• We are sorry, but NCBI web applications do not support your browser and may not function properly. More information
Logo of pnasPNASInfo for AuthorsSubscriptionsAboutThis Article
Proc Natl Acad Sci U S A. Feb 1986; 83(4): 848–851.
PMCID: PMC322967

On the relationship among three theories of relaxation in disordered systems


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.

Full text

Full text is available as a scanned copy of the original print version. Get a printable copy (PDF file) of the complete article (558K), or click on a page image below to browse page by page. Links to PubMed are also available for Selected References.

Selected References

These references are in PubMed. This may not be the complete list of references from this article.
  • Shlesinger MF, Montroll EW. On the Williams-Watts function of dielectric relaxation. Proc Natl Acad Sci U S A. 1984 Feb;81(4):1280–1283. [PMC free article] [PubMed]
  • Huber DL. Statistical model for stretched exponential relaxation in macroscopic systems. Phys Rev B Condens Matter. 1985 May 1;31(9):6070–6071. [PubMed]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences


Related citations in PubMed

See reviews...See all...

Cited by other articles in PMC

See all...


  • PubMed
    PubMed citations for these articles

Recent Activity

Your browsing activity is empty.

Activity recording is turned off.

Turn recording back on

See more...