Inversion for the adiabatic gradient γ1 to examine equation-of-state effects

Computer Science – Sound

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Data Analysis, Solar Interior

Scientific paper

The inversion method SOLA (subtractive optimally localized averages) has been successfully applied to study various properties of the solar interior. The focus of the present work is on the microscopic properties of solar matter. The following topics are prime targets of our investigation: (I) ionization of helium and heavy-elements in the deeper parts of the convection zone; (II) the discrepancy in the results of the helioseismic helium abundance determination from different inversion procedures; (III) the possibility of a remainder of not fully ionized helium in the solar core. For the diagnosis of the equation of state, an inversion for the adiabatic gradient γ1 = (∂ln p/∂ln ρ)s (s being specific entropy), and not sound speed, is the most appropriate. This is because the adiabatic gradient is mainly a function of the microscopic physics (ionization reaction; Coulomb pressure correction; pressure ionization; etc.) rather than the macroscopic structure of the model. We are adopting the inversion technique of Basu, Däppen & Nayfonov (1999) and modify it for our purposes. Preliminary results are presented in this paper.

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