We investigate the survival-return probability distribution and the eigenspectrum for the transition probability matrix, for diffusion in the presence of perfectly absorbing traps distributed with critical disorder in two and three dimensions. The density of states is found to have Lifshitz tail in the low frequency limit, consistent with a recent investigation of the long-time behavior of the survival probability. The localization properties of the eigenstates are found to be very different from diffusion with no traps.

• Received 17 March 1994

DOI:https://doi.org/10.1103/PhysRevE.50.1093