Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 5 2, 2004, Pages

  Galenko, P K ^a   Danilov, D A ^b  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

^b KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; DIFFUSION; HARMONIC ANALYSIS; HEAT TRANSFER; INTERFACES (MATERIALS); MASS TRANSFER; MORPHOLOGY; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

BINARY SYSTEMS; INTERFACE STABILITY; MORPHOLOGICAL STABILITY; SOLID-LIQUID INTERFACES;

SOLIDIFICATION;

EID: 42749100266     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974); A. A. Chernov, in Modern Crystallography, Vol. III, edited by M. Cardona, P. Fulde, and H.-J. Queisser, Springer Series in Solid-State Science Vol. 36 (Springer, Berlin, 1984); T. Vicsek, Fractal Growth Phenomena 2nd ed. (World Scientific, Singapore, 1992).
2. M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974); A. A. Chernov, in Modern Crystallography, Vol. III, edited by M. Cardona, P. Fulde, and H.-J. Queisser, Springer Series in Solid-State Science Vol. 36 (Springer, Berlin, 1984); T. Vicsek, Fractal Growth Phenomena 2nd ed. (World Scientific, Singapore, 1992).
3. M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974); A. A. Chernov, in Modern Crystallography, Vol. III, edited by M. Cardona, P. Fulde, and H.-J. Queisser, Springer Series in Solid-State Science Vol. 36 (Springer, Berlin, 1984); T. Vicsek, Fractal Growth Phenomena 2nd ed. (World Scientific, Singapore, 1992).
4. W. Kurz and D. J. Fisher, Fundamentals of Solidification, 3rd ed. (Trans Tech Publications, Aedermannsdorf, 1992).
5. P. K. Galenko and V. A. Zhuravlev, Physics of Dendrites (World Scientific, Singapore, 1994).
6. W. A. Tiller, K. A. Jackson, J. W. Rutter, and B. Chalmers, Acta Metall, 1, 428 (1953).
7. Science and Technology of the Undercooled Melt, edited by P. R. Sahm, H. Jones, and C. M. Adam (Martinus Nijhoff, Dordrecht, 1986).
8. P. K. Galenko and M. D. Krivilyov, in Fractal Frontiers, edited by M. M. Novak and T. G. Dewey (World Scientific, Singapore, 1997), p. 411.
9. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 34, 323 (1963).
10. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 35, 444 (1964).
11. S. R. Coriell and G. B. McFadden, in Handbook of Crystal Growth, edited by D. T. J. Hurl (Elsevier, Amsterdam, 1993), Vol. 1a, p. 785.
12. S. H. Davis, Theory of Solidification (Cambridge University Press, Cambridge, 2001).
13. R. Trivedi and W. Kurz, Acta Metall. 34, 1663 (1986).
14. W. Kurz, B. Giovanola, and R. Trivedi, Acta Metall. 34, 823 (1986).
15. P. K. Galenko, Kristallografiya 38, 238 (1993) [Crystallogr. Rep. 38, 836 (1993)].
16. P. K. Galenko, Kristallografiya 38, 238 (1993) [Crystallogr. Rep. 38, 836 (1993)].
17. D. M. Herlach, Mater. Sci. Eng., R. 12, 177 (1994).
18. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, New York, 1971).
19. I. Prigogine, Physica (Amsterdam) 15, 272 (1949).
20. P. Galenko and S. Sobolev, Phys. Rev. E 55, 343 (1997).
21. P. K. Galenko and D. A. Danilov, Phys. Lett. A 235, 271 (1997).
22. S. C. Lee, C. C. Hwang, J. Y. Hsieh, and K. Y. Lee, J. Cryst. Growth 200, 305 (1999).
23. B. Cantor, in Science and Technology of the Undercooled Melt (Ref. [5]), p. 3.
24. W. J. Boettinger and S. R. Coriell, in Science and Technology of the Undercooled Melt (Ref. [5]), p. 81.
25. P. K. Galenko, M. D. Krivilyov, V. I. Lad'yanov, and M. V. Osetrov, Application of the Model of Locally Nonequilibrium Solidification to the Process of Structure Formation in Alloys Rapidly Quenched by Spinning, Preprint No. 827 VOO (VINITI, Moscow, 2000).
26. P. K. Galenko and D. A. Danilov, Phys. Lett. A 278, 129 (2000).
27. D. Jou, J. Camacho, and M. Grmela, Macromolecules 24, 3597 (1991).
28. D. Jou, J. Casas-Vazquez, and G. Lebon, Rep. Prog. Phys. 51, 1005 (1988); 62, 1035 (1999).
29. D. Jou, J. Casas-Vazquez, and G. Lebon, Rep. Prog. Phys. 51, 1005 (1988); 62, 1035 (1999).
30. D. Jou, J. Casas-Vazquez, and G. Lebon, Extended Irreversible Thermodynamics, 2nd ed. (Springer, Berlin, 1996).
31. J. Li, G. Yang, and Y. Zhou, Mater. Res. Bull. 35, 1775 (2000).
32. R. F. Sekerka, J. Cryst. Growth 154, 377 (1995).
33. P. K. Galenko and D. A. Danilov, J. Cryst. Growth 197, 992 (1999).
34. P. K. Galenko and D. A. Danilov, Phys. Lett. A 272, 207 (2000).
35. J. S. Langer and H. Müller-Krumbhaar, Acta Metall. 26, 1681 (1978).
36. P. Galenko, Phys. Rev. B 65, 144103 (2002).
37. M. J. Aziz and T. Kaplan, Acta Metall. 36, 2335 (1988).
38. M. J. Aziz, J. Appl. Phys. 53, 1158 (1982).
39. I. S. Miroshnichenko, Quenching From the Liquid State (Metallurgia, Moscow, 1982); K. Eckler, R. F. Cochrane, D. M. Herlach, B. Feuerbacher, and M. Jurisch, Phys. Rev. B 45, 5019 (1992).
40. I. S. Miroshnichenko, Quenching From the Liquid State (Metallurgia, Moscow, 1982); K. Eckler, R. F. Cochrane, D. M. Herlach, B. Feuerbacher, and M. Jurisch, Phys. Rev. B 45, 5019 (1992).
41. C. J. Cook and P. Clancy, J. Chem. Phys. 99, 2175 (1993).
42. S. L. Sobolev, Phys. Status Solidi A 156, 293 (1996).
43. J. C. Baker and J. W. Cahn, in Solidification, edited by T. J. Hughel and G. F. Boiling (American Society of Metals, Metals Park, OH, 1971), p. 23
44. M. J. Aziz and W. J. Boettinger, Acta Metall. Mater. 42, 527 (1994).
45. P. K. Galenko, Mater. Sci. Eng., A (to be published)
46. M. Gremaud, M. Carrard, and W. Kurz, Acta Metall. Mater. 38, 2587 (1990).
47. D. E. Hoglund and M. J. Aziz, in Kinetics of Phase Transformations, edited by M. O. Thompson, M. J. Aziz, and G. B. Stephenson, MRS Symposia Proceedings No. 205 (Materials Research Society, Pittsburgh, 1991), p. 325.