Exact solutions for reconnective annihilation in magnetic configurations with three sources

E. Tassi, V. S. Titov, G. Hornig

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Exact solutions of the steady resistive three-dimensional magnetohydrodynamics equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with nonvanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis of how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.
    Original languageEnglish
    Pages (from-to)448-453
    Number of pages6
    JournalPhysics of Plasmas
    Volume10
    Issue number2
    DOIs
    Publication statusPublished - 2003

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    configurations
    electrical resistivity
    cylindrical coordinates
    electric fields
    solar flares
    magnetohydrodynamics
    derivation
    magnetic fields

    Keywords

    • Plasma magnetohydrodynamics
    • Plasma transport processes

    Cite this

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    title = "Exact solutions for reconnective annihilation in magnetic configurations with three sources",
    abstract = "Exact solutions of the steady resistive three-dimensional magnetohydrodynamics equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with nonvanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis of how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.",
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    note = "dc.publisher: American Institute of Physics",
    year = "2003",
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    pages = "448--453",
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    publisher = "American Institute of Physics",
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    Exact solutions for reconnective annihilation in magnetic configurations with three sources. / Tassi, E.; Titov, V. S.; Hornig, G.

    In: Physics of Plasmas, Vol. 10, No. 2, 2003, p. 448-453.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Exact solutions for reconnective annihilation in magnetic configurations with three sources

    AU - Tassi, E.

    AU - Titov, V. S.

    AU - Hornig, G.

    N1 - dc.publisher: American Institute of Physics

    PY - 2003

    Y1 - 2003

    N2 - Exact solutions of the steady resistive three-dimensional magnetohydrodynamics equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with nonvanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis of how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.

    AB - Exact solutions of the steady resistive three-dimensional magnetohydrodynamics equations in cylindrical coordinates for an incompressible plasma are presented. The solutions are translationally invariant along one direction and in general they describe a process of reconnective annihilation in a curved current layer with nonvanishing magnetic field. In the derivation of the solutions the ideal case with vanishing resistivity and electric field is considered first and then generalized to include the effects of finite electric field and resistivity. Particular attention is devoted to the analysis of how the latter ones influence the presence of singularities in the solutions. In this respect comparisons with the purely two-dimensional case are made and the resulting important differences are highlighted. Finally, applications of the solutions for modeling an important class of solar flares are discussed.

    KW - Plasma magnetohydrodynamics

    KW - Plasma transport processes

    U2 - 10.1063/1.1540094

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    JF - Physics of Plasmas

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