Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder

K. W. Kehr; T. Wichmann

Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder

Condensed Matter 2007-05-23 v1

Authors: K. W. Kehr , T. Wichmann

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.

Keywords

diffusion coefficients disordered lattices random transition rates Miller-Abrahams model site-exclusion model occupation factors

Cite

@article{arxiv.cond-mat/9602121,
  title  = {Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder},
  author = {K. W. Kehr and T. Wichmann},
  journal= {arXiv preprint arXiv:cond-mat/9602121},
  year   = {2007}
}

Comments

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

Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder

Abstract

Keywords

Cite

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