The model of relatively thin current sheet taking into account the longitudinal inhomogeneity of magnetic field is constructed and investigated. It is shown that nonlinear dynamics of charged particles depending from magnetic field distribution in thin current sheets completely determines their equilibrium structure. Transient ions are main current carriers in this system and they support practically 1D current sheet. At the same time, due to conservation of longitudinal invariant, quasi-trapped particles are re-distributed along current sheet in such a way that their conservation becomes to be larger in a region with the larger transversal magnetic field; simultaneously their local currents partially compensate the general current density. Electron currents appeared to be stronger at the opposite border of current sheet where the value of cross-sheet magnetic field is smaller, and, correspondingly, curvature radius of magnetic field lines is smaller too. In this region current density profile has embedded layered structure; thus, narrow electron current is embedded inside more thicker proton current, and all this configuration is embedded inside more thicker plasma sheet.
94.30.ct Plasma sheet
02.90.+p Other topics in mathematical methods in physics
02.60.Lj Ordinary and partial differential equations; boundary value problems
Department of mathematics, Faculty of Physics, M.V.Lomonosov Moscow State University. Moscow 119991, Russia.
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