Self-similarity in the kinetic growth regime of a crystal in a phase-separating medium / Martyushev L.M., Seleznev V.D. // Technical Physics Letters. - 1999. - V. 25, l. 10. - P. 833-835.

ISSN:

10637850

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Article

Abstract:

An analysis is made of a simple model of the kinetic growth regime of a crystal possessing cubic symmetry in a phase-separating medium. Impurity diffusion is neglected. It is shown that in this approximation the crystal growth is self-similar. A cellular automaton model is used to represent the successive stages of structural modification as the impurity concentration increases. © 1999 American Institute of Physics.

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033245018&partnerID=40&md5=2441a8d4c5e73d433536becc19d4fa8c
Affiliations	Institute of Industrial Ecology, Russian Academy of Sciences, Ekaterinburg, Russian Federation
References	Bakli, G., (1958) Crystal Growth, , IL, Moscow; Taran, Yu.N., Mazur, V.I., Structure of Eutectic Alloys (1978) Metallurgiya, Moscow, , 313 pp; (1980) Modern Crystallography, Vol. 3, Crystal Formation, 3. , Nauka, Moscow 407 pp; Mints, R.I., Skopinov, S.A., (1992) Zh. Fiz. Khim., 66, p. 352; Shu-Zu, L., Hunt, J.D., (1994) Acta Metall. Mater., 42, p. 1653; McCarthy, J.F., (1997) Acta Mater., 45, p. 4077; Witten, T.A., Sander, L.M., (1983) Phys. Rev. B, 27, p. 5686; Barenblatt, G.I., (1979) Similarity, Self-Similarity, and Intermediate Asymptotics, , Consultants Bureau, New York, Gidrometeoizdat, Leningrad 220 pp; Feder, E., (1988) Fractals, , Plenum Press, New York, Nauka, Moscow, 260 pp; Scriven, L.E., (1939) Chem. Eng. Sci., 10 (1), p. 1; Trivedi, R., (1994) Mater. Sci. Eng., 178 A, p. 129; Martyushev, L.M., Seleznev, V.D., (1996) Pis'ma Zh. Tekh. Fiz., 22 (16), p. 12; (1996) Tech. Phys. Lett., 22, p. 648; Martiouchev, L.M., Seleznev, V.D., (1998) J. Stat. Phys., 90, p. 1413; Halden, N.M., Hawthorne, F.C., (1993) Am. Mineral., 78, p. 1113; Holten, T., Jamtveit, B., Meakin, P., (1997) Am. Mineral., 82, p. 596
Correspondence Address	Martyushev, L.M.; Institute of Industrial Ecology, Russian Academy of Sciences, Ekaterinburg, Russian Federation
Language of Original Document	English
Abbreviated Source Title	Tech. Phys. Lett.
Source	Scopus