Statistics – Computation
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...266..291r&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 266, no. 1, p. 291-293.
Statistics
Computation
28
Stellar Cores, Stellar Evolution, Computational Astrophysics, Stellar Convection
Scientific paper
The Integral Constraint on convective penetration gives an upper limit on the extent of convective penetration. If this is applied to small convective cores then the maximum extent of the penetration region is shown to be at most about 0.18 times the radius of the core independent of the details of energy generation and opacity. For larger cores the penetration distance depends on the particular properties of the nuclear reactions and opacity. Using simple power law approximations for the energy generation and opacity, the upper bound to the penetration distance is found to be approximately 0.2 of the core radius, and the core mass to be about 1.8 times the value without penetration, for a range of conditions and core sizes. The ratio of the maximum penetration distance to the scale height at the edge of the 'classical boundary' varies very strongly with core size, and modelling penetration by taking the penetration distance as a multiple of the scale height is likely to give misleading results. This is especially true for small cores such as exist in the early stages of the evolution of solar type stars.
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