Steady flow of charged particles across a magnetic field

With the object of studying steady flow of charged particles across a magnetic field, we have here discussed the Langmuir probe curve in a transverse magnetic field. The hydrodynamic flow of charged particles in the magnetic field is analogous to expansion of a gas through a Laval nozzle and is complicated by the electron critical point and the ion critical point of the Bernoulli equations. Under a condition, however, only the ion critical point is existence for the flow in which ions excess and only the electron critical point is present for the flow in which electrons excess. When the transverse magnetic field is increased, the Langmuir probe curve theoretically shifts towards the low voltage. Further more, when the magnetic field exceeds a certain value solution of steady flow is not present due to losses of charged particles to present the probe. (author)