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The transmitted current in a crossed-field gap has been characterized analytically by a number of authors [1], [4], [6] and [7]. Using a one dimensional PIC simulation, PDP1 [9], 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 current by just 1%. Addition of a small electron temperature normal to the cathode eliminates the transition, even for kT/V~10[to the minus-5] (V = 10kV, gap = 1 cm, B = 337G, J = 1.69 A/cm[squared]), while an isotropic velocity distribution accelerates the transition.

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