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 http://dx.doi.org/10.1209/0295-5075/83/55002
Published online 03 September 2008
EPL, 83 (2008) 55002
DOI: 10.1209/0295-5075/83/55002

Hall resistive tearing mode: A variational formulation

B. 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

Abstract
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$\hbox{--} $driven tearing mode given previously (COPPI B., Phys. Lett. A11 (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