Anomalous transport properties for random-hopping and random-trapping models
- 15 March 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (6) , 2951-2955
- https://doi.org/10.1103/physrevb.23.2951
Abstract
Previous work on anomalous transport is extended to two and three dimensions. Using critical-path analysis it is shown that random-hopping models always lead to a finite dc conductivity and diffusion constant and thus to normal asymptotic behavior above 1D. For RT models anomalous behavior is shown to be possible with indices in agreement with the Scher-Lax theory, above 2D. It is also pointed out that such behavior is to be expected for an exponential tail of traps and the temperature dependence is predicted.Keywords
This publication has 19 references indexed in Scilit:
- On electronic energy transfer in disordered systemsThe Journal of Chemical Physics, 1980
- Derivation of the Continuous-Time Random-Walk EquationPhysical Review Letters, 1980
- Dispersive diffusion of electronic energy in an impurity bandChemical Physics Letters, 1979
- Electronic energy transfer in an impurity bandChemical Physics, 1979
- Low-energy density of states and long-time behaviour of random chanins: a scaling approachJournal of Physics C: Solid State Physics, 1979
- Classical Diffusion in One-Dimensional Disordered LatticePhysical Review Letters, 1978
- Anomalous transit-time dispersion in amorphous solidsPhysical Review B, 1975
- Stochastic Transport in a Disordered Solid. II. Impurity ConductionPhysical Review B, 1973
- Stochastic Transport in a Disordered Solid. I. TheoryPhysical Review B, 1973
- The Dynamics of a Disordered Linear ChainPhysical Review B, 1953