

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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin