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. 1986 Feb;83(4):848-51.
doi: 10.1073/pnas.83.4.848.

On the relationship among three theories of relaxation in disordered systems

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On the relationship among three theories of relaxation in disordered systems

J Klafter et al. Proc Natl Acad Sci U S A. 1986 Feb.

Abstract

Empirical evidence has accumulated showing the wide occurrence of a stretched-exponential relaxation decay law for many diverse condensed-matter systems. Several theories based on different physical mechanisms have been successful in deriving the stretched-exponential decay law in a natural way. Three of these theories, the direct-transfer model, the hierarchically constrained dynamics model, and the defect-diffusion model are shown here to have an underlying common mathematical structure.

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References

    1. Proc Natl Acad Sci U S A. 1984 Feb;81(4):1280-3 - PubMed
    1. Phys Rev B Condens Matter. 1985 May 1;31(9):6070-6071 - PubMed

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