Quantifying Hall Conductivity using Data-Driven Model Identification

Particle simulations are an effective tool for modeling loss mechanisms in the magnetically insulated transmission lines (MITL) on Sandia National Laboratories' Z machine. Previous work has shown that Hall conductivity plays a significant role in time-dependent current loss in this region. In this work we use WSINDy, a data-driven model identification method, as an alternative approach to demonstrate the significance of the Hall-driven effects arising in particle simulations of the inner MITL. The weak formulation used in WSINDy allows us to perform this analysis without a smoothing or averaging step and work directly with fluid quantities calculated from the particle data. Regions of space and time are examined to highlight where the Hall conductivity has the greatest effect. The end goal is a parameterization to represent how the Hall coefficient corresponds to the geometry of the inner MITL.