Abstract
The formation of a current hole by a series of nonlinear $m = 1$ magnetic reconnections due to electron inertia in a tokamak is demonstrated numerically. If a negative current exists around the magnetic axis of a tokamak plasma, an unstable $m = 1$ magnetic reconnection shifts the negative current outward but a nonlinear secondary magnetic reconnection induced by electron inertia attempts to recover the initial current profile. A partially recovered current profile is again unstable to the $m = 1$ mode and therefore subject to a subsequent nonlinear magnetic reconnection. Through such repeated magnetic reconnections, it is shown that the negative current density is gradually diminished, thus forming a current hole.
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