Abstract
The trapping problem in disordered condensed phase systems is addressed by calculating the survival probability of a random walker on two-dimensional percolating clusters containing a random distribution of trap sites. The observable is directly determined by numerically solving the Pauli master equation via the Lanczos algorithm and the recursive residue generation method. From the results, we delimit the time and density regimes over which approximations developed for the corresponding statistic on regular lattices and deterministic fractals may be extended. In addition, recent predictions regarding the survival probability's long-time behavior are confirmed for moderately high trap concentrations; it is also shown that on this time scale, the fluctuations in the survival probability become enormous.
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