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Conductivity via Nonequilibrium Statistical Physics

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Book cover Linear and Nonlinear Electron Transport in Solids

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 17))

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Abstract

In these lectures we shall sketch the philosophy behind nonequilibrium Statistical Physics and illustrate the procedure using an exactly soluble model. We shall concentrate on the question of direct conductivity and mean energy.

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References

  1. . Feynman, R.P., Hellwarth, R.W., Iddings, C.K. and Platzman, P.M., Phys. Rev. 127, 1004 (1962)

    Article  ADS  MATH  Google Scholar 

  2. Thornber, K.K. and Feynman, R.P., Phys. Rev., B1, 4099 (1966).

    Google Scholar 

  3. Extensive work concerning the optical properties and conductivity within the polaron model has been carried out by Devreese and co-workers: J. Devreese, J. De Sitter and M. Goovaerts, Phys. Rev. B5, 2367 (1972).

    Article  ADS  Google Scholar 

  4. W. Huybrechts, J. De Sitter and J.T. Devreese, Solid State Comm. 13, 163 (1973).

    Article  ADS  Google Scholar 

  5. L.F. Lemmens, J. De Sitter and J. T. Devreese, Phys. Rev. B, 8, 2717 (1973).

    Article  ADS  Google Scholar 

  6. E. Kartheuser, R. Evrard, J.T. Devreese, Phys. Rev. Letters, 22, 94 (1969)

    Article  ADS  Google Scholar 

  7. J.T. Devreese, J. Van Royen and L.F. Lemmens : Sum Rule for Optical Absorption (Pre-print).

    Google Scholar 

  8. J.T. Devreese, R.Evrard and E. Kartheuser: Self Consistent Equation of Motion Approach for Polarons (To appear in Phys. Rev. B).

    Google Scholar 

  9. 1h. Also the conductivity in the polaron problem has been treated with the Boltzmann equation by J.T. Devreese and R. Evrard: The momentum Distribution of Electrons in Polar Semiconductors for High Electric Field’ (Preprint). Abstract: Bull. Am. Phys. Soc., EG5, 404 (1975).

    Google Scholar 

  10. Mazur, P. and Brown, E., Physica, 30 1973 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  11. Mazur, P. and Siskens, Th.J., Physica, 47, 245 (1970)

    Article  ADS  Google Scholar 

  12. Storer, R.G., J. Math. Phys., 12, 1296 (1971)

    Article  ADS  Google Scholar 

  13. Deutch, J..M. and Silbey, R., Phys. Rev. A3, 2049 (1971)

    Article  ADS  Google Scholar 

  14. Ford, G.W., Kac, M. and Mazur, P., J. Math. Phys. 6, 505 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  15. Fujiwara, I., Hemmer, P.C. and Wergeland, H., Prog. Theor. Phys. Suppl. Nos 37 and 38, 149 (1966)

    Article  ADS  Google Scholar 

  16. Heurta, M.A. and Robertson, H.S., J. Stat. Phys , 3, 171 (1971)

    Article  ADS  Google Scholar 

  17. Mazur, P. and Montroll, E., J. Math. Phys. 1, 70 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Klein, G. and Prigogine, I., Physica 19, 1053 (1953)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. Prigogine, I., and Bingen, R., Physica 21, 299 (1955)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. For the electrical analogue of a harmonic chain lattice see: Stevens, K.W.H., Proc. Phys. Soc. 77, 515 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Rubin, R.J. , J. Math. Phys.,1, 309 (1960)

    Article  ADS  Google Scholar 

  22. Rubin, R.J., J. Math. Phys. 2, 373 (1961)

    Article  ADS  Google Scholar 

  23. Turner, R.E., Physica 26, 274, (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. Ullersma P., Physica 32, 74, (1966)

    Article  MathSciNet  ADS  Google Scholar 

  25. Papadopoulos, G.J., Physica 74, 529 (1974)

    Article  ADS  Google Scholar 

  26. Feynman, R.P. and Hibbs, A.R., Quantum Mechanics and Path Integrals, McGraw-Hill pp. 63–64. (New York,1965)

    MATH  Google Scholar 

  27. Schrödinger, E., Ann. Physik 44, 196 (1914)

    Google Scholar 

  28. Papadopoulos, G.J., J. Phys. A6, 1479 (1973)

    ADS  Google Scholar 

  29. Hemmer, P.C. and Wergeland, H.K., Norske Vindensk.Selsk, Forhandl., 30, 137 (1957)

    MathSciNet  Google Scholar 

  30. Gradstein, I.S., and Ryzhik, I.M., Tables of Integrals, Series and Products, Academic Press, p. 419 (London,1965).

    Google Scholar 

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Papadopoulos, G.J. (1976). Conductivity via Nonequilibrium Statistical Physics. In: Devreese, J.T., van Doren, V.E. (eds) Linear and Nonlinear Electron Transport in Solids. NATO Advanced Study Institutes Series, vol 17. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0875-2_2

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  • DOI: https://doi.org/10.1007/978-1-4757-0875-2_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0877-6

  • Online ISBN: 978-1-4757-0875-2

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