Hall resistive tearing mode: A variational formulation

    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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