The transient reaction diffusion kinetics in a system containing a random distribution of stationary spherical traps is analyzed. It is shown that recently obtained results concerning the long-time behavior of the trap-averaged density at the origin ρ(o,t) may be readily extended to the cases of partially absorbing and nonoverlapping traps, independently of the number density of traps. We also estimate the size of the relative fluctuations about ρ(o,t) and show that these fluctuations diverge at long times.
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Kayser et al. (1984) studied this question.