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Influence of interactions on the hopping conductivity of classical particles

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Zeitschrift für Physik B Condensed Matter

Abstract

We study interaction effects in ionic conductors within Kawasaki's kinetic Ising model. The hopping rates are related to properties of the interaction potential. Numerical results from a continued fraction expansion are presented for a one-dimensional chain. They show that the dynamic conductivity depends considerably on the choice of the rates.

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References

  1. Kawasaki, K.: In: Phase Transitions and Critical Phenomena. Domb, C., Green, M. eds.), Vol. 2. New York: Academic Press 1972

    Google Scholar 

  2. Binder, K.: In: Phase Transitions and Critical Phenomena. Domb, C., Green, M. (eds.), Vol. 5B. New York: Academic Press 1976

    Google Scholar 

  3. Müller-Krumbhaar, H., Saito, Y.: J. Chem. Phys.70, 1078 (1979)

    Google Scholar 

  4. Brenig, W., Döhler, G., Wölfle, P.: Z. Physik246, 1 (1971)

    Google Scholar 

  5. Kehr, K.W.: In: Hydrogen in Metals. ed. by Alefeld, G., Völkl, J. (eds.), Vol. 1. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  6. Michel, K.H.: J. Chem. Phys.58, 142 (1973)

    Google Scholar 

  7. Dieterich, W., Fulde, P., Peschel, I.: Adv. Phys.29 1980

  8. Dieterich, W., Peschel, I., Schneider, W.R.: Commun. Phys.2, 175 (1977)

    Google Scholar 

In the following referred to as I

  1. Kimball, J.C., Adams, L.W.: Phys. Rev. B18, 5851 (1978)

    Google Scholar 

  2. Baumgärtner, A., Binder, K.: J. Stat. Phys.18, 423 (1978)

    Google Scholar 

  3. Glauber, R.J.: J. Math. Phys.4, 294 (1963)

    Google Scholar 

  4. Kimball, J.C.: J. Stat. Phys.21, 289 (1979)

    Google Scholar 

  5. Deker, U., Haake, F.: Z. Physik B35, 281 (1979)

    Google Scholar 

  6. Wall, H.S.: Analytical Theory of continued Fractions. p. 192. New York: Chelsea Publishing Co. 1948

    Google Scholar 

  7. Dieterich, W., Peschel, I., Schneider, W.R.: Z. Physik B27, 177 (1977)

    Google Scholar 

  8. Richards, P.M.: Phys. Rev. B18, 945 (1978)

    Google Scholar 

  9. Kikuchi, R.: Prog. Theor. Phys. Suppl.35, 1 (1966)

    Google Scholar 

  10. Kikuchi, R.: In: Fast Ion Transport in Solids. ed. by van Gool, W. (ed.), Amsterdam: North Holland 1976

    Google Scholar 

  11. Sato, H., Kikuchi, R.: J. Chem. Phys.55, 677 (1971)

    Google Scholar 

  12. Gebhardt, K.F., Soper, P.D., Merski, J., Balle, T.J., Flygare, W.H.: J. Chem. Phys.72, 272 (1979)

    Google Scholar 

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Authors and Affiliations

  1. Fachbereich Physik, Freie Universität Berlin, Arnimallee 3, D-1000, Berlin 33, Germany

    Hermann Singer & Ingo Peschel

Authors
  1. Hermann Singer
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  2. Ingo Peschel
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Singer, H., Peschel, I. Influence of interactions on the hopping conductivity of classical particles. Z. Physik B - Condensed Matter 39, 333–338 (1980). https://doi.org/10.1007/BF01305833

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  • DOI: https://doi.org/10.1007/BF01305833

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