Occupancy correlation functions for diffusion in the high-frequency limit of the simple hopping model
- 10 April 1985
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 18 (10) , 2073-2079
- https://doi.org/10.1088/0022-3719/18/10/013
Abstract
The double Fourier transform S (k, omega ) of the occupancy correlation function, for a particle diffusing on a cubic lattice, has been calculated for all omega and specific k in the limits of low and high particle concentrations by Tahir-Kheli and Elliott (1982). It is shown that their equations may be used to calculate the high-frequency dependence of S(k, omega ) for all concentrations and exact to the power omega -4 in the high-frequency expansion. Results are presented which enable algebraic expressions for S(k, omega ) to be determined, for all k in this limit for the SC, BCC and FCC lattices.Keywords
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