About Exact Solution Of The Kinetic Equation For Current Sheath
  In the offered paper the kinetic theory of equilibrium and stability of the nonelectroneutral current sheaths formed at arbitrary values of medium parameters was developed. Equilibrium distribution function of a current sheath (Harris's function) considering anisotropy of temperature of plasma along and across the layers is summarized. The procedure of examination of a current sheath stability with due regard to plasma polarization effect is offered. Tensor of dielectric permeability is calculated and dispersion equation for investigation of possible instability modes of non-electroneutral current sheath is derived. Non-electroneutral equilibrium solution for a current sheath in the magnetospheric tail is derived and its instability is explored. A possible mechanism of magnetic field annihilation in the magnetospheric tail and acceleration of charged particles in the process of magnetospheric substorm development is considered. 
V.V. Lyahov, V.M. Neshchadim
physics.plasm-ph astro-ph.EP