Abstract
It is shown how a simple model for chaos in semiconductors results from a three-fold argument:
(a) One starts with a Chapman-Kolmogorov equation for the generation-recombination processes. These are assumed in the simplest case (considered here) to be uniform in space and to involve only holes. A recurrence relation for the average hole concentration at successive discrete time intervals is derived by averaging the Chapman-Kolmogorov equation.
(b) One sets up a generation-recombination rate for a specific model.
(c) The possibility of chaos then follows by combining (a) and (b) and hence finding recurrence relations similar to those known to produce chaos, e.g., Xk + 1 = rXk(1 - Xk).