Linear models of steady state, incompressible magnetic reconnection

Physics

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Incompressibility, Linear Systems, Magnetic Field Reconnection, Magnetohydrodynamics, Plasmas (Physics), Solar Magnetic Field, Stellar Models, Current Sheets, Electrical Resistivity, Magnetic Field Configurations, Shear Flow

Scientific paper

The problem of linear, steady state reconnection in incompressible magnetic plasmas is addressed. A universal feature of all linear solutions is long current sheets contiguous with the equilibrium separatrices. Fast reconnection is associated with shear flow solutions that vary rapidly across the separatrices, over a scale length of order square root of eta where eta is the dimensionless plasma resistivity. These findings are shown to be consistent with dynamic shear flow solutions associated with disturbances of current free X-point equilibria in open-flow topologies. The development of length scales of order square root of eta is also a signature of fast dissipation for small amplitude, arbitrarily compressible displacements in closed X-point equilibria. The impact of these findings on conventional steady state reconnection models is discussed.

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