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Transport in Microscopically Inhomogeneous Materials
Author(s) -
Pike G. E.,
Seager C. H.
Publication year - 1976
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220750131
Subject(s) - conductance , diffusion , percolation (cognitive psychology) , tungsten , materials science , statistical physics , percolation theory , conductivity , thermodynamics , condensed matter physics , chemistry , physics , metallurgy , neuroscience , biology
The solutions are discussed to several types of site and bond conductance networks. The site models include those which are used to describe diffusion in Si–Ge alloys and conductivity in such systems as metal‐ammonia solutions and sodium‐tungsten bronzes. The bond model discussed here is shown to provide a reasonable explanation of data obtained from He diffusion studies in SiO 2 . Several approaches to solving these conductance models are discussed including numerical solutions, percolation models, and effective medium theories. It is shown, that an extension of the site effective medium theory of Watson and Leath provides a good fit to the numerical data available on the site networks considered.