1996/02/22 by K. W. Kehr, Thomas Wichmann, Kehr, K. W. +2
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9602121
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
arxiv created 1996/02/22 · openalex publication_date 1996/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.