Linear Solar Models

Abstract

We present a new approach to study the properties of the sun. We consider small variations of the physical and chemical properties of the sun with respect to Standard Solar Model predictions and we linearize the structure equations to relate them to the properties of the solar plasma. By assuming that the (variation of) the present solar composition can be estimated from the (variation of) the nuclear reaction rates and elemental diffusion efficiency in the present sun, we obtain a linear system of ordinary differential equations which can be used to calculate the response of the sun to an arbitrary modification of the input parameters (opacity, cross sections, etc.). This new approach is intended to be a complement to the traditional methods for solar model calculation and allows to investigate in a more efficient and transparent way the role of parameters and assumptions in solar model construction. We verify that these Linear Solar Models recover the predictions of the traditional solar models with an high level of accuracy.

29 pages, 10 figures

References in corpus (5)

• The chemical composition of the Sun
• Updated Electron-Conduction Opacities: The Impact on Low-Mass Stellar Models
• Solar neutrino measurements in Super-Kamiokande-II
• Helioseismology and Solar Abundances
• The 3He(alpha,gamma)7Be S-factor at solar energies: the prompt gamma experiment at LUNA

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• A step toward CNO solar neutrinos detection in liquid scintillators
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• Solar opacity calculations using the super-transition-array method
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• New solar metallicity measurements
• Implications of solar wind measurements for solar models and composition
• Solar models in light of new high metallicity measurements from solar wind data
• The luminosity constraint in the era of precision solar physics
• Generic energy transport solutions to the solar abundance problem -- a hint of new physics
• Hypothesis about Enrichment of Solar System
• The fluxes of CN neutrinos from the Sun in case of mixing in a spherical layer in the solar core