Plasma transport near the separatrix of a magnetic island

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Abstract
The simplest non-trivial model of transport across a magnetic island chain in the pres- ence of collisionless streaming along the magnetic fleld is solved by a Wiener-Hopf procedure. The solution found is valid provided the boundary layer about the island separatrix is nar- row compared to the island width. The result demonstrates that when this assumption is satisfled the ∞attened proflle region is reduced by the boundary layer width. The calculation is similar to the recent work by Fitzpatrick (R. Fitzpatrick, Phys. Plasmas 2, 825 (1995)) but is carried out in the collisionless, rather than the collisional, limit of parallel transport, and determines the plasma parameters on the separatrix self-consistently.