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New Approach to Justification of the Williams–Landel–Ferry Equation

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Abstract

A derivation of the Williams–Landel–Ferry equation for the temperature dependence of relaxation time τ(T) in the glass transition range is proposed. This derivation is of a general character and is not related to any particular form of the functional dependence τ(T), in contrast to the known approaches. The modification of the Williams–Landel–Ferry equation and examples of its practical applications are considered.

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References

  1. M. L. Williams, R. F. Landel, and J. D. Ferry, J. Am. Chem. Soc. 77 (14), 3701 (1955).

    Article  CAS  Google Scholar 

  2. J. D. Ferry, Viscoelastic Properties of Polymers (Marcel Dekker, New York, 1970).

    Google Scholar 

  3. D. S. Sanditov and G. M. Bartenev, Physical Properties of Disordered Structures (Nauka, Novosibirsk, 1982) [in Russian].

    Google Scholar 

  4. B. A. Bestul, Glastech. Ber. K 32, 59 (1959).

    CAS  Google Scholar 

  5. B. A. Durov and M. I. Shahparonov, Russ. J. Phys. Chem. 53 (10), 2456 (1979).

    CAS  Google Scholar 

  6. D. S. Sanditov, D. B. Dorzhiev, and Zh. P. Baldanov, Zh. Fiz. Khim. 47 (12), 2990 (1973).

    CAS  Google Scholar 

  7. D. S. Sanditov and M. V. Darmaev, Tech. Phys. 62 (1), 53 (2017).

    Article  CAS  Google Scholar 

  8. I. V. Razumovskaya and G. M. Bartenev, in Glassy State. Proceedings of the V All-Union Meeting (Nauka, Leningrad, 1971), p. 34 [in Russian].

    Google Scholar 

  9. MDL(r) SciGlass-7.8 (Inst. Theor. Chem., Sherewsbury, MA, USA, 2012).

  10. G. Adam and J. H. Gibbs, J. Chem. Phys. 43 (1), 139 (1965).

    Article  CAS  Google Scholar 

  11. C. A. Angell, J. Phys. Chem. Solids 49 (8), 836 (1988).

    Article  Google Scholar 

  12. D. S. Sanditov, M. V. Darmaev, and V. V. Mantatov, Polym. Sci., Ser. A 57 (1), 45 (2015).

    Article  Google Scholar 

  13. V. G. Rostiashvili, V. I. Irzhak, and B. A. Rozenberg, Glass Transitions in Polymers (Khimiya, Leningrad, 1987) [in Russian].

    Google Scholar 

  14. D. S. Sanditov, I. V. Razumovskaya, and G. M. Bartenev, Vysokomol. Soedin. 10 (10), 745 (1968).

    CAS  Google Scholar 

  15. G. M. Bartenev, Dokl. Akad. Nauk SSSR 76 (2), 227 (1951).

    CAS  Google Scholar 

  16. M. V. Vol’kenshtein and O. B. Ptitsyn, Dokl. Akad. Nauk SSSR 103 (5), 795 (1955).

    Google Scholar 

  17. S. V. Nemilov, Glass Phys. Chem. 39 (6), 609 (2013).

    Article  CAS  Google Scholar 

  18. G. M. Bartenev and D. S. Sanditov, Relaxation Processes in Glassy Systems (Nauka, Novosibirsk, 1986) [in Russian].

    Google Scholar 

  19. S. V. Stolyar and S. A. Besedina, Fiz. Khim. Stekla 18 (3), 88 (1992).

    CAS  Google Scholar 

  20. D. S. Sanditov, J. Exp. Theor. Phys. 123 (3), 429 (2016).

    Article  CAS  Google Scholar 

  21. S. V. Nemilov, J. Non-Cryst. Solids 353 (52–54), 4613 (2007).

    Article  CAS  Google Scholar 

  22. L. I. Mandel’shtam and M. A. Leontovich, Zh. Exp. Theor. Fiz. 7 (3), 438 (1937).

    Google Scholar 

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Authors and Affiliations

  1. Buryat State University, ul. Smolina 24a, Ulan-Ude, 670000, Russia

    D. S. Sanditov

  2. Institute of Physical Materials Science, Siberian Branch, Russian Academy of Sciences, ul. Sakh’yanovoi 6, Ulan-Ude, 670047, Russia

    D. S. Sanditov

  3. Moscow State Pedagogical University, ul. Malaya Pirogovskaya 29/7, str. 1, Moscow, 119435, Russia

    I. V. Razumovskaya

Authors
  1. D. S. Sanditov
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  2. I. V. Razumovskaya
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Correspondence to D. S. Sanditov.

Additional information

Original Russian Text © D.S. Sanditov, I.V. Razumovskaya, 2018, published in Vysokomolekulyarnye Soedineniya, Seriya A, 2018, Vol. 60, No. 2, pp. 110–115.

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Sanditov, D.S., Razumovskaya, I.V. New Approach to Justification of the Williams–Landel–Ferry Equation. Polym. Sci. Ser. A 60, 156–161 (2018). https://doi.org/10.1134/S0965545X18020128

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  • DOI: https://doi.org/10.1134/S0965545X18020128

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