Qualitative explanations for red giant formation

Statistics – Computation

Scientific paper

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Computational Astrophysics, Red Giant Stars, Star Formation, Stellar Interiors, Radiative Transfer, Stellar Envelopes, Stellar Luminosity, Stellar Models

Scientific paper

Recent research on giant formation has focused on the need for qualitative explanations. The explanations have the following general, qualitative form: the polytrope n assumes a certain value, that makes (d ln r)/(d ln z) take on a very large value; large increases in r can then be explained in terms of small changes in the variable z. This form is applicable to all the explanations current in the literature: they all have (1) either implicitly or explicitly, both a hydrostatic component and a luminosity-opacity component, and (2) a reliance on singular solutions. Dimensional analysis reveals that power laws that assume the polytrope n to 5 are identical in both the hydrostatic and luminosity-based explanations.

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