Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sound Speed in a Random Flow and Turbulent Shifts of the Solar
  Eigenfrequencies   Perturbation theory is used to calculate the frequency shift of acoustic
modes of an homogeneous turbulent fluid and the frequency shifts of solar modes
due to turbulent convection. For sound waves in a random flow, the fractional
frequency shift is +(11/30)M^2 in the long-wavelength limit, and the shift at
short wavelengths is -(2/3)M^2, where M is the average Mach number of the flow.
In our model of the solar convection, the low-degree f-mode shift is positive
and unobservably small, whereas the fractional frequency shift at high degrees
(l\gg 500) is -M^2, where M is the Mach number of convection near the solar
surface.

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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess