The Schwarzschild criterion for convection in the presence of a magnetic field
The Schwarzschild criterion governing the onset of convective instability has been modified to include magnetic field. This may be of importance for solar variability. The revised condition suggests that the underside of field layers are stabilizing and the upper side destabilizing. Absolute instability can be reached to achieve conventional magnetic buoyancy. This may explain the inverse correlation between the time intervals between sunspot minima and sunspot maxima with the maximum values of sunspot number, which is found to be significant at the 5.5 sigma level.