STATISTICAL-MODEL FOR STRETCHED EXPONENTIAL RELAXATION WITH BACKTRANSFER AND LEAKAGE

Previous calculations of stretched exponential decay in disordered sys tems have been extended to cover situations where there is backtransfe r and leakage in the relaxation channels. Results are obtained for the relaxation of the macroscopic parameter in situations where the chann els are governed by Poisson statistics. Analogous results are obtained for Fermi-Dirac and Bose-Einstein statistics. It is shown that in the continuum limit, all three cases have the same macroscopic decay func tion, Detailed findings are presented for a model where all channels h ave the same backtransfer and leakage rates. In this case, the decay f unction is related to the decay in the absence of backtransfer.