One-dimensional current transport equations

Abstract

Because the divergence of the total current (all conduction and displacement terms included) is zero, the space average of the current for one-dimensional flow is equal to the current itself, even in the presence of generation-recombination and trapping effects. This result is helpful because the average form of the current is frequently easier to use in static and time-varying problems than its unaveraged form. The space invariance of the current is explicitly illustrated for a typical one-dimensional transport situation with recombination.