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Extremal properties of the nonequilibrium statistical operator

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Literature Cited

  1. J. W. Gibbs, Elementary Principles in Statistical Mechanics, Dover, New York (1960) (1st edition, 1902).

    Google Scholar 

  2. E. T. Janes, Phys. Rev.,106, 620 (1957);108, 171 (1957); Information Theory and Statistical Mechanics, Bradeis Lectures,3, 160 (1963).

    Google Scholar 

  3. D. N. Zubarev, Dokl. Akad. Nauk SSR,140, 92 (1961);162, 532, 794 (1964);164, 65 (1965).

    Google Scholar 

  4. I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, New York (1961).

  5. S. R. de Groot and P. Mazur, Nonequilibrium Thermodynamics, North Holland Publ. Co. Amsterdam; Interscience, New York (1962).

    Google Scholar 

  6. P. Glansdorf and I. Prigogine, Physica,20, 773 (1954);30, 351 (1964);31, 1242 (1965); R. T. Donnelly, R. Herman, and I. Prigogine, Proc. Symposium held at Univ. Chicago, May, 1965 (1966).

    Google Scholar 

  7. N. N. Bogolyubov, Problems of Dynamical Theory and Statistical Physics [in Russian], Gostekhizdat (1946).

  8. S. V. Peletminskii and A. A. Yatsenko, Zh. Éksp. Teor. Fiz.,53, 1327 (1967).

    Google Scholar 

  9. J. A. McLennan, Phys. Fluids,3, 493 (1960); Adv. Chem. Phys.,5, 261 (1963).

    Google Scholar 

  10. L. L. Buishvili and D. N. Zubarev, Fiz. Tverd. Tela,7, 22 (1965).

    Google Scholar 

  11. L. L. Buishvili, Fiz. Tverd. Tela,7, 1871 (1965);9, 2157 (1967); Zh. Éksp. Teor. Fiz.,49, 1868 (1965)

    Google Scholar 

  12. V. P. Kalashnikov, Fiz. Met. i Metallov., 22, 786 (1966); Fiz. Tverd. Tel.,9, 634 (1967); Phys. Stat. Sol.,21, 775 (1967); Fiz. Tekh. Poluprovodnikov,1, 1281 (1967); Phys. Lett.26A, 433 (1968).

    Google Scholar 

  13. L. A. Pokrovskii, Dokl. Akad. Nauk SSSR,183, 806 (1968).

    Google Scholar 

  14. D. N. Zubarev and A. G. Bashkirov, Phys. Lett.,25A, 202 (1967); Physica,39, 334 (1968).

    Google Scholar 

  15. T. N. Khazanovich and V. A. Savchenko, Phys. Lett.,27, 615 (1968).

    Google Scholar 

  16. L. L. Buishvili, M. D. Zviadadze, and G. R. Khutsishvili, Zh. Éksp. Teor. Fiz.,54, 876 (1968).

    Google Scholar 

  17. L. L. Buishvili and M. D. Zviadadze, ZhÉTF Pis. Red.,6, 665 (1967); Phys. Lett.,24A, 634, 661 (1967);25A, 86 (1967); Fiz. Tverd. Tela,10, 2397, 2553 (1968);9, 1969 (1967).

    Google Scholar 

  18. M. Gell-Mann and M. L. Goldberger, Phys. Rev.,91, 398 (1953).

    Google Scholar 

  19. N. N. Bogolyubov, Quasi-means in Problems of Statistical Mechanics, Preprint D-788 [in Russian], OIYaI (1961).

  20. N. N. Bogolyubov, Physica, Suppl.,26, 1 (1960).

    Google Scholar 

  21. R. Kubo, M. Yokota, and S. Nakajima, J. Phys. Soc. Japan,12, 1207 (1957).

    Google Scholar 

  22. H. Mori, Phys. Rev.,112, 1829 (1958); Progr. Theor. Phys.,28, 763 (1962).

    Google Scholar 

  23. L. P. Kadanoff and P. S. Martin, Ann. Phys.,24, 419 (1963).

    Google Scholar 

  24. J. M. Luttinger, Phys. Rev.,135A, 1505 (1964).

    Google Scholar 

  25. R. Zwanzig, Ann. Rev. Phys. Chem.,16, 67 (1965).

    Google Scholar 

  26. G. V. Chester, Rep. Progr. Phys.,26, 411 (1963).

    Google Scholar 

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Authors
  1. D. N. Zubarev
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  2. V. P. Kalashnikov
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Additional information

V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 1, No. 1, pp. 137–149, October, 1969.

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Zubarev, D.N., Kalashnikov, V.P. Extremal properties of the nonequilibrium statistical operator. Theor Math Phys 1, 108–118 (1969). https://doi.org/10.1007/BF01028575

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  • DOI: https://doi.org/10.1007/BF01028575

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