Advertisement

Journal of Statistical Physics

, Volume 77, Issue 3–4, pp 945–947 | Cite as

Kohlrausch explained: The solution to a problem that is 150 years old

  • J. C. Phillips
Comment

Abstract

We construct a bridge between the standard diffusion-to-traps mathematical model of stretched exponential relaxation and the modern experimental database on both electronic and structural relaxation.

Key Words

Diffusion traps stretched exponential relaxation Kohlrausch electronic structural 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Götze and L. Sjögren,Rep. Prog. Phys. 55:241 (1992).Google Scholar
  2. 2.
    R. Böhmer, K. L. Ngai, C. A. Angell, and D. J. Plazek,J. Chem. Phys. 99:4201 (1993).Google Scholar
  3. 3.
    R. Kohlrausch,Ann. Phys. (Leipzig)12:393 (1847); G. Williams and D. C. Watts,Trans. Faraday Soc. 66:80 (1970); J. Jackle,Phil. Mag. B 56:113 (1987).Google Scholar
  4. 4.
    I. M. Lifshitz,Vsp. Fiz. Nauk 83:617 (1964) [Sov. Phys.-Vsp. 7:549 (1965)]; R. Friedberg and J. M. Luttinger,Phys. Rev. B 12:4460 (1975); P. Grassberger and I. Procaccia,J. Chem. Phys. 77:6281 (1982); see also M. D. Donsker and S. R. S. Varadhan,Commun. Pure Appl. Math. 28:525 (1975); J. C. Rassiah, J. Zhu, J. B. Hubbard, and R. J. Rubin,J. Chem. Phys. 93:5768 (1990).Google Scholar
  5. 5.
    J. C. Phillips,Non-Cryst. Solids 34:153 (1979);Physics Today 1982(February):1; G. H. Döhler, R. Dandoloff, and H. Bilz,J. Non-Cryst. Sol. 42:87 (1980); I. P. Swainson and M. T. Dove,Phys. Rev. Lett. 71:197 (1993).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • J. C. Phillips
    • 1
  1. 1.AT & T Bell LaboratoriesMurray Hill

Personalised recommendations