One-dimensional trapping kinetics at zero temperature
- 20 March 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (12) , 1392-1395
- https://doi.org/10.1103/physrevlett.62.1392
Abstract
The asymptotic decay of the survival probability is calculated for a quantum particle moving at zero temperature on a one-dimensional tight-binding chain possessing randomly placed irreversible traps of strength γ. The survival probability exhibits a decay, P(t)∼exp(-), which is slower than that associated with a diffusing particle.
Keywords
This publication has 16 references indexed in Scilit:
- Anomalously slow trapping of nonidentical interacting particles by random sinksPhysical Review A, 1986
- Transport and trapping on a one-dimensional disordered latticePhysics Letters A, 1986
- The chemical distance distribution in percolation clustersJournal of Physics A: General Physics, 1985
- Electric-Field-Dependent Charge-Carrier Trapping in a One-Dimensional Organic SolidPhysical Review Letters, 1983
- Diffusion in a Medium with a Random Distribution of Static TrapsPhysical Review Letters, 1983
- The long time properties of diffusion in a medium with static trapsThe Journal of Chemical Physics, 1982
- Time decay of excitations in the one-dimensional trapping problemJournal of Statistical Physics, 1982
- Random walk theory of a trap-controlled hopping transport processProceedings of the National Academy of Sciences, 1981
- On the theory of diffusion limited recombination and relaxation in amorphous systemsJournal of Physics C: Solid State Physics, 1980
- Asymptotics for the wiener sausageCommunications on Pure and Applied Mathematics, 1975