Title

Hall resistive tearing mode: A variational formulation

Authors

Authors

B. K. Shivamoggi

Comments

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Abbreviated Journal Title

Epl

Keywords

COLLISIONLESS MAGNETIC RECONNECTION; PARTICLE SIMULATIONS; EARTHS; MAGNETOTAIL; SHEET; INSTABILITIES; PLASMAS; Physics, Multidisciplinary

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-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.

Journal Title

Epl

Volume

83

Issue/Number

5

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

4

WOS Identifier

WOS:000259030200022

ISSN

0295-5075

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