Abstract
Recent treatments of diffusion in a one-dimensional disordered lattice by Machta using a renormalization-group approach, and by Alexander and Orbach using an effective medium approach, lead to a frequency-dependent (or non-Markoffian) diffusion coefficient. Their results are confirmed by a direct calculation of the diffusion coefficient.
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S. Alexander, J. Bernasconi, W. R. Schneider, and R. Orbach,Rev. Mod. Phys. 53:175 (1981).
J. Machta,Phys. Rev. B. 24:5260 (1981).
S. Alexander and R. Orbach, to be published.
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Research supported by NSF Grant No. CHE 77-16308.
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Zwanzig, R. Non-Markoffian diffusion in a one-dimensional disordered lattice. J Stat Phys 28, 127–133 (1982). https://doi.org/10.1007/BF01011627
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DOI: https://doi.org/10.1007/BF01011627