A model for space-charge limited electron transport in an N+-N-N+ devi
ce and a Schottky diode is proposed. It is based on the smallness of t
he lattice temperature with respect to the applied voltage. This model
, derived from the stationary Boltzmann equation of semiconductors, ha
s a much lower computational cost and leads to a good prediction for t
he I-V curve as well as for the built-in potential.