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Random walks on random lattices

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Modern Trends in the Theory of Condensed Matter

Part of the book series: Lecture Notes in Physics ((LNP,volume 115))

Abstract

The salient features of random walks on random lattices are described and contrasted with those of simpler random walks. The dispersion of an injected carrier sheet is discussed for the case when the ac mobility shows a power law dependence on frequency.

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References

  1. Mott N.F. and Davis E.A., 1971, Electronic Processes in Non-crystalline Materials (Oxford: Clarendon Press)

    Google Scholar 

  2. Butcher P.N., 1976, Linear and Nonlinear Electronic Transport in Solids, edited by J.T. DeVreese and V.E. Van Doren (New York: Plenum Press) pp. 341–81

    Google Scholar 

  3. Shklovskii B.I. and Efros A.L., 1976, Sov. Phys. Usp. 18, 845

    Article  ADS  Google Scholar 

  4. Pollak M., 1978, The Metal Non-metal Transition in Disordered Systems, edited by Friedman and D.P. Turnstall (SUSSP Publications, University of Edinburgh) pp. 239–50

    Google Scholar 

  5. Pollak M., 1972, J. Non-cryst. Solids 11, 1

    Article  ADS  Google Scholar 

  6. Scher H. and Lax M., 1973, Phys. Rev. B 7, 4491

    Article  ADS  MathSciNet  Google Scholar 

  7. Scher H. and Lax M., 1973, Phys. Rev. B 7, 4502

    Article  ADS  MathSciNet  Google Scholar 

  8. Scher H. and Montroll E.W., 1975, Phys. Rev. B 12, 2455

    Article  ADS  Google Scholar 

  9. Butcher P.N., 1974, J. Phys. C: Solid St. Phys. 7, 264

    Google Scholar 

  10. Butcher P.N., 1978, Phil. Mag. B 37, 653

    Article  Google Scholar 

  11. Butcher P.N. and Clark J.D., to be published

    Google Scholar 

  12. Pollak M. and Geballe T., 1961, Phys. Rev. 122, 1742

    Article  ADS  Google Scholar 

  13. McInnes J.A., Butcher P.N. and Clark J.D., 1979, to be published in Phil. Mag.

    Google Scholar 

  14. Leal Ferreira, 1977, Phys. Rev. B 16, 4919

    Article  Google Scholar 

  15. Pfister G. and Scher H., 1978, Adv. Phys. 27, 747

    Article  ADS  Google Scholar 

  16. Tunaley J.K.E., 1974, Phys. Rev. Lett. 33, 1037

    Article  ADS  Google Scholar 

  17. Lax, M. and Scher H., 1977, Phys. Rev. Lett. 39, 781

    Article  ADS  Google Scholar 

  18. Noolandi J., 1977, Phys. Rev. B 16, 4474

    Article  ADS  Google Scholar 

  19. Schmidlin F.W., 1977, Phys. Rev. B 16, 2362

    Article  ADS  Google Scholar 

  20. Silver M. and Cohen L., 1977, Phys. Rev. B 15, 3276

    Article  ADS  Google Scholar 

  21. Pollak M., 1977, Phil Mag. 36, 1157

    Article  ADS  Google Scholar 

  22. Marshall J.M., 1978, Phil. Mag. 38, 335

    Article  Google Scholar 

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Andrzej Pękalski Jerzy A. Przystawa

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© 1980 Springer-Verlag

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Butcher, P.N. (1980). Random walks on random lattices. In: Pękalski, A., Przystawa, J.A. (eds) Modern Trends in the Theory of Condensed Matter. Lecture Notes in Physics, vol 115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120134

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  • DOI: https://doi.org/10.1007/BFb0120134

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09752-5

  • Online ISBN: 978-3-540-38628-5

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