Dynamics of plasma stream in transverse magnetic field

An extended investigation of the plasma stream motion across the transverse magnetic field needs to know dynamic characteristics of electronic and ionic components. This problem can be solved within the framework of simultaneous solution of their moving equations. The analysis of the dynamic characteristics and the corresponding microstructure of the plasma stream in the transverse magnetic field was conducted on the basis of the following physical model. The plasma stream does not interact with the transverse magnetic field until its electronic component is not magnetized. On other words, while the Larmor´s electron radius is longer than the typical scale of the plasma channel or the electron collision mean free path, this plasma/magnetic field interaction is negligible. When the electron component is magnetized the situation radically alters because all electrons transform their progressive velocity into rotary velocity as if they are tied up with one of the magnetic line. At the same time the un-magnetized ions continue on their progressive motion through the transverse magnetic field. As this takes place, the longitudinal quasi-neutralization of the plasma stream is disturbed causing the complex two-dimensional polarization of the plasma stream and in doing so makes conditions for moving plasma across the magnetic field. The calculation of the electric field energy of the polarization field showed that it is well below the kinetic energy of the plasma stream. By this reason the progressive velocity of the ionic component or the plasma stream is kept constant under conditions of the idle run. However, the momentary values of electron and ion speed differ essentially between them. The solution of the two-dimensional Laplace´s equation shows the dynamics of the interrelate electronic and ionic components of the plasma stream. If the ion speed is the constant value the electron speed fluctuates lagging and leading the ions periodically. The parameters of these fl- ctuations are presented in this paper.