It is shown that in a collisionless two-fluid model, a combination of the Hall term and fluid vorticity can lead to the formation of a self-organized singular layer that displays the essential observational features of the thin shear layer associated with the high-confinement (H-mode) tokamak discharges: the layer width is of the order of a poloidal gyroradius, the poloidal velocity of the order of poloidal Mach number unity, and an electrostatic potential (yielding a negative electric field) of the order of the edge plasma temperature.
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Mahajan et al. (2000) studied this question.