Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chemical mixing by turbulent convection in the overshooting region below
  the convective envelope of RGB stars   Based on the turbulent convection model (TCM), we investigate chemical mixing
in the bottom overshooting region of the convective envelope of
intermediate-mass stars, focusing on its influence on the formation and
extension of blue loops in the Hertzsprung-Russell (HR) diagram. A diffusive
mixing model is adopted during the Red Giant Branch (RGB) phase. The properties
of the blue loop are changed by modification of the element profiles above the
H-burning shell, which results from the incomplete mixing in the bottom
overshooting region when stellar model evolves up along the RGB. Such
modification of the element profiles will lead to an increase of the opacity in
the region just above the H-burning shell and a decrease of the opacity in the
outer homogeneous convection zone, which will result in a quick decrease of the
H-shell nuclear luminosity $L_{H}$ when the stellar model evolves from the RGB
tip to its bottom and, finally, a much weaker and smaller convection zone will
be obtained in the stellar envelope. This helps to form a longer blue loop. The
extension of the blue loop is very sensitive to the parameters $(C_{X}$ and
$\alpha_{TCM})$ of the diffusive mixing model and of the TCM. The results
mainly show that: 1) comparing to the results of the classical model with the
mixing-length theory, the lengths of the obtained blue loops with different
combinations of the values of $C_{X}$ and $\alpha_{TCM}$ are all increased and
the length of the blue loop increases with the values of parameters
  $C_{X}$ and $\alpha_{TCM}$; 2) the diffusive mixing model can significantly
extend the time of stellar models lingering on the blue side of the HR diagram,
even though the length of the blue loop for the 7$M_{\odot}$ star has a less
prominent difference between the classical and diffusive mixing model;

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The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat