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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 110-119 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Analytic solutions for magnetic annihilation and reconnection in three-dimensional velocity fields are constructed. Exact and approximate solutions for three-dimensional fan current reconnection can be derived using prototype fields based on simple, one-component magnetic annihilation models. Certain reconnection solutions are found to be "fast," in the sense that the Ohmic dissipation rate scales independently of any positive power of the plasma resistivity η. Three-dimensional models can also possess novel features not contained in two-dimensional planar reconnection solutions. In particular, classes of solutions involving separated field nulls are found to possess multiple scalings for the Ohmic dissipation rate—a feature that has not been observed before. Several solutions are shown to have the potential to meet the extreme energy release characteristics of the solar flare. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 101-109 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The phenomena of steady-state magnetic annihilation and reconnection in the vicinity of magnetic nulls are considered. It is shown that reconnective solutions can be derived by superposing the velocity and magnetic fields of simple magnetic annihilation models. These solutions contain most of the previous models for magnetic merging and reconnection, as well as introducing several new solutions. The various magnetic dissipation mechanisms are classified by examining the scaling of the Ohmic diffusion rate with plasma resistivity. Reconnection solutions generally allow more favorable "fast" dissipation scalings than annihilation models. In particular, reconnection models involving the advection of planar field components have the potential to satisfy the severe energy release requirements of the solar flare. The present paper is mainly concerned with magnetic fields embedded in strictly planar flows—a discussion of the more complicated three-dimensional flow patterns is presented in Part II [Phys. Plasmas 4, 110 (1997)]. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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