# Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian

@article{Tronci2014HybridVM, title={Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian}, author={Cesare Tronci and Emanuele Tassi and Enrico Camporeale and Philip J. Morrison}, journal={Plasma Physics and Controlled Fusion}, year={2014}, volume={56}, pages={095008} }

This paper investigates hybrid kinetic-magnetohydrodynamic (MHD) models, where a hot plasma (governed by a kinetic theory) interacts with a fluid bulk (governed by MHD). Different nonlinear coupling schemes are reviewed, including the pressure-coupling scheme (PCS) used in modern hybrid simulations. This latter scheme suffers from being non-Hamiltonian and is unable to exactly conserve total energy. Upon adopting the Vlasov description for the hot component, the non-Hamiltonian PCS and a…

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