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Mathematics

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University of Central Florida

Theses/Dissertations

2012

Plasma physics

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On Hall Magnetohydrodynamics: X-Type Neutral Point And Parker Problem, Kyle Reger Jan 2012

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, …