Magnetic fields during primordial star formation and turbulent mixing

The origin of cosmic magnetism is an issue of fundamental importance in astrophysics. In this talk, I will first present a brief review astrophysical magnetic fields and turbulent dynamos as applied to explain their origin. The major part of the talk will focus around two problems namely, magnetic field generation during the formation of the First stars and turbulent mixing of entrained fluids in the presence of evolving magnetic fields. In the context of first stars, I will show how fluctuation dynamos can lead to rapid additional field amplification over what is expected from pure gravitational compression of field lines. I will then show that the same dynamo mechanism also affects mixing of fluids leading to longer mixing time scales. Implications of these processes for the subsequent cosmic evolution of astrophysical systems will be outlined.