Collisionless magnetohydrodynamic turbulence in two dimensions

    Authors

    B. K. Shivamoggi

    Comments

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    Abbreviated Journal Title

    Ann. Phys.

    Keywords

    magnetohydrodynamics; turbulence; MAGNETIC-FIELD RECONNECTION; HIGH-TEMPERATURE PLASMAS; MHD TURBULENCE; INTERSTELLAR TURBULENCE; STATISTICAL PROPERTIES; SPATIAL INTERMITTENCY; ALFVENIC TURBULENCE; INSTABILITIES; DYNAMICS; AMPLIFICATION; Physics, Multidisciplinary

    Abstract

    In this paper we give a formulation of two-dimensional (2D) collisionless magnetohydrodynamic (MHD) turbulence that includes the effects of both electron inertia and electron pressure (or parallel electron compressibility) and is applicable to strongly magnetized collisionless plasmas. We place particular emphasis on the departures from the 2D classical MHD turbulence results produced by the collisionless MHD effects. We investigate the fractal/multi-fractal aspects of spatial intermittency. The fractal model for intermittent collisionless MHD turbulence appears to be able to describe the observed k(-1) spectrum in the solar wind. Multi-fractal scaling behaviors in the inertial range are first deduced, and are then extrapolated down to the dissipative microscales. We then consider a parabolic-profile model for the singularity spectrum f(alpha), as an explicit example of a multi-fractal scenario. These considerations provide considerable insights into the basic mechanisms underlying spatial intermittency in 2D fully developed collisionless MHD turbulence. (c) 2004 Elsevier Inc. All rights reserved.

    Journal Title

    Annals of Physics

    Volume

    317

    Issue/Number

    1

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    1

    Last Page

    23

    WOS Identifier

    WOS:000228408800001

    ISSN

    0003-4916

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