Mixing path theory

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The mixture way theory (Engl. Mixing length theory (MLT) ) is a simple method to the convection inside stars to deal with.

It is assumed that the star is in hydrostatic equilibrium and that convection takes place independently of time, that is, the internal structure of stars changes much more slowly than convection takes place. The mixing length is the distance that a mass element covers until it is merged with its surroundings.

${\displaystyle l_{m}=\alpha _{\mathrm {MLT} }\times H_{P}}$

${\displaystyle \alpha _{\mathrm {MLT} }}$is determined so that the theoretical values ​​match the observations. is an order of magnitude for the radial distance over which the pressure conditions inside a star change significantly. The following applies: ${\displaystyle H_{P}}$

${\displaystyle H_{P}={\frac {P}{g\rho }}}$

with the prevailing pressure , the gravitational acceleration and the local density . ${\displaystyle P}$ ${\displaystyle g}$ ${\displaystyle \rho }$

Individual evidence

1. ^ Kippenhahn, R. & Weigert, A., 1994, Stellar structure and evolution, Springer-Verlag, 3rd corrected printing