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Minisymposium Presentation

MHD Limit of Kinetic, Drift-Kinetic and Gyro-Kinetic Models

Wednesday, June 5, 2024
9:00
-
9:30
CEST
Climate, Weather and Earth Sciences
Climate, Weather and Earth Sciences
Climate, Weather and Earth Sciences
Chemistry and Materials
Chemistry and Materials
Chemistry and Materials
Computer Science and Applied Mathematics
Computer Science and Applied Mathematics
Computer Science and Applied Mathematics
Humanities and Social Sciences
Humanities and Social Sciences
Humanities and Social Sciences
Engineering
Engineering
Engineering
Life Sciences
Life Sciences
Life Sciences
Physics
Physics
Physics

Description

Standard derivations of Gyrokinetic theory are not formally compatible with global MHD theory, even in the collisional and small-Larmor radius limit. On the other hand, simpler kinetic theories, like drift-kinetics, can be straightforwardly shown to be consistent with MHD in appropriate limits. By leveraging the known relationships between these theories, I explain how to formulate and solve such kinetic models in a way that allows system-scale MHD motion to be consistently treated. This provides some insight into which system-scale effects are absent in a conventional global gyro-kinetic approach, and how they might be calculated in a kinetic-MHD type framework. As an illustration, we show how certain equilibrium currents are 'missing' when we attempt to reconstruct them via standard gyrokinetics.

Authors