Abstract
The behavior of the autocorrelation functions of shear stress and the kinematic viscosity coefficient during glass transition processes is studied by means of molecular dynamics using the example of liquid aluminum. A film of liquid metal cooled at a rate of 2 × 1012 K/s is simulated. The dependence of the kinematic viscosity coefficient on temperature is obtained using the Green–Kubo formula. Over long periods of time, the behavior of the autocorrelation functions is approximated by a power-law dependence throughout the range of temperatures. The dependence of the exponent on temperature, which enables us to estimate the temperature of the transition from the liquid to the amorphous state (it agrees with the temperature from the calorimetric criterion), is given. The temperature of the transition to glass is determined. When it is lower than that of the glass transition, features of a solid body appear: shear stress is maintained and transverse oscillations arise.
Similar content being viewed by others
REFERENCES
A. Takeuchi and A. Inoue, Mater. Sci. Eng. 446, 304 (2001).
L. N. Kolotova, G. E. Norman, and V. V. Pisarev, J. Non-Cryst. Solids 429, 98 (2015).
A. I. Fedorchenko, J. Non-Cryst. Solids 475, 362 (2017).
L. Zhong, J. Wang, H. Sheng, et al., Nature (London, U.K.) 512, 177 (2014).
J. Schroers, Nature (London, U.K.) 512, 142 (2014).
Y. Waseda and H. S. Chen, Phys. Status Solidi A 49, 387 (1978).
D. K. Belashchenko, Russ. J. Phys. Chem. A 90, 707 (2016).
V. P. Voloshin and Yu. I. Naberukhin, Zh. Strukt. Khim. 38, 62 (1997).
L. N. Kolotova, G. E. Norman, and V. V. Pisarev, Russ. J. Phys. Chem. A 89, 802 (2015).
V. A. Polukhin, E. D. Kurbanova, and N. A. Vatolin, Rasplavy 5, 337 (2017).
H. Jónsson and H. C. Andersen, Phys. Rev. Lett. 60, 2295 (1988).
C. A. Angell, Science (Washington, D.C.) 267, 1924 (1995).
Yu. D. Fomin, V. V. Brazhkin, and V. N. Ryzhov, Phys. Rev. E 86, 011503 (2012).
Yu. D. Fomin, V. N. Ryzhov, and V. V. Brazhkin, J. Phys.: Condens. Matter 25, 285104 (2013).
R. E. Ryltsev, N. M. Chtchelkatchev, and V. N. Ryzhov, Phys. Rev. Lett. 110, 025701 (2013).
P. Badrinarayanan, W. Zheng, Q. Li, and S. L. Simon, J. Non-Cryst. Solids 353, 2603 (2007).
J. W. P. Schmelzer and T. V. Tropin, J. Non-Cryst. Solids 407, 170 (2015).
T. V. Tropin, J. W. Schmelzer, and C. Schick, J. Non-Cryst. Solids 357, 1291 (2011).
D. S. Sanditov, M. V. Darmaev, and A. A. Mashanov, Zh. Fiz. Khim. 91, 870 (2017).
V. Wessels, A. K. Gangopadhyay, K. K. Sahu, et al., Phys. Rev. B 83, 94116 (2011).
M. D. Halls, D. Yoshidome, T. J. Mustard, et al., J. Imaging Soc. Jpn. 54, 561 (2015).
P. N. Patrone, A. Deinstfrey, A. R. Browning, et al., Polymer 87, 246 (2016).
C. Balbuena, C. Brito, and D. A. Stariolo, J. Phys.: Condens. Matter 26, 155104 (2014).
M. S. Daw and M. I. Baskes, Phys. Rev. B 29, 6443 (1984).
X. Liu, W. Xu, S. M. Foiles, and J. B. Adams, Appl. Phys. Lett. 72, 1578 (1998).
D. V. Minakov and P. R. Levashov, Phys. Rev. B 92, 224102 (2015).
S. Plimpton, J. Comp. Phys. 117, 1 (1995).
E. M. Kirova and G. E. Norman, J. Phys.: Conf. Ser. 653, 012106 (2015).
N. D. Kondratyuk, A. V. Lankin, G. E. Norman, et al., J. Phys.: Conf. Ser. 653, 012107 (2015).
V. I. Ladyanov, A. L. Beltyukov, S. G. Menshikova, and A. U. Korepanov, Phys. Chem. Liq. 52, 46 (2014).
Y. Zhang, A. Otani, and E. J. Maginn, J. Chem. Theory Comput. 11, 3537 (2015).
V. V. Pisarev, Russ. J. Phys. Chem. A 88, 1382 (2014).
K. Trachenko and V. V. Brazhkin, J. Phys.: Condens. Matter 21, 425104 (2009).
ACKNOWLEDGMENTS
This work was performed on equipment at the supercomputer center of the Joint Institute for High Temperatures; and at the Joint Supercomputer Center of the Russian Academy of Sciences.
This work was supported by the Program for the Support of Leading Scientific Schools of the Russian Federation, grant no. SS-5922.2018.8.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by N. Saetova
Rights and permissions
About this article
Cite this article
Kirova, E.M., Norman, G.E. & Pisarev, V.V. Viscosity of Aluminum during the Glass Transition Process, According to Molecular Dynamics. Russ. J. Phys. Chem. 92, 1865–1869 (2018). https://doi.org/10.1134/S0036024418100126
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0036024418100126