Electron magnetohydrodynamic turbulence: universal features

    Authors

    B. K. Shivamoggi

    Comments

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    Abbreviated Journal Title

    Eur. Phys. J. D

    Keywords

    FULLY-DEVELOPED TURBULENCE; ENERGY-DISSIPATION RATE; STATISTICAL-MECHANICS; SPATIAL INTERMITTENCY; ISOTROPIC TURBULENCE; SINGULARITIES; DIMENSIONS; FLUID; Optics; Physics, Atomic, Molecular & Chemical

    Abstract

    The energy cascade of electron magnetohydrodynamic (EMHD) turbulence is considered. Fractal and multi-fractal models for the energy dissipation field are used to determine the spatial intermittency corrections to the scaling behavior in the high-wavenumber (electron hydrodynamic limit) and low-wavenumber (magnetization limit) asymptotic regimes of the inertial range. Extrapolation of the multi-fractal scaling down to the dissipative microscales confirms in these asymptotic regimes a dissipative anomaly previously indicated by the numerical simulations of EMHD turbulence. Several basic features of the EMHD turbulent system are found to be universal which seem to transcend the existence of the characteristic length scale de (which is the electron skin depth) in the EMHD problem: equipartition spectrum; Reynolds-number scaling of the dissipative microscales; scaling of the probability distribution function (PDF) of the electron-flow velocity (or magnetic field) gradient (even with intermittency corrections); dissipative anomaly; and critical exponent scaling.

    Journal Title

    European Physical Journal D

    Volume

    69

    Issue/Number

    2

    Publication Date

    1-1-2015

    Document Type

    Article

    Language

    English

    First Page

    10

    WOS Identifier

    WOS:000353819300003

    ISSN

    1434-6060

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