286
IONISATION, DIFFUSION, ROTATION
Whilst the secondary east and west currents are of immediate ob
servational importance, the primary currents in meridian planes are of
great interest. In the first place, they will keep the material of the star
stirred. The stirring will be slow—far too slow to change the equilibrium
from radiative to convective—but rapid compared with the diffusion of
the elements discussed in § 196. Thus any tendency of the heavy elements
to concentrate at the centre will be frustrated. We shall have occasion
to use this argument in discussing subatomic energy : owing to the stirring,
when a star divides into two components each component will have the
same chemical composition, and there is no chance for the larger component
to take more than its share of the heavy elements. This conclusion is
subject to one reservation: Bjerknes has pointed out that a circulation
of this kind tends to become stratified, so that instead of one circulation
between the centre and outside we may have two or three layers of circu
lation. Each layer will then be thoroughly mixed, but there will be little
interchange between consecutive layers.
Another point is that the core of the circulation will probably be a
pair of vortices, each vortex being of the form of an anchor ring about the
polar axis. This is the postulate of a theory proposed by V. Bjerknes to
account for many of the magnetic and periodic properties of sunspots.
At any rate, the recognition of an internal circulation of this kind offers
a hope of explaining many details of the surface phenomena of the sun
which would be difficult to account for in an entirely static star.
It has been urged by B. Gerasimovic* that what I have here called the
secondary currents are really the principal currents. The currents in
meridian planes would, he considers, not be permanent, whereas a dis
tribution of circulation about the axis of rotation can have secular stability
under the dissipative force of viscosity. Admitting that there is a condition
of circulation about the axis which does not tend to alter through viscosity,
and that there is a condition of circulation about the axis which satisfies
von Zeipel’s condition (generalised to take account of varying co), it is
very unlikely that these two conditions would coincide. It is just as im
probable as that (198*1) would be satisfied in a static state. Therefore I
think there is no question of the circulation maintaining itself without
motive power; the violation of von Zeipel’s condition gives an unequal
heating which supplies the motive power for the currents required to
restore the condition; and the important point is that the motive power
primarily causes currents in the meridian planef.
* Observatory, 48, p. 148.
f I think that this shows that the circulation in meridian planes will be at any
rate sufficient to keep the light and heavy elements from separating. Gerasimovic
may be right in holding that this circulation remains small compared with the
east and west circulation (owing to the greater friction); in that case the result
would not be so favourable to Bjerknes’s theory.