About the equilibrium and stability of non-electroneutral current sheaths

In this paper, we prove the necessity of using the Cauchy problem, i.e., initial value problem, for solving the equilibrium (steady state) current sheet. In this connection, it appears that equilibrium current sheaths exhibit structural instability.It is emphasized that during examination of the stability of a current sheath, the kinetic equation solution uses the angle integration technique (unlike the method of paths applied earlier). Therefore, in contrast to previous procedures of examination, this method demonstrates the possibility of studying tearing instability and also all the remaining eigenmodes of instability of a current sheath. The growth rate of tearing instability exceeds the values adopted previously by an order of magnitude or more. At this stage, we realize examination shortwave eigenmodes only.