Finite eddy-size effects on centre-to-limb variations - an alternative to anisotropic microturbulence

Astronomy and Astrophysics – Astrophysics

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Atmospheric Turbulence, Solar Spectra, Spectral Line Width, Turbulence Effects, Velocity Distribution, Plasma Turbulence, Radiative Transfer, Solar Limb, Stochastic Processes

Scientific paper

An attempt is presented to explain the center-to-limb increase in width of solar lines on the basis of the theory of line formation in a turbulent medium where finite eddy-size is taken into account (Auvergne et al., 1973). Hydrodynamic velocities along the line of sight are represented by a step-wise constant stochastic process (Kubo-Anderson Process), with Gaussian isotropic velocity distribution and an arbitrary variation of the eddy-size with the continuum optical depth. For the simplest case of constant geometrical eddy-size, the profiles are found to be wider at the limb than at the center; this is because the optical size of the eddies decreases towards the limb, bringing us closer to the microturbulent limit. An application to the forbidden Mg I 4571 A line shows that this effect accounts for much of the observed widening, without recourse to ad-hoc assumptions such as depth variation of the microturbulent velocity or anisotropic microturbulence.

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