CPA theory for jump diffusion of particles in periodic lattices
- 20 January 1982
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 15 (2) , 209-220
- https://doi.org/10.1088/0022-3719/15/2/006
Abstract
The incoherent dynamical structure factor and the diffusion coefficient of the nearest neighbour (NN) jump diffusion model is studied. Diffusion of a specific particle in a static but random arrangement of background particles is considered. The virtual crystal approximation and coherent potential approximation procedures are used to find solutions. First five exact frequency moments of the spectral density are calculated and compared with those given by these theories. In simple cubic and body-centred cubic lattices four first moments are exactly reproduced by the CPA solution.Keywords
This publication has 16 references indexed in Scilit:
- Site blocking and correlated defect motion in tracer and chemical diffusionPhysical Review B, 1980
- A method of moments applied to the diluted ferromagnetJournal of Physics C: Solid State Physics, 1974
- Excitations in the dilute Heisenberg ferromagnet using the coherent potential approximationJournal of Physics C: Solid State Physics, 1974
- Percolation and ConductionReviews of Modern Physics, 1973
- Excitations in Dilute Magnets Using the Coherent-Potential ApproximationPhysical Review B, 1973
- Diffusion correlation effects in non-stoichiometric solidsPhilosophical Magazine, 1973
- Neutron Scattering from a Liquid on a Jump Diffusion ModelProceedings of the Physical Society, 1961
- LIII. Correlation effects in diffusion in crystalsPhilosophical Magazine, 1956
- Correlation factors for diffusion in solidsTransactions of the Faraday Society, 1956
- CXXXIII. Impurity diffusion in crystals (mainly ionic crystals with the sodium chloride structure)Journal of Computers in Education, 1955