The fluctuation-dominated and mean-field models for diffusion-controll
ed bimolecular recombination are compared with picosecond domain trans
ient optical experiments on a-Si:H. Using no fitting parameters, the f
luctuation-dominate model gives a good account for the optical decay t
imes as a function of laser intensity. A lower bound for the thermaliz
ation radius of a photogenerated electron-hole pair, r(0) > 12 nm, is
inferred. a-Si:H is a felicitous material for exhibiting the fluctuati
on-dominate effects since it combines a modest electron mobility with
an unexplained but large thermalization radius. However, the role of t
he electrostatic potential fluctuations due to the charged electrons a
nd holes is not understood.