Abstract
The atomic dynamics of the binary Al100–x Cu x system is simulated at a temperature T = 973 K, a pressure p = 1.0 bar, and various copper concentrations x. These conditions (temperature, pressure) make it possible to cover the equilibrium liquid Al100–x Cu x phase at copper concentrations 0 ≤ x ≤ 40% and the supercooled melt in the concentration range 40% ≤ x ≤ 100%. The calculated spectral densities of the time correlation functions of the longitudinal \({\tilde C_L}\)(k, ω) and transverse \({\tilde C_T}\)(k, ω) currents in the Al100–x Cu x melt at a temperature T = 973 K reveal propagating collective excitations of longitudinal and transverse polarizations in a wide wavenumber range. It is shown that the maximum sound velocity in the v L (x) concentration dependence takes place for the equilibrium melt at an atomic copper concentration x = 10 ± 5%, whereas the supercooled Al100–x Cu x melt saturated with copper atoms (x ≥ 40%) is characterized by the minimum sound velocity. In the case of the supercooled melt, the concentration dependence of the kinematic viscosity ν(x) is found to be interpolated by a linear dependence, and a deviation from the linear dependence is observed in the case of equilibrium melt at x < 40%. An insignificant shoulder in the ν(x) dependence is observed at low copper concentrations (x < 20%), and it is supported by the experimental data. This shoulder is caused by the specific features in the concentration dependence of the density ρ(x).
Similar content being viewed by others
References
N. H. March, Liquid Metals: Concepts and Theory (Cambridge Univ. Press, Cambridge, 1990).
R. Hultgren, Selected Values of the Thermodynamic Properties of Binary Alloys (Amer. Soc. Metals, Metals Park, Ohio, 1973).
A. T. Dinsdale and P. N. Quested, J. Mater. Sci. 39, 7221 (2004).
The 140th Committee of Japan Society for Promotion of Science: Handbook of Physico-Chemical Properties at High Temperature, Ed. by Y. Kawai and Y. Shirai-shi (ISIJ, Tokyo, 1988).
R. M. Khusnutdinov and A. V. Mokshin, Bull. Russ. Acad. Sci.: Phys. 74, 640 (2010).
Y. He, S. J. Poon, and G. J. Shiflet, Science 241, 1640 (1988).
A. P. Tsai, A. Inoue, and T. Masumoto, J. Mater. Sci. Lett. 7, 805 (1988).
V. V. Brazhkin, Phys. Usp. 49, 719 (2006).
M. Sun and X. Bian, Mater. Lett. 56, 620 (2002).
W. R. D. Jones and W. L. Bartlett, J. Inst. Metals 83, 59 (1954).
K. I. Eretnov and A. P. Lyubimov, Izv. Vyssh. Uchebn. Zaved., Tsvet. Metall. 1, 119 (1966).
M. Schick, J. Brillo, I. Egry, and B. Hallstedt, J. Mater. Sci. 47, 8145 (2012).
N. Yu. Konstantinova, P. S. Popel’, and D. A. Yagodin, High Temp. 47, 336 (2009).
A. V. Mokshin, A. V. Chvanova, and R. M. Khusnutdinov, Theor. Math. Phys. 171, 541 (2012).
V. T. Witusiewicz, U. Hecht, S. G. Fries, and S. Rex, J. Alloys Comp. 385, 133 (2004).
C. W. Bale, P. Chartrand, S. A. Degterov, et al., CALPHAD 26, 189 (2002). http://www.crct.polymtl.ca/fact/download.php
J. Cai and Y. Y. Ye, Phys. Rev. B 54, 8398 (1996).
D. K. Belashchenko, Phys. Usp. 56, 1176 (2013).
R. M. Khusnutdinoff, A. V. Mokshin, and I. I. Khadeev, J. Phys.: Conf. Ser. 394, 012012 (2012).
A. L. Bel’tyukov and V. I. Lad’yanov, Instrum. Exp. Tech. 51, 304 (2008).
O. Yu. Goncharov, N. V. Olyanina, A. L. Bel’tyukov, and V. I. Lad’yanov, Russ. J. Phys. Chem. A 89, 857 (2015).
E. G. Shvidkovskii, Some Questions of the Viscosity of Fused Metals (Gostekhizdat, Moscow, 1955) [in Russian].
A. L. Bel’tyukov, S. G. Men’shikova, and V. I. Lad’yanov, High Temp. 53, 491 (2015).
R. M. Khusnutdinov, A. V. Mokshin, and I. I. Khadeev, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 8, 84 (2014).
J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, New York, 2006).
A. V. Mokshin, R. M. Yulmetyev, R. M. Khusnutdinov, and P. Hanggi, J. Exp. Theor. Phys. 103, 841 (2006).
Y. Waseda, The Structure of Non-Crystalline Materials: Liquids and Amorphous Solids (McGraw-Hill, New York, 1980).
T. M. Truskett, S. Torquato, and P. G. Debenedetti, Phys. Rev. E 62, 993 (2000).
R. M. Khusnutdinov, A. V. Mokshin, and R. M. Yulmetyev, J. Exp. Theor. Phys. 108, 417 (2009).
W. Montfrooij and I. de Schepper, Excitations in Simple Liquids, Liquid Metals and Superfluids (Oxford Univ. Press, New York, 2010).
R. M. Khusnutdinov and A. V. Mokshin, JETP Lett. 100, 39 (2014).
R. M. Khusnutdinov, A. V. Mokshin, and I. D. Takhaviev, Phys. Solid State 57, 412 (2015).
A. V. Mokshin, R. M. Khusnutdinov, A. G. Novikov, N. M. Blagoveshchenskii, and A. V. Puchkov, J. Exp. Theor. Phys. 121, 828 (2015).
D. Pines, Elementary Excitations in Solids (W. A. Benjamin, New York, 1963).
U. Balucani and M. Zoppi, Dynamics of the Liquid State (Clarendon, Oxford, 1994).
A. V. Mokshin, R. M. Yulmetyev, R. M. Khusnutdinoff, and P. Hänggi, J. Phys.: Condens. Matter 19, 046209 (2007).
T. Gaskell, U. Balucani, M. Gori, and R. Vallauri, Phys. Scripta 35, 37 (1987).
V. I. Lad’yanov, A. L. Bel’tyukov, S. G. Menshikova, and A. U. Korepanov, Phys. Chem. Liquids 52, 46 (2014).
A. L. Bel’tyukov, S. G. Menshikova, and V. I. Lad’yanov, J. Non-Cryst. Solids 410, 1 (2015).
W. E. Alley and B. J. Alder, Phys. Rev. A 27, 3158 (1983).
J. Brillo, I. Egry, and J. Westphal, Int. J. Mater. Res. 99, 162 (2008).
Y. Plevachuk, V. Sklyarchuk, A. Yakymovych, et al., Metal. Mater. Trans. A 39, 3040 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © R.M. Khusnutdinoff, A.V. Mokshin, S.G. Menshikova, A.L. Beltyukov, V.I. Ladyanov, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 149, No. 5, pp. 994–1004.
Rights and permissions
About this article
Cite this article
Khusnutdinoff, R.M., Mokshin, A.V., Menshikova, S.G. et al. Viscous and acoustic properties of AlCu melts. J. Exp. Theor. Phys. 122, 859–868 (2016). https://doi.org/10.1134/S1063776116040166
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116040166