Abstract
The distribution of mean first-passage times (MFPT's) in ensembles of disordered lattice segments is characterized for the first time. The median of the distribution corresponds to the predicted typical behavior of the MFPT. The distribution exhibits a power-law decay in its tail with the exponent approaching 1 in the limit of large system size and disorder. Scaling behavior of the distribution was found in the tail region. The tail behavior of the distribution is related to the difference between the typical and the disorder-averaged MFPT.
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