Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Core Mass Growth and Stellar Lifetime of Thermally Pulsing
  Asymptotic Giant Branch Stars   We establish new constraints on the intermediate-mass range of the
initial-final mass relation by studying white dwarfs in four young star
clusters, and apply the results to study the evolution of stars on the
thermally pulsing asymptotic giant branch (TP-AGB). We show that the stellar
core mass on the AGB grows rapidly from 10% to 30% for stars with $M_{\rm
initial}$ = 1.6 to 2.0 $M_\odot$. At larger masses, the core-mass growth
decreases steadily to $\sim$10% at $M_{\rm initial}$ = 3.4 $M_\odot$. These
observations are in excellent agreement with predictions from the latest TP-AGB
evolutionary models in Marigo et al. (2013). We also compare to models with
varying efficiencies of the third dredge-up and mass loss, and demonstrate that
the process governing the growth of the core is largely the stellar wind, while
the third dredge-up plays a secondary, but non-negligible role. Based on the
new white dwarf measurements, we perform an exploratory calibration of the most
popular mass-loss prescriptions in the literature. Finally, we estimate the
lifetime and the integrated luminosity of stars on the TP-AGB to peak at $t$
$\sim$ 3 Myr and $E$ = 1.2 $\times$ 10$^{10}$ $L_\odot$ yr for $M_{\rm
initial}$ $\sim$ 2 $M_\odot$ ($t$ $\sim$ 2 Myr for luminosities brighter than
the RGB tip at $\log(L/L_{\odot})$ $>$ 3.4), decreasing to $t$ = 0.4 Myr and
$E$ = 6.1 $\times$ 10$^{9}$ $L_\odot$ yr for stars with $M_{\rm initial}$
$\sim$ 3.5 $M_\odot$. The implications of these results are discussed with
respect to general population synthesis studies that require correct modeling
of the TP-AGB phase of stellar evolution.

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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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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: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol