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Generalised continuous-time random walk approach to non-Markoffian transport in random systems
| Content Provider | Scilit |
|---|---|
| Author | Kumar, A. A. Heinrichs, J. |
| Copyright Year | 1980 |
| Description | Journal: Journal of Physics C: Solid State Physics The Scher-Lax model (1973) describing AC conductivity in terms of a continuous-time random walk on a lattice is generalised to cases where the hopping in the random system is governed by transition rates which do not decay exponentially in time and which thus correspond to a non-Markoffian process. This requires a proper treatment of the waiting-time distribution for the first observed hop of a carrier on the lattice. The waiting-time distributions for both the first observed hop and for time intervals between consecutive hops are defined in terms of configuration averages of the random walk on the random medium. The treatment includes explicitly the effect of an important disorder-induced space-time correlation, which is found to be entirely responsible for the frequency dependence of the conductivity, sigma ( omega ). The closed-form expression for sigma ( omega ) may account for the observed frequency dependence in disordered systems. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/13/32/019/pdf |
| Ending Page | 5981 |
| Page Count | 11 |
| Starting Page | 5971 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/13/32/019 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 32 |
| Volume Number | 13 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1980-11-20 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Mathematical Physics Space Time |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
