Solar cycle Lorentz force waves and the torsional oscillations of the sun

Abstract

A hypothesis that the Lorentz force of general magnetic fields generating solar cyclic activities can excite observed torsional oscillations is proposed. The force component is reduced to a correlation between toroidal and poloidal magnetic fields, and consists of a non-wave part which remains in deep regions of the convection zone, and a wave part, called Lorentz force waves, which emerges near the surface where propagating dynamo waves are piled up and deformed. Thus, force waves are confined to where density is low and the moment of inertia is small, and oscillations are likely to be a phenomenon of shallow regions of the solar convection zone. The amplitude of force waves is estimated, and calculations suggest that the torsional oscillations have a shallow effect in the convection zone. The observed phase relation provides a clue to understanding boundary conditions for the solar dynamo, and is evidence that the magnetic force is working on solar global dynamics, creating the magnetic fields themselves.