A simple model for coupled convection and pulsation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convection, Pulsars, Stellar Models, Stellar Oscillations, Linear Equations, Magnetohydrodynamic Stability, Nonlinear Equations, Time Dependence

Scientific paper

A generalization of Baker's one-zone pulsation model is derived that includes a simple treatment of time-dependent convection. Both nonlinear and linear effects are discussed. It is shown that even this 'first-order' approach yields interesting results. The convective flux tends to stabilize the pulsation, most effectively for red models. The turbulent pressure is always destabilizing, with the most effective phasing for 'instability strip' models (i.e., those with convective time scale equal to the dynamic time scale). It is also shown that this model is subject to a number of dynamic instabilities that could cause problems for generalized time-dependent mixing length formulations.

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