The implications of collisions on the spatial profile of electric potential and the space-charge limited current

Allen L. Garner, N. R. Sree Harsha

The space-charge limited current (SCLC) in a vacuum diode is given by the Child-Langmuir law (CLL), whose electric potential $\phi (x)=(x/D{)}^{4/3}$, where x is the spatial coord…