The transmitted current in a crossed-field gap has been characterized
analytically by a number of authors. Using a one dimensional PIC simul
ation, we explore the behavior of the crossed-field diode at B=B-Hull.
For mono-energetic (cold) emission, a rapid reduction of transmitted
current is observed when the injected current exceeds the critical cur
rent by just 1%. The addition of a small electron temperature normal t
o the cathode eliminates the transition, even for kT/V similar to 10(-
5) (V=10 kV, gap = 1 cm, B=337 G, J=1.69 A/cm(2)), while an isotropic
velocity distribution accelerates the transition. (C) 1996 American In
stitute of Physics.