Publication
Journal of Physics C: Solid State Physics
Paper

A Green function recursion algorithm and finite-size scaling for diffusion in two-dimensional disordered systems

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Abstract

The authors derive a highly vectorising Green function recursion algorithm and a finite-size scaling description for diffusion in two-dimensional disordered systems. Extensive numerical calculations are presented for two different types of distribution function for the transfer rates between nearest-neighbour sites. The data are in good agreement with the dimensional crossover and scaling behaviour analytically predicted. Additionally, in contrast with one-dimensional systems with a box-shaped distribution of transition rates, they find no evidence for quasi-localisation. © 1988 American Institute of Physics.

Date

21 Nov 2000

Publication

Journal of Physics C: Solid State Physics

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