A model is developed which explains the collective plasma phenomena associated with the extended Franck-Hertz experiment described in an earlier paper by Nicoletopoulos [Eur. J. Phys. 23, 533 (2002)]. The particular focus is on the formation of the free steady-state monotonic double layer. The approach used is a Bernstein-Greene-Kruskal theory in which one postulates the space potential and a s...