Trapping in quasilocalized systems: From exponential to power-law decay
- 1 May 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 31 (5) , 3526-3528
- https://doi.org/10.1103/physreva.31.3526
Abstract
We investigate the random-trapping problem in disordered one-dimensional quasilocalized systems in the presence of a bias field. We obtain for the survival probability of the random walker a power-law decay in contrast to the exponential law which is found in the problem of ordered hopping rates. The power-law decay is a consequence of the anomalous slow exploration of the hopping sites in quasilocalized systems. The method we use combines an exact treatment of the trap statistics with an effective-medium approximation for the disorder in the hopping rates leading to the exact asymptotic long-time behavior of the physical quantities.Keywords
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