ICTS

There exist a wide range of models in plasma physics, the simplest of which is ideal magnetohydrodynamics (MHD). I will begin this talk by describing the derivation of the action principle and Hamiltonian formulations of ideal MHD, in Lagrangian and Eulerian variables respectively. This will be followed by a discussion of the differences between "beyond MHD" models and MHD, and a presentation of the Hamiltonian formulations for the former. Next, I will explain how the Hamiltonian approach enables us to find interesting correspondences between the various "beyond MHD" models that possess mutually exclusive terms in their dynamical equations. I will conclude my talk with a brief synopsis of the many advantages inherent in the Hamiltonian and Action Principle formulations of charged fluids.