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Einstein relation for quantum systems

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Abstract

The Einstein relation between the diffusion constantD and the mobilityu is discussed for various quantum systems, proceeding from the analysis of the general thermodynamic relation. Comparison between the kinematic and the thermodynamic derivation reveals the possibility to use the Einstein relation in investigations of the particle energy distribution in nonequilibrium conditions.

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References

  1. A. Einstein,Ann. Phys. (Leipzig) 17:549 (1905);19:289 (1906);Zs. Elektrochem. 13:41 (1907);Ann. Phys. (Leipzig) 34:591 (1911).

    Google Scholar 

  2. T. F. O'Malley,Phys. Lett. 95A:32 (1983).

    Google Scholar 

  3. M. Singh, J. Leotin, and P. R. Wallese,Phys. Stat. Sol. (b) 115:105 (1983).

    Google Scholar 

  4. L. D. Landau and E. M. Lifshitz,Mechanics of Continuous Media (Moscow, 1953).

  5. S. R. de Groot,Thermodynamics of Irreversible Processes (North-Holland, Amsterdam, 1952).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz,Statistical Physics, Part 1 (Nauka, Moscow, 1975).

    Google Scholar 

  7. E. M. Lifshitz and L. P. Pitaevskii,Physical Kinetics (Nauka, Moscow, 1979).

    Google Scholar 

  8. I. M. Lifshitz, M. Ya. Asbel', and M. I. Kaganov,Electron Theory of Metals (Nauka, Moscow, 1971).

    Google Scholar 

  9. N. W. Ascroft and N. D. Mermin,Solid State Physics (Holt, Rinehart and Winston, New York, 1976).

    Google Scholar 

  10. A. F. Andreev, Defects and surface phenomena in quantum crystals, inQuantum Theory of Solids, I. M. Lifshitz, ed. (Mir, Moscow, 1982).

    Google Scholar 

  11. L. I. Rashba and M. D. Sturge, eds.,Excitons (North-Holland, Amsterdam, 1982).

    Google Scholar 

  12. V. S. Bogaev, T. I. Galkina, O. V. Gogolin, and L. V. Keldysh,Pisma Zh. Eksp. Teor. Fiz. 10:309 (1969).

    Google Scholar 

  13. V. B. Fiks,Pisma Zh. Eksp. Teor. Fiz. 20:33 (1974).

    Google Scholar 

  14. V. E. Zakharov, V. S. L'vov, and S. S. Starobinets,Usp. Fis. Nauk 114:609 (1974).

    Google Scholar 

  15. I. Silvera and J. Walraven,Sci. Am. 246:58 (1982).

    Google Scholar 

  16. I. M. Tsidilkovskii,Band Structure of Semiconductors (Nauka, Moscow, 1972).

    Google Scholar 

  17. L. D. Landau,Zh. Eksp. Teor. Fiz. 30:1058 (1956).

    Google Scholar 

  18. I. M. Khalatnikov,Theory of Superfluidity (Nauka, Moscow, 1971).

    Google Scholar 

  19. A. V. Gurevich, Nonlinear phenomena in the ionosphere, inPhysics and Chemistry in Space, Vol. 10 (Springer, New York, 1978).

    Google Scholar 

  20. M. I. Kaganov and A. A. Slutskin,Phys. Rep. V. 98:190 (1983).

    Google Scholar 

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Kaganov, M.I., Fiks, V.B. Einstein relation for quantum systems. J Stat Phys 38, 329–345 (1985). https://doi.org/10.1007/BF01017865

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