Abstract
A liquid-glass transition (vitrification) has been analyzed in terms of the softening of a solid phase through diffusion jumps. It has been shown that the assumption of a Gibbs momentum distribution (in fact, local thermalization) in glass automatically results in the existence of diffusion in glasses at any temperatures. In view of this conclusion, the possibility of a virtual “thermodynamic” transition responsible for vitrification is questionable. A model of jumps of “hot” particles has been proposed that predicts the existence of two characteristic temperatures TA and TB and describes qualitative changes in the temperature dependence of the viscosity of a liquid upon cooling (“Arrhenius”—“super-Arrhenius”—“Arrhenius”). The temperatures TA and TB are related to the number of particles in the first coordination sphere and the number of particles in the region of structural correlations (intermediate order region) in disordered media. The concept of ergodicity is discussed in application to glasses.
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References
T. V. Tropin, J. W. Schmelzer, and V. L. Aksenov, Phys. Usp. 59, 42 (2016).
D. S. Sanditov and M. I. Ojovan, Phys. Usp. 62, 111 (2019).
G. Parisi, P. Urbani, and F. Zamponi, Theory of Simple Glasses (Cambridge Univ. Press, Cambridge, 2020).
V. S. Dotsenko, Phys. Usp. 36, 455 (1993).
W. Götze, J. P. Hansen, D. Levesque, and J. Zinn-Justin, Liquids., Freezing and the Glass Transition (North-Holland, Amsterdam, 1992).
H. Osada, Probab. Theory Relat. Fields 112, 53 (1998).
K. S. Schweizer and E. J. Saltzman, J. Chem. Phys. 119, 1181 (2003).
T. R. Kirkpatric, D. Thirumalai, and P. G. Wolynes, Phys. Rev. A 40, 1045 (1989).
A. Wisitorasak and P. G. Wolynes, J. Phys. Chem. B 118, 7835 (2014).
J. Khouri and G. P. Johari, J. Chem. Phys. 138, 2013 (2013).
J. C. Mauro, Y. Yue, A. J. Ellison, P. K. Gupta, and D. C. Allan, Proc. Natl. Acad. Sci. U. S. A. 106, 19780 (2009).
G. M. Zaslavskii, Stochasticity of Dynamic Systems (Nauka, Moscow, 1985).
A. M. Kosevich and A. S. Kovalev, Introduction to Nonlinear Physical Mechanics (Nauk. Dumka, Kiev, 1989) [in Russian].
L. D. Landau, E. M. Livshits, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
V. E. Zakharov and R. V. Shamin, JETP Lett. 96, 66 (2012).
V. P. Ruban, J. Exp. Theor. Phys. 120, 925 (2015).
V. A. Popova and N. Surovtsev, Phys. Rev. E 90, 032308 (2014).
N. Surovtsev, S. V. Adichtchev, and V. K. Malinovsky, Phys. Rev. E 76, 031502 (2007).
M. Ronald, Soft Matter 4, 2316 (2008).
V. N. Novikov and A. P. Sokolov, Phys. Rev. E 92, 062304 (2015).
F. Stickel, E. W. Fischer, and R. Richet, J. Chem. Phys. 104, 2043 (1996).
S. Hansen, F. Stickel, R. Richet, and E. W. Fischer, J. Chem. Phys. 108, 6408 (1998).
K. Trachenko, J. Phys.: Condens. Matter 23, 366003 (2011).
V. V. Brazhkin, Phys. Usp. 49, 719 (2006).
K. Trachenko and V. V. Brazhkin, J. Phys.: Condens. Matter 21, 425104 (2009).
Acknowledgments
I am grateful to K. Trachenko, V.N. Ryzhov, and N.V. Surovtsev for stimulating discussions and to I.V. Danilov and P.V. Enkovich for assistance in the preparation of the manuscript.
Funding
This work was supported by the Russian Science Foundation (project no. 19-12-00111).
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Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 11, pp. 787–793.
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Brazhkin, V.V. Kinetic Model of Softening of Glasses. Jetp Lett. 112, 745–751 (2020). https://doi.org/10.1134/S0021364020230058
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DOI: https://doi.org/10.1134/S0021364020230058