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
Hill, R. M. Nature 275, 96 (1978).
Jonscher, A. K. Colloid Polymer Sci. 253, 231 (1975).
Jonscher, A. K. Phys. stat. sol. 83, 585 (1977); 84, 154 (1977).
Jonscher, A. K. Nature 267, 673 (1977).
Jonscher, A. K. Physics of Thin Films (ed. Francombe, M. H.) (Academic, New York, in the press).
Ngai, K. L., Jonscher, A. K. & White, C. T. Nature, 277, 185 (1979).
Anderson, P. W., Halperin, B. I. & Varma, C. Phil. Mag. 25, 1 (1972).
Phillips, W. A. J. Low. Temp. Phys. 7, 351 (1972).
Hopfield, J. J. Commun. Sol. State. Phys. 11, 40 (1969).
Davydov, A. S. Quantum Mechanics (Pergamon, Oxford, 1965).
Clarke, M. D., Craig, D. P. & Dissado, L. A. Molec. Cryst. Liquid Cryst. 44, 309 (1978).
Toyozawa, Y. J. Luminescence 1, 2, 732 (1970).
Duke, C. B. & Mahan, G. D. Phys. Rev. 139, A1965 (1965).
Goldberger, M. L. & Watson, K. M. Collision Theory (Wiley, New York, 1964).
Ferrell, R. A. Phys. Rev. 186, 399 (1969).
Yuval, G. & Anderson, P. W. Phys. Rev. B 1, 1522 (1970).
Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions, (Dover, New York, 1965).
Hunklinger, S. & Arnold, W. Phys. Acoustics 12, 155 (1976).
Joffrin, J. & Levelut, A. J. Phys. (Paris) 36, 11 (1975).
Jackle, J., Piche, L., Arnold, W. & Hunklinger, S. J. Non-Cryst. Sol. 20, 365 (1976).
Parry Jones, G. Transfer and Storage of Energy by Molecules Vol. 4, 471 (Wiley, London, 1974).
Rubenstein, M., Reising, H. A., Reinecke, T. L. & Ngai, K. L. Phys. Rev. Lett. 34, 1444 (1975).
Brereton, M. G. & Davies, G. R. Polymer 18, 764 (1977).
Slater, L. J. Confluent Hypergeometric Functions (Cambridge University Press, 1960).
Bozdemir, S. thesis, Univ. London (1978).
Slater, L. J. Generalised Hypergeometric Functions (Cambridge University Press, 1966).
McCrum, N. G., Read, B. E. & Williams, G. Anelastic and Dielectric Effects in Polymeric Solids (Wiley, London, 1967).
Bondi, A. Physical Properties of Molecular Crystals, Liquids and Gasses (Wiley, New York, 1968).
Jonscher, A. K. Nature 253, 717 (1975).
Kluver, W. & Roland, W. Prog. Colloid Polymer. Sci. 64, 235 (1978).
Eden, D., Garland, C. W. & Williamson, R. C. J. chem. Phys. 58, 1861 (1973).
Fonda, L., Ghirardi, G. C. & Rimini, A. Rep. Prog. Phys. 41, 587 (1978).
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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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DOI: https://doi.org/10.1038/279685a0
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