Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Slip Solutions in Magnetically Modulated Taylor-Couette Flow   We numerically investigate Taylor-Couette flow in a wide-gap configuration,
with $r_i/r_o=1/2$, the inner cylinder rotating, and the outer cylinder
stationary. The fluid is taken to be electrically conducting, and a magnetic
field of the form $B_z\approx(1 + \cos(2\pi z/z_0))/2$ is externally imposed,
where the wavelength $z_0=50(r_o-r_i)$. Taylor vortices form where the field is
weak, but not where it is strong. As the Reynolds number measuring the rotation
rate is increased, the initial onset of vortices involves phase slip events,
whereby pairs of Taylor vortices are periodically formed and then drift
outward, away from the midplane where $B_z=0$. Subsequent bifurcations lead to
a variety of other solutions, including ones both symmetric and asymmetric
about the midplane. For even larger Reynolds numbers a different type of phase
slip arises, in which vortices form at the outer edges of the pattern and drift
inward, disappearing abruptly at a certain point. These solutions can also be
symmetric or asymmetric about the midplane, and co-exist at the same Reynolds
number. Many of the dynamics of these phase slip solutions are qualitatively
similar to previous results in geometrically ramped Taylor-Couette flows.

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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas