The effect of a large-scale magnetic field on light element abundances, gravity wave propagation and torsional oscillations inside the sun

Details The effect of a large-scale magnetic field on light element abundances, gravity wave propagation and torsional oscillations inside the sun The effect of a large-scale magnetic field on light element abundances, gravity wave propagation and torsional oscillations inside the sun

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt.........4b&link_type=abstract

Thesis (PhD). CORNELL UNIVERSITY, Source DAI-B 59/10, p. 5403, Apr 1999, 178 pages.

Computer Science

Lithium, Beryllium

Scientific paper

The presence of a large-scale magnetic field in the interior of solar-mass stars has a number of potential implications for the redistribution of angular momentum; in turn, how angular momentum is redistributed may have observable consequences for surface abundances of certain light elements. A Finite Element Method (FEM) code is used to solve the momentum and induction equations for the angular velocity and the toroidal magnetic field inside the radiative interior of a solar-mass star, assuming a static poloidal magnetic field. The resulting angular velocity profiles are used to construct a turbulent diffusivity with which the transport of Lithium and Beryllium is calculated. It is found that the evolution of the surface abundance of Lithium depends sensitively on the assumed strength and configuration of the poloidal field. Certain configurations and strengths are virtually indistinguishable from purely hydrodynamical models, however, models which produce almost identical Lithium depletion have markedly different Beryllium depletion. It has also been suggested that internal gravity waves may be important in transporting angular momentum. The presence of a magnetic field can greatly alter the properties of gravity waves in the solar radiative interior. In the Boussinesq approximation, it is shown from the linearized MHD equations that the presence of a magnetic field can introduce an Alfvenic component to a pure gravity wave. This can greatly restrict the range of wave vectors which can propagate, as well as altering the location and properties of any critical layers that could absorb the waves. On short timescales, there are a number of possible periodic forcing mechanisms for the solar angular momentum. Once again using a FEM code, and assuming a static poloidal field, the effects of a periodic forcing are modelled, to determine if the induced toroidal fields can account for the observed magnetic properties of the solar cycle, and to see if the variations in the surface rotation rate match observations of torsional oscillations in the sun. In addition, a corresponding analytic model is constructed, in order to better understand the forcing. The results suggest that it is difficult to reproduce the observed solar cycle in this manner.

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