Instabilities in Turbulence - II

This course covers the intricate concepts of instabilities in various systems, with a special focus on magnetoconvection and turbulence. It begins with an exploration of how a fluid contained between two plates can generate local magnetic fields when a mean magnetic field is applied, similar to the Earth's magnetic field. The course then delves into the equations for magnetic fields and temperature, explaining their interaction in a system. It also introduces the concept of magnetic Prandtl number and Chandrasekhar's number. The course further discusses nonlinearity in the context of instability and its role in saturating growth, using the Lorenz equations as a reference. It concludes with a comprehensive understanding of turbulence, its formation, and the concept of bifurcation. The course uses the example of Rayleigh-Benard convection to illustrate these concepts, providing a practical understanding of the subject matter.