Journal of Statistical Physics, Vol. 65, Nos. 5/6, 1991, p. 1161-1172.
We discuss theoretical work on motion-limited trapping kinetics at very low
temperatures where theories based upon strictly diffusive models break down
due to quantum mechanical effects. In addition, we present numerical results
which confirm earlier asymptotic predictions regarding the survival probability
for one-dimensional chains, and discuss the important role fluctuations and self-
averaging (or the lack thereof) play in the analysis of finite systems.