Fractal-like structures in the self-similar crystallization with a two-phase zone

Journal of Optoelectronics and Advanced Materials

Volumn 5, Issue 3, 2003, Pages 635-640

  Alexandrov, D V ^a   Bulitcheva, S V ^a   Komarovski, M E ^a   Malygin, A P ^a  

^a URAL FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Crystal growth; Fractal; Self similar crystallization

Indexed keywords

CRYSTAL GROWTH; FRACTALS; FUNCTIONS; PARAMETER ESTIMATION; PHASE DIAGRAMS; SOLIDIFICATION; THERMODYNAMICS;

SPATIAL CORODINATES; TWO-PHASE ZONES;

CRYSTALLIZATION;

EID: 0348224937     PISSN: 14544164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (18)

1. R. A. Laudise, The Growth of Single Crystals, Prentice Hall, New York (1972).
2. J. C. Brice, The Growth of Crystals from Liquid, North Holland, Amsterdam (1973).
3. F. Rosenberg Fundamentals of Crystal Growth, Vol. 1, Springer, Berlin (1979).
4. P. V. Hobbs, Ice Physics, Clarendon, Oxford, (1974).
5. B. Chalmers, Principles of Solidification, Wiley, New York (1964).
6. E. Morales-Sánchez, J. González-Hernández, E. Prokhorov, J. Optoelectron. Adv. Mater. 3(2), 333 (2001).
7. J. S. Langer, Rev. Mod. Phys. 52, 1 (1980).
8. R. N. Hills, D. E. Loper, P. H. Roberts, Q. J. Appl. Math. 36, 505 (1983).
9. D. V. Alexandrov, J. Crystal Growth 222, 816 (2001).
10. D. V. Alexandrov, Acta Mater. 49, 759 (2001).
11. D. V. Alexandrov, A. G. Churbanov, P. N. Vabishchevich, Int. J. Fluid Mech. Res. 26, 248 (1999).
12. D. V. Alexandrov, Int. J. Fluid Mech. Res. 27, 223 (2000).
13. H. E. Huppert, M. G. Worster, Nature 314, 703 (1985).
14. M. G. Worster, J. Fluid Mech. 167, 481 (1986).
15. J. Feder, Fractals, Plenum Press, New York (1988).
16. B. B. Mandelbrot, Fractal Geometry of Nature, Freeman, New York (1982).
17. D. V. Alexandrov, A. O. Ivanov, Doklady Physics 47 (7), 499 (2002).
18. K. Nagashima, Y. Furukawa, J. Crystal Growth 209, 167 (2000).