A&A 375, 149-154 (2001)
DOI: 10.1051/0004-6361:20010849
Lithium as a passive tracer probing the rotating solar tachocline turbulence
G. Rüdiger1, 2 and V. V. Pipin1, 31 Astrophysikalisches Institut Potsdam, An der Sternwarte 16, 14482 Potsdam, Germany
2 Department of Mathematics, University of Newcastle upon Tyne, NE1 7RU, UK
3 Institute for Solar-Terrestrial Physics, PO Box 4026, Irkutsk 664033, Russia
(Received 25 February 2000 / Accepted 7 June 2001 )
Abstract
The rotational influence on the eddy-diffusivity tensor Dij for
anisotropic turbulence fields is considered in order to explain
the lithium decay law during the spin-down process of
solar-type stars. Rotation proves to be highly effective in
the transfer of chemicals through the solar tachocline (beneath the
convection zone) which is assumed to contain only turbulence
with horizontal motions. The effect is so strong that the
tachocline turbulence must not exceed a limit of
of the rms velocity in the convection
zone in order to let the lithium survive after
Gigayears. Such long depletion times can also be explained by
a very small rotational influence upon the eddy-diffusion
tensor if it is realized with correlation times shorter
than 15 min. It is argued that such slow and/or
short-living turbulence beneath the convection zone could hardly
drive the solar dynamo.
In our theory the diffusion remains small for rapid rotation due to the
rotational quenching of the turbulence. In young stellar clusters like
Pleiades, there should be a (positive) correlation between rotation rate and
lithium abundance, where the fastest stars should have maximal lithium. First inspections of the data seem to confirm this
finding.
Key words: turbulence -- stars: abundances -- stars: rotation
Offprint request: G. Rüdiger, gruediger@aip.de
© ESO 2001
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