Hall resistive tearing mode: A variational formulation
Abbreviated Journal Title
COLLISIONLESS MAGNETIC RECONNECTION; PARTICLE SIMULATIONS; EARTHS; MAGNETOTAIL; SHEET; INSTABILITIES; PLASMAS; Physics, Multidisciplinary
A unified linear tearing-mode formulation is given incorporating both resistivity and Hall effects. A variational method is used that appears to be best suited to deal with the difficulties peculiar to the triple-deck structure associated with the Hall resistive tearing mode but also to lead to a convenient analytical dispersion relation for the Hall resisitive tearing mode. This analytical dispersion relation: a) recovers the Furth-Killeen-Rosenbluth (Phys. Fluids, 6 (1963) 459) result for the resistive branch; b) gives a growth rate for the Hall branch which appears to be consistent with the growth rate of the electron-inertia-driven tearing mode given previously (Coppi B., Phys. Lett. A, 11 (1964) 226); c) recovers the scaling relation for the transition from the resisitive regime to the Hall regime numerically established by Fitzpatrick (Phys. Plasmas, 11 (2004) 937) in a driven Hall resistive reconnection situation. Copyright (c) EPLA, 2008.
"Hall resistive tearing mode: A variational formulation" (2008). Faculty Bibliography 2000s. 979.