Some embarrassments in current treatments of convective overshooting

Statistics – Computation

Scientific paper

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Computational Astrophysics, Convective Flow, Stellar Cores, Stellar Evolution, Stellar Structure

Scientific paper

Convective overshooting beyond formal convective boundaries has been often considered in the context of stellar structure and evolution, owing to its potentially important implications. A common approach consists in adopting concepts and methods derived from the classical mixing length theory (MLT), but the results seem to depend critically on the actual sequence of operations followed in estimating overshooting distances. In this paper several versions of the MLT approach to overshooting from convective cores are analyzed, and it is argued that a confusion between local and nonlocal quantities introduces a fatal physical inconsistency, which invalidates the corresponding overshooting algorithms used in stellar evolutionary calculations. It is further argued that the MLT is unlikely to provide an adequate description of convective overshooting, and possible alternatives are briefly discussed.

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