Nonlinear response of layer growth dynamics in the mixed kinetics-bulk-transport regime

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 6, 1996, Pages 6650-6660

  Vekilov, Peter G ^a   Alexander, J Iwan D ^a   Rosenberger, Franz ^a  

^a UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000201014     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.6650     Document Type: Article

References (85)

1. F. Rosenberger, Fundamentals of Crystal Growth, Vol. I: Macroscopic Equilibrium and Transport Concepts (Springer, Berlin, 1979) p. 450
2. C S. Haase, J. Chadam, D. Feinn, and P. Ortoleva, Science209, 272 (1980) SCIEAS
3. P J. Ortoleva, Geochemical Self-Organization (Oxford University Press, Oxford, 1994)
4. C. J. Allègre, A. Provost, and C. Jaupart, Nature294, 223 (1981) NATUAS
5. H U. Walter, J. Electrochem. Soc.123, 1098 (1976) JESOAN
6. J J. Favier, J. Electrochem. Soc.129, 2355 (1982) JESOAN
7. M. Koper, Far-From-Equilibrium Phenomena in Electrochemical Systems, Instabilities, Oscillations and Chaos (University of Utrecht Press, Utrecht, The Netherlands, 1994)
8. M. Piechotka, J. Cryst. Growth146, 1 (1995) JCRGAE
9. B. Yu. Shekunov, L N. Rashkovich, and I. L. Smol'skii, J. Cryst. Growth116, 340 (1992) JCRGAE
10. K. Onuma, T. Kameyama, and K. Tsukamoto, J. Cryst. Growth137, 610 (1994) JCRGAE
11. J. M. Garcia-Ruiz, A. Santos, and E J. Alfaro, J. Cryst. Growth84, 555 (1996) JCRGAE
12. R I. Ristic, B. Shekunov, and J N. Sherwood, J. Cryst. Growth160, 330 (1996) JCRGAE
13. P G. Vekilov, L A. Monaco, and F. Rosenberger, J. Cryst. Growth148, 289 (1995) JCRGAE
14. B. Caroli, C. Caroli, and B. Roulet, J. Phys. (Paris)44, 945 (1983) JOPQAG
15. S R. Corriel and R F. Sekerka, J. Cryst. Growth61, 499 (1983) JCRGAE
16. S. Harris, J. Cryst. Growth135, 354 (1994) JCRGAE
17. R M. Noyes and R J. Fields, Ann. Rev. Phys. Chem.25, 95 (1974) ARPLAP
18. F. Argoul, A. Arneodo, P. Richeti, and J C. Roux, J. Chem. Phys.86, 3325 (1987) JCPSA6
19. F. ArgoulA. ArneodoP. RichetiJ C. RouxJ. Chem. Phys.86, 3339 (1987) JCPSA6
20. P. Gray and S K. Scott, Chemical Oscillation and Instabilities. Non-linear Chemical Kinetics (Clarendon, Oxford, 1990)
21. I. Sunagawa and P. Bennema, in Preparation and Analysis of Solid State Materials, edited by W. R. Wilcox (Marcel Decker, New York, 1982), Vol. 7, p. 1
22. I. Sunagawa, in Materials Science of the Earth's Interior, edited by I. Sunagawa (Terra, Tokyo, 1984), pp. 303 and 323
23. I. Sunagawa and P. Bennema, J. Cryst. Growth46, 451 (1979) JCRGAE
24. C. van Leeuven, R. van Rosmalen, and P. Bennema, Surf. Sci.44, 213 (1974) SUSCAS
25. M. Uwaha, Y. Saito, and M. Sato, J. Cryst. Growth146, 164 (1995) JCRGAE
26. Y. Saito and M. Uwaha, Phys. Rev. B51, 11 172 (1995) PRBMDO
27. R L. Schwoebel and E J. Shipsey, J. Appl. Phys.37, 3682 (1966) JAPIAU
28. A A. Chernov and T. Nishinaga, in Morphology of Crystals, edited by I. Sunagawa (Terra, Tokyo, 1987), p. 207
29. V G. Levich, Physicochemical Hydrodynamics (Prentice Hall, Englewood Cliffs, NJ, 1962)
30. A A. Chernov, Usp. Fiz. Nauk.73, 277(1961) UFNAAG
31. [Sov. Phys. Usp.4, 116 (1961)]SOPUAP
32. A A. Chernov, Modern Crystallography, Vol. III: Growth of Crystals (Springer, Berlin, 1984), p. 246
33. L N. Rashkovich and B. Yu. Shekunov, J. Cryst. Growth100, 133 (1990) JCRGAE
34. A A. Chernov, Yu. G. Kuznetsov, I. L. Smol'skii, and V N. Rozhanskii, Kristallografiya31, 1193 (1986) KRISAJ
35. [Sov. Phys. Crystallogr.31, 705 (1986)]SPHCA6
36. A A. Chernov, J. Cryst. Growth118, 333 (1992) JCRGAE
37. A A. Chernov, S R. Corriel, and B T. Murray, J. Cryst. Growth132, 405 (1993) JCRGAE
38. S. Yu. Potapenko, J. Cryst. Growth147, 223 (1995) JCRGAE
39. S. Yu. Potapenko, J. Cryst. Growth158, 346 (1995) JCRGAE
40. H D. Yoo, W R. Wilcox, R B. Lal, and J D. Trolinger, J. Cryst. Growth92, 101 (1988) JCRGAE
41. P G. Vekilov, Yu. G. Kuznetsov, and A A. Chernov, J. Cryst. Growth121, 643 (1992) JCRGAE
42. P G. Vekilov, Yu. G. Kuznetsov, and A A. Chernov, J. Cryst. Growth121, 44 (1992) JCRGAE
43. P G. Vekilov and F. Rosenberger, J. Cryst. Growth158, 540 (1996) JCRGAE
44. P G. Vekilov, M. Ataka, and T. Katsura, Acta Crystallogr. D51, 207 (1995)
45. H. Lin, F. Rosenberger, J. I. D. Alexander, and A. Nadarajah, J. Cryst. Growth151, 153 (1995) JCRGAE
46. M. Pusey, W. Witherow, and R. Naumann, J. Cryst. Growth90, 105 (1988) JCRGAE
47. M. Muschol and F. Rosenberger, J. Chem. Phys.103, 10 424 (1995) JCPSA6
48. K. Onuma, K. Tsukamoto, and I. Sunagawa, J. Cryst. Growth89, 177 (1988) JCRGAE
49. F. Rosenberger, P G. Vekilov, M. Muschol, and B R. Thomas, J. Cryst. Growth168, 1 (1996) JCRGAE
50. F. Rosenberger, S B. Howard, J W. Sowers, and T A. Nyce, J. Cryst. Growth129, 1 (1993) JCRGAE
51. L A. Monaco and F. Rosenberger, J. Cryst. Growth129, 465 (1993) JCRGAE
52. B R. Thomas, P G. Vekilov, and F. Rosenberger, Acta Crystallogr. D52, 776 (1996)
53. P G. Vekilov, L A. Monaco, and F. Rosenberger, J. Cryst. Growth156, 267 (1995) JCRGAE
54. H. Lin, P G. Vekilov, and F. Rosenberger, J. Cryst. Growth158, 552 (1996) JCRGAE
55. W K. Burton, N. Cabrera, and F C. Frank, Philos. Trans. R. Soc. London Ser. A243, 299 (1951) PTRMAD
56. P G. Vekilov and Yu. G. Kuznetsov, J. Cryst. Growth119, 248 (1992) JCRGAE
57. A. Seeger, Philos. Mag.44, 348 (1953) PHMAA4
58. W R. Wilcox, J. Cryst. Growth37, 229 (1977) JCRGAE
59. W R. Wilcox, J. Cryst. Growth38, 73 (1977) JCRGAE
60. W R. Wilcox, J. Cryst. Growth65, 133 (1983) JCRGAE
61. J. J. De Yoreo, T A. Land, and B. Dair, Phys. Rev. Lett.73, 838 (1994) PRLTAO
62. P G. Vekilov, H. Lin, and F. Rosenberger, Phys. Rev. E (to be published) PLEEE8
63. P G. Vekilov, L A. Monaco, B R. Thomas, V. Stojanoff, and F. Rosenberger, Acta Crystallogr. D52, 785 (1996)
64. A A. Chernov and H. Komatsu, in Science and Technology of Crystal Growth, edited by J. P. van der Eerden and O. S. L. Bruinsma (Kluwer, Amsterdam, 1995), p. 329
65. J. P. van der Eerden and H. Müller-Krumbhaar, Electrochim. Acta31, 1007 (1986) ELCAAV
66. J. P. van der Eerden and H. Müller-Krumbhaar, Phys. Rev. Lett.57, 2431 (1986) PRLTAO
67. K. Onuma, K. Tsukamoto, and I. Sunagawa, J. Cryst. Growth98, 384 (1989) JCRGAE
68. F. Rosenberger, Fundamentals of Crystal Growth, Vol. I: Macroscopic Equilibrium and Transport Concepts [Ref. [1]], p. 380
69. L J. DeLucas, J. Cryst. Growth135, 183 (1994) JCRGAE
70. R. Hilgenfeld, A. Liesum, R. Storm, and A. Plaas-Link, J. Cryst. Growth122, 330 (1992) JCRGAE
71. A A. Chernov, Kristallografiya16, 842 (1971) KRISAJ
72. [Sov. Phys. Crystallogr.16, 734 (1972)]SPHCA6
73. W R. Wilcox, in Preparation and Properties of Solid State Materials, Vol. I: Aspects of Crystal Growth, edited by R. E. Lefever (Marcel Dekker, New York, 1971) p. 37
74. A. McPherson, A J. Malkin, and Yu. G. Kuznetsov, Structure3, 759 (1995)
75. A J. Malkin, Yu. G. Kuznetsov, W. Glantz, and A. McPherson, J. Phys. Chem.100, 11 736 (1996) JPCHAX
76. W. Kadima, A. McPherson, M F. Dunn, and F. Jurnak, Biophys. J.57, 125 (1990) BIOJAU
77. A J. Malkin and A. McPherson, J. Cryst. Growth126, 555 (1993) JCRGAE
78. M C. Vaney, S. Maigan, M. Riès-Kautt, and A. Ducruix, Acta Crystallogr. Sect. D52, 505 (1996)
79. A J. Malkin and A. McPherson (private communication)
80. Alexander McPherson, in Proceedings of the VIIIth European Symposium on Materials and Fluid Science in Microgravity, edited by J. C. Legros (University of Brussels, Brussels, 1992), Vol. 2, p. 619
81. A. McPherson, J. Phys. D26, 104 (1993) JPAPBE
82. S. Miyashita, H. Komatsu, and Y. Suzuki, Jpn. J. Appl. Phys.32, 1855 (1993) JJAPA5
83. S. Miyashita, H. Komatsu, Y. Suzuki, and T. Nakada, J. Cryst. Growth141, 419 (1994) JCRGAE
84. E H. Snell, S. Weisgerber, J R. Helliwell, F. Weckert, K. Hölzer, and R. Schroer, Acta Crystallogr. D51, 1099 (1995)
85. Yu. G. Kuznetsov and P G. Vekilov (unpublished)