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Non-exponential decay in dielectrics and dynamics of correlated systems

Nature volume 279, pages 685–689 (1979)Cite this article

Abstract

A new model for the relaxation of a potential perturbation in dielectric materials is developed based on the correlated properties of a two-level system containing two types of decay mechanism. The time and frequency behaviour of the general relaxation process is shown to be in accord with recent experimental analyses. The technique developed to analyse the model is of general applicability in the solid, and liquid, state.

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References

  1. Hill, R. M. Nature 275, 96 (1978).

    Article  ADS  CAS  Google Scholar 

  2. Jonscher, A. K. Colloid Polymer Sci. 253, 231 (1975).

    Article  CAS  Google Scholar 

  3. Jonscher, A. K. Phys. stat. sol. 83, 585 (1977); 84, 154 (1977).

    Article  ADS  CAS  Google Scholar 

  4. Jonscher, A. K. Nature 267, 673 (1977).

    Article  ADS  CAS  Google Scholar 

  5. Jonscher, A. K. Physics of Thin Films (ed. Francombe, M. H.) (Academic, New York, in the press).

  6. Ngai, K. L., Jonscher, A. K. & White, C. T. Nature, 277, 185 (1979).

    Article  ADS  CAS  Google Scholar 

  7. Anderson, P. W., Halperin, B. I. & Varma, C. Phil. Mag. 25, 1 (1972).

    Article  ADS  CAS  Google Scholar 

  8. Phillips, W. A. J. Low. Temp. Phys. 7, 351 (1972).

    Article  ADS  CAS  Google Scholar 

  9. Hopfield, J. J. Commun. Sol. State. Phys. 11, 40 (1969).

    Google Scholar 

  10. Davydov, A. S. Quantum Mechanics (Pergamon, Oxford, 1965).

    Google Scholar 

  11. Clarke, M. D., Craig, D. P. & Dissado, L. A. Molec. Cryst. Liquid Cryst. 44, 309 (1978).

    Article  CAS  Google Scholar 

  12. Toyozawa, Y. J. Luminescence 1, 2, 732 (1970).

    Article  ADS  Google Scholar 

  13. Duke, C. B. & Mahan, G. D. Phys. Rev. 139, A1965 (1965).

    Article  ADS  Google Scholar 

  14. Goldberger, M. L. & Watson, K. M. Collision Theory (Wiley, New York, 1964).

    MATH  Google Scholar 

  15. Ferrell, R. A. Phys. Rev. 186, 399 (1969).

    Article  ADS  Google Scholar 

  16. Yuval, G. & Anderson, P. W. Phys. Rev. B 1, 1522 (1970).

    Article  ADS  Google Scholar 

  17. Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions, (Dover, New York, 1965).

    MATH  Google Scholar 

  18. Hunklinger, S. & Arnold, W. Phys. Acoustics 12, 155 (1976).

    Article  CAS  Google Scholar 

  19. Joffrin, J. & Levelut, A. J. Phys. (Paris) 36, 11 (1975).

    Article  Google Scholar 

  20. Jackle, J., Piche, L., Arnold, W. & Hunklinger, S. J. Non-Cryst. Sol. 20, 365 (1976).

    Article  ADS  Google Scholar 

  21. Parry Jones, G. Transfer and Storage of Energy by Molecules Vol. 4, 471 (Wiley, London, 1974).

    Google Scholar 

  22. Rubenstein, M., Reising, H. A., Reinecke, T. L. & Ngai, K. L. Phys. Rev. Lett. 34, 1444 (1975).

    Article  ADS  Google Scholar 

  23. Brereton, M. G. & Davies, G. R. Polymer 18, 764 (1977).

    Article  CAS  Google Scholar 

  24. Slater, L. J. Confluent Hypergeometric Functions (Cambridge University Press, 1960).

    MATH  Google Scholar 

  25. Bozdemir, S. thesis, Univ. London (1978).

  26. Slater, L. J. Generalised Hypergeometric Functions (Cambridge University Press, 1966).

    Google Scholar 

  27. McCrum, N. G., Read, B. E. & Williams, G. Anelastic and Dielectric Effects in Polymeric Solids (Wiley, London, 1967).

    Google Scholar 

  28. Bondi, A. Physical Properties of Molecular Crystals, Liquids and Gasses (Wiley, New York, 1968).

    Google Scholar 

  29. Jonscher, A. K. Nature 253, 717 (1975).

    Article  ADS  CAS  Google Scholar 

  30. Kluver, W. & Roland, W. Prog. Colloid Polymer. Sci. 64, 235 (1978).

    Google Scholar 

  31. Eden, D., Garland, C. W. & Williamson, R. C. J. chem. Phys. 58, 1861 (1973).

    Article  ADS  CAS  Google Scholar 

  32. Fonda, L., Ghirardi, G. C. & Rimini, A. Rep. Prog. Phys. 41, 587 (1978).

    Article  ADS  CAS  Google Scholar 

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Authors and Affiliations

  1. Chelsea College, University of London, Pulton Place, London, SW6, UK

    L. A. Dissado & R. M. Hill

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  1. L. A. Dissado
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  2. R. M. Hill
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Dissado, L., Hill, R. Non-exponential decay in dielectrics and dynamics of correlated systems. Nature 279, 685–689 (1979). https://doi.org/10.1038/279685a0

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