Abstract
A reduced self-consistent kinetic approach is developed for the study of nonlinear plasma electrodynamics near weakly magnetized regions in a current carrying collisionless plasma. In these regions in addition to quasineutral we have quasi-current-free dynamics. Quasi-current free nonlinear plasma dynamics is realized when the diamagnetic spatial dispersion parameter originating from the diamagnetic current is small compared to the plasma and field dynamic scales. In this case, the eddy currents consisting of diamagnetic and resistive parts are mutually compensated. We illustrate this effect in a liner approach to plasma electrodynamics. A quasi MHD beam-like approach to the accelerated electrons forming resistivity and a kinetic approach to the diamagnetic plasma particles allows us to develop an analytical self-similar solution to the one dimensional magnetic annihilation problem.
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