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Spectral Properties of Excited States in Restricted Geometries

  • J. Klafter
  • J. M. Drake
Part of the NATO ASI Series book series (NSSB, volume 301)

Abstract

Dynamics of excited states in restricted geometries are known to display nonexponential decays. In this paper we review different approaches to analyzing nonexponential decay functions, with emphasis on the stretched exponential form. We concentrate on a few solvable models for which the stretched exponential law follows in a natural fashion. Although each model describes a different mechanism, it is shown that they have the same underlying reason for the stretched exponential pattern: the existence of scale invariant relaxation times. We bring examples for applications in some real systems.

Keywords

Malachite Green Direct Transfer Relaxation Function Restricted Geometry Crossover Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. Klafter and J.M. Drake, Eds Molecular Dynamics in Restricted Geometries (Wiley, New York, 1989).Google Scholar
  2. 2.
    J.M. Drake and J. Klafter, Phys. Today, 43, 46 (1990).ADSCrossRefGoogle Scholar
  3. 3.
    P. Levitz, J.M. Drake and J. Klafter, J. Chem. Phys., 89, 5224 (1988).ADSCrossRefGoogle Scholar
  4. 4.
    J.D. Byers, M.S. Friedricks, R.A. Friesner and S.E. Webber, in Ref.l.Google Scholar
  5. 5.
    H.F. Kauffmann, G. Landl and H.W. Engl, in Dynamical Processes in Condensed Molecular System, Ed. A. Blumen, J. Klafter and D. Haarer (World Scientific, Singapore, 1991).Google Scholar
  6. 6.
    N. Mataga, in Ref.l.Google Scholar
  7. 7.
    M. Maroncelli and G.R. Fleming, J. Chem. Phys., 86, 6221 (1987).ADSCrossRefGoogle Scholar
  8. 8.
    M.F. Shlesinger, Ann. Rev. Phys. Chem., 39, 269 (1988).CrossRefGoogle Scholar
  9. 9.
    J.R. Miller, Chem. Phys. Lett., 22, 180 (1973).ADSCrossRefGoogle Scholar
  10. 10.
    M. Daoud and J. Klafter, J. Phys., A23, 180 (1973).Google Scholar
  11. 11.
    D.R. James, Y.S. Liu, P. de Mayo and W.R. Ware, Chem. Phys. Lett., 120, 460 (1985).ADSCrossRefGoogle Scholar
  12. 12.
    J.M. Beechem, M. Ameloot and L. Brand, Chem. Phys. Lett., 120, 466 (1985).ADSCrossRefGoogle Scholar
  13. 13.
    Some history and references are in E.W. Montroll and J.T. Bendler, J. Stat. Phys., 34, 129 (1984).MathSciNetADSMATHCrossRefGoogle Scholar
  14. 14.
    G. Williams and D.C. Watts, Trans Faraday Soc., 66, 80 (1970).CrossRefGoogle Scholar
  15. 15.
    J. Klafter and M.F. Shlesinger, Proc. Natl. Acad. Sci. USA, 83, 848 (1986).ADSCrossRefGoogle Scholar
  16. 16.
    Inokuti and Hirayama, J. Chem. Phys., 43, 1965 (1978).Google Scholar
  17. 17.
    H. Scher and E.W. Montroll, Phys. Rev., B12, 1434 (1985).Google Scholar
  18. 18.
    T. Förster, Ann.Phys.(Leipzig) 2 (1948) 55; Naturforscher Teil, 4, 321 (1949).Google Scholar
  19. 19.
    R.G. Palmer, D. Stein, E.S. Abrahms and P.W. Anderson, Phys. Rev. Lett. 53, 958 (1984).ADSCrossRefGoogle Scholar
  20. 20.
    A. Blumen, J. Klafter and G. Zumofen, in Optical Spectroscopy of Glasses, Ed. I. Zschokke (Reidel, Dordrecht, 1986).Google Scholar
  21. 21.
    A. Blumen, Nuovo Cimento B63, 50 (1981).ADSGoogle Scholar
  22. 22.
    J. Klafter and A. Blumen, J. Chem. Phys., 80, 875 (1984).ADSCrossRefGoogle Scholar
  23. 23.
    S. Redner and K. Kang, J. Phys., A17, L451 (1984).ADSGoogle Scholar
  24. 24.
    A. Blumen, G. Zumofen and J. Klafter, J. de Physique, Colloque C7, 46 C7–3 (1985).Google Scholar
  25. 25.
    J.M. Drake, J. Klafter and P. Levitz, Science, 251, 1574 (1991).ADSCrossRefGoogle Scholar
  26. 26.
    R. Kopelman, Science, 241, 1620 (1988).ADSCrossRefGoogle Scholar
  27. 27.
    U. Even, K. Rademann, J. Jortner, N. Manor and R. Reisfeld, Phys. Rev. Lett. 52, 2164 (1984).ADSCrossRefGoogle Scholar
  28. 28.
    C.L. Yang, P. Evesque and M.A. El-Sayed, in ref.l.Google Scholar
  29. 29.
    N. Tamai, T. Yamazaki and I. Yamazaki, Chem. Phys. Lett., 147, 25 (1988).ADSCrossRefGoogle Scholar
  30. 30.
    P. Levitz and J.M. Drake, in Dynamics in Small Confining Systems, MRS Extended Abstracts, Eds. J.M. Drake, J. Klafter and R. Kopelman (MRS, Pittsburgh, 1990).Google Scholar
  31. 31.
    V.Degiorgio, T. Bellini, R. Piazza, F. Mantegazza and R.E. Goldstein, Phys. Rev. Lett., 64, 1043 (1990).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • J. Klafter
    • 1
  • J. M. Drake
    • 2
  1. 1.School of ChemistryTel Aviv UniversityTel AvivIsrael
  2. 2.Exxon Research and EngineeringAnnandaleUSA

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