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Dynamical Invariants And The Fluid Impulse In Plasma Models, Martin Michalak
Dynamical Invariants And The Fluid Impulse In Plasma Models, Martin Michalak
Electronic Theses and Dissertations
Much progress has been made in understanding of plasmas through the use of the MHD equations and newer models such as Hall MHD and electron MHD. As with most equations of fluid behavior, these equations are nonlinear, and no general solutions can be found. The use of invariant structures allows limited predictions of fluid behavior without requiring a full solution of the underlying equations. The use of gauge transformation can allow the creation of new invariants, while differential geometry offers useful tools for constructing additional invariants from those that are already known. Using these techniques, new geometric, integral and topological …
On Hall Magnetohydrodynamics: X-Type Neutral Point And Parker Problem, Kyle Reger
On Hall Magnetohydrodynamics: X-Type Neutral Point And Parker Problem, Kyle Reger
Electronic Theses and Dissertations
The framework for the Hall magnetohydrodynamic (MHD) model for plasma physics is built up from kinetic theory and used to analytically solve problems of interest in the field. The Hall MHD model describes fast magnetic reconnection processes in space and laboratory plasmas. Specifically, the magnetic reconnection process at an X-type neutral point, where current sheets form and store enormous amounts of magnetic energy which is later released as magnetic storms when the sheets break up, is investigated. The phenomena of magnetic flux pile-up driving the merging of antiparallel magnetic fields at an ion stagnation-point flow in a thin current sheet, …