Kinetics of particle coarsening with allowance for Ostwald ripening and coagulation / Alexandrov D.V. // Journal of Physics Condensed Matter. - 2016. - V. 28, l. 3.

ISSN:
09538984
Type:
Article
Abstract:
The evolution of particle coarsening due to a combined effect of Ostwald ripening and coagulation at the concluding stage of phase transition processes in metastable media is considered. A complete analytical solution of integro-differential equations with a memory kernel is found in special self-similar variables for supersaturated solutions and supercooled liquids. It is shown that the particle distribution function becomes narrower and bell-shaped when decreasing the metastability level. The analytical solutions obtained are in good agreement with experimental data. © 2016 IOP Publishing Ltd.
Author keywords:
crystal growth; kinetics; Ostwald ripening
Index keywords:
Coagulation; Crystal growth; Differential equations; Distribution functions; Enzyme kinetics; Growth kinetics; Integrodifferential equations; Supercooling; Combined effect; Memory kernels; Metastabili
DOI:
10.1088/0953-8984/28/3/035102
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84953790200&doi=10.1088%2f0953-8984%2f28%2f3%2f035102&partnerID=40&md5=c247f27ca7897c69c075556f89c0833f
Соавторы в МНС:
Другие поля
Поле Значение
Art. No. 035102
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84953790200&doi=10.1088%2f0953-8984%2f28%2f3%2f035102&partnerID=40&md5=c247f27ca7897c69c075556f89c0833f
Affiliations Department of Mathematical Physics, Ural Federal University, Lenin ave. 51, Ekaterinburg, Russian Federation
Author Keywords crystal growth; kinetics; Ostwald ripening
References Zettlemoyer, A.C., (1969) Nucleation, , (New York: Dekker); Detzik, V.N., Kukushkin, S.A., Osipov, A.V., Kaptelov, E.Y., Pronin, I.P., (1998) J. Cryst. Growth, 187, p. 474; Alexandrov, D.V., (2014) Phys. Lett., 378, p. 1501; Alexandrov, D.V., (2014) Phil. Mag. Lett., 94, p. 786; Rubinstein, I., Zaltzman, B., (2000) Phys. Rev., 61, p. 709; Burlakov, V.M., (2006) Phys. Rev. Lett., 97; Slezov, V.V., (2009) Kinetics of First-Order Phase Transitions, , (Weinheim: Wiley); Shneidman, V.A., (2013) Phys. Rev., 88; Enomoto, Y., Kawasaki, K., Tokuyama, M., (1987) Acta Metall., 35, p. 907; Enomoto, Y., Okada, A., (1990) J. Phys.: Condens. Matter, 2 (19), p. 4531; Lifshitz, I.M., Slyozov, V.V., (1961) J. Phys. Chem. Solids, 19, p. 35; Lifshitz, E.M., Pitaevskii, L.P., (1981) Physical Kinetics, , (Oxford: Pergamon); Ratke, L., Voorhees, P., (2002) Growth and Coarsening: Ostwald Ripening in Material Processing, , (New York: Springer); Balluffi, R.W., Allen, S.M., Carter, W.C., (2005) Kinetics of Materials, , (Hoboken, NJ: Wiley); Marder, M., (1987) Phys. Rev., 36, p. 858; De Smet, Y., Danino, D., Deriemaeker, L., Talmon, Y., Finsy, R., (2000) Langmuir, 16, p. 961; Margusee, J.A., Ross, J., (1984) J. Chem. Phys., 80, p. 536; Wan, G., Sahm, P.R., (1990) Acta Metall. Mater., 38, p. 2367; Goudon, T., Lagoutière, F., Tine, L.M., (2013) Math. Models Methods Appl. Sci., 23, p. 1177; Alyab'Eva, A.V., Buyevich, Y.A., Mansurov, V.V., (1994) J. Phys. II, 4, p. 951; Lécot, C., Wagner, W., (2004) Math. Comput., 73, p. 1953; Jacobson, M.Z., (2011) J. Atmos. Sci., 68 (2), p. 334; Alfonso, L., (2015) Atmos. Chem. Phys. Discuss., 15, p. 12213; Pilinis, C., Seinfeld, J., (1987) J. Colloid Interface Sci., 115, p. 472; McCoy, B.J., Madras, G., (2003) Chem. Eng. Sci., 58, p. 3049; Lovejoy, S., Gaonach, H., Schertzer, D., (2004) J. Geophys. Res., 109; Herrmann, M., Laurençot, P., Niethammer, B., (2009) C. R. Acad. Sci., Paris, 347, p. 909; Slezov, V.V., (1983) J. Phys. Chem. Solids, 44, p. 13; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , (New York: Begell House); Schilling, T., Frenkel, D., (2005) Comput. Phys. Commun., 169, p. 117; Slezov, V.V., (1978) J. Phys. Chem. Solids, 39, p. 367; Alexandrov, D.V., (2015) J. Phys. A: Math. Theor., 48; Alyab'Eva, A.V., Mansurov, V.V., (1992) Colloid J., 54, p. 3
Correspondence Address Alexandrov, D.V.; Department of Mathematical Physics, Ural Federal University, Lenin ave. 51, Russian Federation; email: dmitri.alexandrov@urfu.ru
Publisher Institute of Physics Publishing
CODEN JCOME
Language of Original Document English
Abbreviated Source Title J Phys Condens Matter
Source Scopus