Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behaviour of rotating convection-driven dynamos in the plane
  layer geometry   Dynamos driven by rotating convection in the plane layer geometry are
investigated numerically over a range of Ekman number ($E$), Rayleigh number
($Ra$) and magnetic Prandtl number ($Pm$). The asymptotic behaviour of the
system is investigated. All of the simulations are in the quasi-geostrophic
regime in which the Coriolis and pressure gradient forces are approximately
balanced at leading order, whereas all other forces, including the Lorentz
force, act as perturbations. The flow regimes range from laminar to turbulent.
Scalings for the energetics, flow speeds, magnetic field amplitude and length
scales are presented. The transition from large scale dynamos to small scale
dynamos is well described by the magnetic Reynolds number based on the small
convective length scale, $\widetilde{Rm}$; large scale dynamos dominate when
$\widetilde{Rm} \lesssim O(1)$. The strength of the large scale magnetic field
saturates at a finite Rayleigh number. Energy spectra show that all length
scales of the flow field and magnetic field scale are consistent with a scaling
of $E^{1/3}$, irrespective of flow regime. The viscous dissipation length scale
is approximately constant over the investigated parameter range. The ohmic
dissipation length scale shows two regimes: it remains approximately constant
and comparable to the viscous dissipation length scale in the large scale
dynamo regime; it then transitions to a $\widetilde{Rm}^{-1/2}$ scaling in the
small scale dynamo regime.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cs