Weakly nonlinear analysis of the morphological stability of a two-dimensional cylindrical crystal

Journal of Experimental and Theoretical Physics

Volumn 98, Issue 5, 2004, Pages 986-996

  Martyushev, L M ^a   Sal'nikova, E M ^a   Chervontseva, E A ^a  

^a INSTITUTE OF INDUSTRIAL ECOLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL GROWTH; FUNCTIONS; PERTURBATION TECHNIQUES; STABILITY;

CRITICAL RADIUS; LINEAR THEORY; MORPHOLOGICAL STABILITY; NONLINEAR ANALYSIS;

CRYSTALLINE MATERIALS;

EID: 21144452085     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1767566     Document Type: Article

References (25)

1. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 34, 323 (1963).
2. S. R. Coriell and G. B. McFadden, in Handbook of Crystal Growth, Ed. by D. T. J. Hurle (North-Holland, Amsterdam, 1993), Vol. 1, Part B, p. 785.
3. S. C. Hardy and S. R. Coriell, J. Cryst. Growth 5, 329 (1969).
4. P. Oswald, J. Malthete, and P. Pelce, J. Phys. (Paris) 50, 221 (1989).
5. D. E. Ovsienko, G. A. Alfintsev, G. P. Chemerinskiǐ, et al., Kristallografiya 21, 801 (1976)
6. [Sov. Phys. Crystallogr. 21, 454 (1976)].
7. A. A. Shibkov, Yu. I. Golovin, M. A. Zheltov, et al., Kristallografiya 46, 549 (2001)
8. [Crystallogr. Rep. 46, 496 (2001)].
9. O. Shochet and E. Ben-Jacob, Phys. Rev. E 48, 4168 (1993).
10. Y. Sawada, B. Perrin, P. labeling, et al., Phys. Rev. A 43, 5537 (1991).
11. E. Ben-Jacob and P. Garik, Nature 343, 523 (1990).
12. Y. Sawada, J. Stat. Phys. 34, 1039 (1984).
13. L. M. Martyushev, V. D. Seleznev, and I. E. Kuznetsova, Zh. Éksp. Teor. Fiz. 118, 149 (2000)
14. [JETP 91, 132 (2000)].
15. L. M. Martyushev, I. E. Kuznetsova, and V. D. Seleznev, Zh. Éksp. Teor. Fiz. 121, 363 (2002)
16. [JETP 94, 307 (2002)].
17. L. M. Martyushev and E. M. Sal'nikova, Pis'ma Zh. Tekh. Fiz. 28 (6), 57 (2002)
18. [Tech. Phys. Lett. 28, 242 (2002)].
19. L. N. Brush, R. F. Sekerka, and G. B. McFadden, J. Cryst. Growth 100, 89 (1990).
20. P. P. Debroy and R. F. Sekerka, Phys. Rev. E 51, 4608 (1995).
21. P. P. Debroy and R. F. Sekerka, Phys. Rev. E 53, 6244 (1996).
22. S. R. Coriell and R. L. Parker, J. Appl. Phys. 36, 632 (1965).
23. S. R. Coriell and S. C. Hardy, J. Res. Natl. Bur. Stand., Sect. A 73, 65 (1969).
24. A. D. Polyanin, Handbook on Linear Equations of Mathematical Physics (Fizmatlit, Moscow, 2001).
25. A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981; Mir, Moscow, 1984).