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Statistical physics of dynamic systems with variable memory

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References

  1. N. N. Bogolyubov, Dynamic Problems in Statistical Physics (OGIZ, Moscow, 1946).

    Google Scholar 

  2. Yu. L. Klimontovich, Statistical Physics of Open Systems (Yanus, Moscow, 1995/1999/2001; Kluwer, Dordrecht, 1995/1999/2001), Vols. 1, 2, 3.

    Google Scholar 

  3. I. G. Prigogine, The End of Certainty (Free Press, New York, 1997).

    Google Scholar 

  4. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).

    Google Scholar 

  5. A. V. Chechkin, R. Gorenflo, and I. M. Sokolov, Phys. Rev. E 66, 046129 (2002).

    Google Scholar 

  6. W. G. Gloecke and T. F. Nonnenmacher, J. Stat. Phys. 71(34), 741 (1993).

    Google Scholar 

  7. V. L. Kobelev, E. P. Romanov, L. Ya. Kobelev, and Ya. L. Kobelev, Dokl. Akad. Nauk 361, 755 (1998) [Dokl. Phys. 43, 487 (1998)].

    MathSciNet  Google Scholar 

  8. W. Day, Thermodynamics of Simple Materials with Fading Memory (Springer-Verlag, Berlin, 1972; Mir, Moscow, 1974).

    Google Scholar 

  9. V. Ya. Shur, S. A. Negashev, et al., Ferroelectrics 169, 63 (1995).

    Google Scholar 

  10. P. V. Korolev and S. N. Kul’kov, Perspekt. Mater., No. 3, 21 (1997).

  11. V. S. Ivanova, A. S. Balankin, I. Zh. Bunin, and A. A. Oksogoev, Synergetics and Fractals in Materials Science (Nauka, Moscow, 1994).

    Google Scholar 

  12. L. Ya. Kobelev, Fractal Theory of Time and Space, Available from VINITI, No. 2677-B99 (Moscow, 1999).

  13. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications (Nauka i Tekhnika, Minsk, 1987; Gordon and Breach, Amsterdam, 1993).

    Google Scholar 

  14. I. M. Gelfand and G. E. Shilov, Generalized Functions (Academic, New York, 1964).

    Google Scholar 

  15. Ya. L. Kobelev, L. Ya. Kobelev, and Yu. L. Klimontovich, Dokl. Akad. Nauk 390(5) (1993) (in press).

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Translated from Doklady Akademii Nauk, Vol. 390, No. 6, 2003, pp. 758–762.

Original Russian Text Copyright © 2003 by Ya. Kobelev, L. Kobelev, Klimontovich.

Deceased.

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Kobelev, Y.L., Kobelev, L.Y. & Klimontovich, Y.L. Statistical physics of dynamic systems with variable memory. Dokl. Phys. 48, 285–289 (2003). https://doi.org/10.1134/1.1591315

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