Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder
Abstract
A survey is given on asymptotic diffusion coefficients of particles in lattices with random transition rates. Exact and approximate results for single particles are reviewed. A recent exact expression in $d = 1$ which includes occupation factors is discussed. The utilization of the result is demonstrated for the Miller-Abrahams model and a model of random barriers combined with random traps. Exact and approximate results for the site-exclusion model in disordered lattices are also given.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 1996
- DOI:
- 10.48550/arXiv.cond-mat/9602121
- arXiv:
- arXiv:cond-mat/9602121
- Bibcode:
- 1996cond.mat..2121K
- Keywords:
-
- Condensed Matter
- E-Print:
- 10 pages uuencoded latex, 5 embedded Postscript figures, to be published in the Proceedings of the International Seminar on Current Developments in Disordered Materials, Kurukshetra University, India, 22--24 January 1996