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Revisited neoclassical transport theory for steep, collisional plasma edge profiles

Published neoclassical results are misleading as concerns the plasma edge for they do not adequately take the peculiar local conditions into account, in particular the fact that the density and temperature variation length-scales are here quite small: LN,T <<a, R, qR. In the high collisionality regime (qR nu J/cJ>>1), gyro-stress tensor and ion inertia play an essential role if the ratio q2R2/( Omega i tau i)aLN,T is of the order of, or larger than unity. Coupled novel neoclassical equations then obtain, not only for the evolution of the density and temperatures, but also for the radial electric field and the evolution of the parallel ion momentum: gyro-stresses and inertia indeed upset the otherwise de facto ambipolarity of particle transport and a radial electric field necessarily builds up. The increased nonlinear character of these revisited neoclassical equations widens the realm of possible plasma behaviors.