Building of abundance stratifications in stars, due to diffusion processes

Statistics – Computation

Scientific paper

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Abundance, Diffusion, Peculiar Stars, Stellar Composition, Stellar Evolution, Computational Astrophysics, Continuity Equation, Ion Density (Concentration), Main Sequence Stars, Optical Thickness, Stellar Envelopes

Scientific paper

The temporal building of density inhomogeneities due to diffusion of a single ion in CP stars is studied. The plane parallel geometry and the optically thick approximation in two stellar envelope models is used. No provision is made for hydrodynamical effects. It is shown that, in the particular case where the diffusion velocity depends on x only through N, every perturbation of concentration generates a wave which steepens while propagating, until it is balanced by linear effects. In the general case, it is observed numerically that equilibrium solutions, were almost always reached in times shorter than the stellar lifetime and appeared to be extremely stable. This shows that the instabilities which were encountered in previous calculations of time-dependent diffusion were probably numerical and not physical. Preceding this final state, a transient phase obtains eventually, in which significant time and space fluctuations occur. It is suggested that part of the spread of abundances observed on Main Sequence CP stars belonging to the same category may be due to such transient states.

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