Magnetic field diffusion in semi-ideal magnetohydrodynamics

A. V. Gruzinov, M. B. Isichenko, P. H. Diamond

    Research output: Contribution to journalLetter

    Abstract

    Diffusion of magnetic fields in semi-ideal magnetohydrodynamics (σ=∞, σ is finite) is studied. Though the magnetic field is frozen into an auxiliary medium, current layers are shown to develop for generic initial conditions. The final stage of the magnetic field evolution is described by a two-dimensional isotopological diffusion equation for the magnetic streamfunction ψ(x,y): ∂tψ={ψ,χ}, where χ is the streamfunction of the auxiliary medium given by ∇2χ={ψ,∇2ψ}, and {,} is a two-dimensional Jacobian.

    Original languageEnglish (US)
    Pages (from-to)3541-3542
    Number of pages2
    JournalPhysics of Plasmas
    Volume2
    Issue number9
    DOIs
    StatePublished - Jan 1 1995

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    Keywords

    • DIFFUSION
    • MAGNETIC FIELD CONFIGURATIONS
    • MAGNETOHYDRODYNAMICS
    • OHM LAW
    • SOLAR CORONA
    • TOPOLOGY

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Gruzinov, A. V., Isichenko, M. B., & Diamond, P. H. (1995). Magnetic field diffusion in semi-ideal magnetohydrodynamics. Physics of Plasmas, 2(9), 3541-3542. https://doi.org/10.1063/1.871136