Abstract
Two-dimensional nonequilibrium growth of crystals (quasistable faceted and dendritic) in the presence of a phase separating impurity is studied by computer simulation. It is shown that there is a gradual modification in this system from quasistable faceted growth to the formation of dendrites when the impurity concentration increases. If there is dendritic growth in the presence of a phase-separating impurity, the cyclic changes in the morphology, expressed through the periodic occurrence of tertiary branches of a dendrite, are observed when the phase-separating impurity concentration is raised. This behavior of the morphology is considered as a reentrant nonequilibrium phase transition.
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REFERENCES
H. Haken, Synergetics(Springer-Verlag, Berlin, 1978).
P. Glandsorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations(Wiley, New York, 1971).
J. Feder, Fractals(Plenum Press, New York, 1988).
J. S. Langer, Instabilities and pattern formation in crystal growth, Rev. Mod. Phys. 52:1 (1980).
A. Sole, Stagoskopie(Franz Deuticke, Vienna, 1960).
L. M. Martyushev, V. D. Seleznev, and S. A. Skopinov, Tech. Phys. Lett. 22:648 (1996).
P. K. Galenko and V. A. Zhuravlev, Physics of Dendrites(World Scientific, Singapore, 1994); R. Sasikumar and R. Sreenivasan, Acta Metall. Mater. 42:2381 (1994); Shu-Zu Lu, J. D. Hung, P. Gilgien, and W. Kurz, Acta Metall. Mater. 42:1653 (1994).
S. G. R. Brown, T. Williams, and J. A. Spittle, Acta Metall. Mater. 42:2893 (1994); D. B. Berg, S. A. Skopinov, et al., Izv. Akad. Nauk. SSSR Ser. Fiz. 55:175 (1991).
L. M. Martyushev, V. D. Seleznev, and S. A. Skopinov, Tech. Phys. Lett. 22:146 (1996); L. M. Martiouchev, V. D. Seleznev, and S. A. Skopinov, Crystallogr. Rep. 42:735 (1997).
A. A. Chernov, Modern Crystallography III: Crystal Growth(Springer-Verlag, Berlin, 1984).
D. D. Saratovkin, Dendritic Crystallization(Metallurgizdat, Moscow, 1957).
W. N. Izmailova and P. A. Rehbinder, The Formation of Structures in Protein Systems(Nauka, Moscow, 1974).
G. H. Brown and J. J. Wolken, Liquid Crystals and Biological Structures(Academic Press, New York, 1979).
R. I. Mints, S. A. Skopinov, et al., Russ. J. Phys. Chem. 66:183 (1992); R. I. Mints and D. B. Berg, Russ. J. Phys. Chem. 69:48 (1995) [in Russian]; R. I. Mints and D. B. Berg, In Surface Phenomena, SPIE Proceedings, Vol. 2731, p. 74; R. I. Mints, S. A. Skopinov, S. V. Yakovleva, et al., Studia Biophys. 133:221 (1989); M. Yasui and M. Matsushita, J. Phys. Soc. Jpn. 61:2327 (1992).
R. I. Mints, S. A. Skopinov, and S. V. Yakovleva, Tech. Phys. Lett. 14:12 (1988).
K. Shinoda, T. Nakogawa, B. Tamamushi, et al., Colloidal Surfactants. Some Physicochemical Properties(Academic Press, New York, 1963); W. N. Izmailova, G. P. Jampolskaia, and B. D. Summ, Surface Phenomena in Protein Systems(Chemistry, Moscow, 1988).
B. Chalmers, Principles of Solidification(Wiley, New York, 1964).
S.-C. Huang and M. E. Glicksman, Acta Metall. 29:717 (1981).
P. E. Cladis, Phys. Rev. Lett. 35:48 (1975); P. E. Cladis, R. K. Bogardus, and D. Aadsen, Phys. Rev. A 18:2292 (1978).
P. E. Cladis, Mol. Cryst. Liquid Cryst. 67:177 (1981).
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Martiouchev, L.M., Seleznev, V.D. & Skopinov, S.A. Computer Simulation of Nonequilibrium Growth of Crystals in a Two-Dimensional Medium with a Phase-Separating Impurity. Journal of Statistical Physics 90, 1413–1427 (1998). https://doi.org/10.1023/A:1023295815199
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DOI: https://doi.org/10.1023/A:1023295815199