| Issue |
EPL
Volume 83, Number 5, September 2008
|
|
|---|---|---|
| Article Number | 55002 | |
| Number of page(s) | 4 | |
| Section | Physics of Gases, Plasmas and Electric Discharges | |
| DOI | https://doi.org/10.1209/0295-5075/83/55002 | |
| Published online | 03 September 2008 | |
Hall resistive tearing mode: A variational formulation
Los Alamos National Laboratory - Los Alamos, NM 87545, USA
Received:
26
June
2008
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-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.
PACS: 52.35.Vd – Magnetic reconnection
© EPLA, 2008
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