Abstract
A review is performed of theoretical ways of studying the molecular structure of liquids and amorphous solids, including transitions from one state to another. The literature data show there is no analytical solution to integral equations for partial distribution functions to describe the surface amorphization of a melt. An equation is proposed for analytically solving a system of hard spheres near a solid surface.
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REFERENCES
Nishinaga, T., Handbook of Crystal Growth: Fundamentals, Tokyo: Elsevier, 2014.
Termentzidis, K., Nanostructured Semiconductors: Amorphization and Thermal Properties, Singapore: Jenny Stanford, 2017.
Sarkisov, G.N., Phys.—Usp., 2002, vol. 45, no. 6, p. 597.
Mézard, M. and Parisi, G., J. Phys.: Condens. Matter., 1999, vol. 11, no. 10A, p. A157.
Bomont, J.-M., Hansen, J.-P., and Pastore, G., J. Chem. Phys., 2019, vol. 150, no. 15. 154504.
Bomont, J.-M., Hansen, J.-P., and Pastore, G., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2015, vol. 92, no. 4, 042316.
Bomont, J.-M., Hansen, J.-P., and Pastore, G., J. Chem. Phys., 2014, vol. 141, no. 17, 174505.
Bomont, J.-M., Pastore, G., and Hansen, J.-P., J. Chem. Phys., 2017, vol. 146, no. 11, 114504.
Parisi, G. and Seoane, B., Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys., 2014, vol. 89, no. 2, 022309.
Tsednee, T. and Luchko, T., Phys. Rev. E, 2019, vol. 99, no. 3, 032130.
Rogers, D.M., arXiv:1807.05963, 2018.
Tikhonov, D.A., Kiselyov, O.E., Martynov, G.A., and Sarkisov, G.N., J. Mol. Liq., 1999, vol. 82, nos. 1–2, p. 3.
Agrafonov, Y. and Petrushin, I., Phys. Proc., 2015, vol. 71, p. 364.
Agrafonov, Y. and Petrushin, I., J. Phys.: Conf. Ser., 2016, vol. 747, no. 1, 012024.
Paganini, I.E., Davidchack, R.L., Laird, B.B., and Urrutia, I., J. Chem. Phys., 2018, vol. 149, no. 1, 014704.
Kaneyoshi, T., Int. J. Mod. Phys. B, 2017, vol. 513, p. 87.
Martynov, G.A., Fundamental Theory of Liquids: Method of Distribution Functions, New York: Adam Hilger, 1992, p. 470.
Wertheim, M.S., Phys. Rev. Lett., 1963, vol. 10, no. 8, p. 321.
He, Y., Rice, S.A., and Xu, X., J. Chem. Phys., 2016, vol. 145, no. 23, 234508.
Funding
This work was partially supported by the Ministry of Education and Science of the Russian Federartion as part of State Task no. 3.1941.2017/PCh.
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Translated by A. Tulyabaev
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Agrafonov, Y.V., Petrushin, I.S. Using Molecular Distribution Functions to Calculate the Structural Properties of Amorphous Solids. Bull. Russ. Acad. Sci. Phys. 84, 783–787 (2020). https://doi.org/10.3103/S1062873820070035
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DOI: https://doi.org/10.3103/S1062873820070035