A gyroviscous model of the magnetotail current layer and the substorm mechanism

Physics

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Current Sheets, Geomagnetic Tail, Magnetic Storms, Space Plasmas, Collisionless Plasmas, Flow Velocity, Magnetospheric Instability, Viscous Flow

Scientific paper

An analytical model of the magnetotail current layer is constructed on the basis of fluid equations for collision-free plasmas with finite ion Larmor radius. The present model provides self-consistent solutions for the plasma flow vector, magnetic field, and electric currents in a one-dimensional current layer that are in agreement with measurements in the magnetosphere. It is shown that the gyroviscous stresses in the momentum equation, the Hall current term in the generalized Ohm's law, and the cross-equatorial mass transport are essential for describing a dynamically stable configuration of the magnetotail current layer. It is found that a necessary condition for an equilibrium of a current layer with isotropic scalar pressure and finite ion Larmor radius is that the normal mass velocity across the layer is greater than the normal component of the Alfven velocity. It is argued that magnetospheric substorms are associated with violation of the above condition in the tail current layer.

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