Hall resistive tearing mode: A variational formulationB. K. Shivamoggi
Los Alamos National Laboratory - Los Alamos, NM 87545, USA
received 26 June 2008; accepted in final form 22 July 2008; published September 2008
published online 3 September 2008
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-inertiadriven 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.
52.35.Vd - Magnetic reconnection.
© EPLA 2008