Volume 83, Number 5, September 2008
|Number of page(s)||4|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||03 September 2008|
Hall resistive tearing mode: A variational formulation
Los Alamos National Laboratory - Los Alamos, NM 87545, USA
Accepted: 22 July 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.
PACS: 52.35.Vd – Magnetic reconnection
© EPLA, 2008
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