Derivation of the Continuous-Time Random-Walk Equation
- 14 January 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 44 (2) , 55-58
- https://doi.org/10.1103/physrevlett.44.55
Abstract
The transport of electrons or excitations on a lattice randomly occupied by guests is considered. The equation governing the transport in any configuration is assumed to be the master equation. A projection operator technique is used to derive the exact equation governing the transport averaged over all configurations, which can be written as either a generalized master equation or the continuous-time random-walk equations (CTRW), establishing the correctness of the CTRW for these problems.Keywords
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