Evolution of cellular structures during Ge1-x Six single-crystal growth by means of a modified phase-field method

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

Volumn 81, Issue 5, 2010, Pages

  Miller, W ^a   Rasin, I ^b   Stock, D ^c  

^a LEIBNIZ INSTITUTE FOR CRYSTAL GROWTH   (Germany)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c BIOMATERIALS DEPARTMENT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR GROWTH; CELLULAR STRUCTURE; CLASSICAL MOLECULAR DYNAMICS; COMPUTING EQUILIBRIA; DENDRITIC GROWTH; DIFFUSION COEFFICIENTS; MATERIAL PARAMETER; PHASE FIELD METHODS; PROCESS PARAMETERS;

CRYSTAL GROWTH; DENDRIMERS; GERMANIUM; GRAIN BOUNDARIES; MOLECULAR DYNAMICS;

CRYSTALLIZATION;

EID: 77953088799     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.051604     Document Type: Article

References (42)

1. N. V. Abrosimov, Exp. Astron. 20, 185 (2005). 10.1007/s10686-006-9025-6
2. H. Halloin, Nucl. Instrum. Methods Phys. Res. A 504, 120 (2003). 10.1016/S0168-9002(03)00807-6
3. O. Penrose and P. C. Fife, Physica D 43, 44 (1990). 10.1016/0167-2789(90) 90015-H
4. G. Caginalp, in Applications of Field Theory to Statistical Mechanics, Lecture Notes in Physics Vol. 216, edited by, L. Garrido, (Springer-Verlag, Berlin, 1985), pp. 216-226. 10.1007/3-540-13911-7-85
5. A. Karma, Phys. Rev. Lett. 87, 115701 (2001). 10.1103/PhysRevLett.87. 115701
6. S. G. Kim, W. T. Kim, and T. Suzuki, Phys. Rev. E 60, 7186 (1999). 10.1103/PhysRevE.60.7186
7. A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. A 45, 7424 (1992). 10.1103/PhysRevA.45.7424
8. R. Folch and M. Plapp, Phys. Rev. E 68, 010602 (R) (2003). 10.1103/PhysRevE.68.010602
9. A. A. Wheeler, G. B. McFadden, and W. J. Boettinger, Proc. R. Soc. London, Ser. A 452, 495 (1996). 10.1098/rspa.1996.0026
10. B. Echebarria, R. Folch, A. Karma, and M. Plapp, Phys. Rev. E 70, 061604 (2004). 10.1103/PhysRevE.70.061604
11. S.-L. Wang, R. F. Sekerka, A. A. Wheeler, S. R. Coriell, R. J. Braun, and G. B. McFadden, Physica D 69, 189 (1993). 10.1016/0167-2789(93)90189-8
12. A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998). 10.1103/PhysRevE.57.4323
13. Y.-T. Kim, N. Provatas, N. Goldenfeld, and J. Dantzig, Phys. Rev. E 59, R2546 (1999). 10.1103/PhysRevE.59.R2546
14. G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell, and R. F. Sekerka, Phys. Rev. E 48, 2016 (1993). 10.1103/PhysRevE.48.2016
15. R. F. Sekerka, in Crystal Growth from Fundamentals to Technology, edited by, G. Müller, J.-J. Métois, and, P. Rudolph, (Elsevier, New York, 2004), pp. 55-93. 10.1016/B978-044451386-1/50005-2
16. W. Miller, I. Rasin, and S. Succi, Trends Stat. Phys. 4, 123 (2004).
17. A. Karma and W.-J. Rappel, Phys. Rev. E 53, R3017 (1996). 10.1103/PhysRevE.53.R3017
18. I. Rasin, S. Succi, and W. Miller, J. Comput. Phys. 206, 453 (2005). 10.1016/j.jcp.2004.12.010
19. I. Rasin, W. Miller, and S. Succi, Phys. Rev. E 72, 066705 (2005). 10.1103/PhysRevE.72.066705
20. W. J. Boettinger and J. A. Warren, J. Cryst. Growth 200, 583 (1999). 10.1016/S0022-0248(98)01063-X
21. C. W. Lan and Y. C. Chang, J. Cryst. Growth 250, 525 (2003). 10.1016/S0022-0248(02)02393-X
22. H. Okamoto, Phase Diagrams for Binary Alloys (American Society for Metals, Metals Park, OH, 2000).
23. H. Stöhr and W. Klemm, Z. Anorg. Allg. Chem. 241, 305 (1939). 10.1002/zaac.19392410401
24. V. N. Romanenko and Y. M. Smirnov, Neoorganskij Materialy 10, 1733 (1970) in Russian.
25. J. P. Dismukes and W. M. Yim, J. Cryst. Growth 22, 287 (1974). 10.1016/0022-0248(74)90172-9
26. P. G. Sanders and M. J. Aziz, J. Appl. Phys. 86, 4258 (1999). 10.1063/1.371354
27. E. Ko, M. Jain, and J. R. Chelikowsky, J. Chem. Phys. 117, 3476 (2002). 10.1063/1.1488594
28. M. O. Thompson, P. S. Peercy, J. Y. Tsao, and M. J. Aziz, Appl. Phys. Lett. 49, 558 (1986). 10.1063/1.97094
29. R. V. Kulkarni, W. G. Aulbur, and D. Stroud, Phys. Rev. B 55, 6896 (1997). 10.1103/PhysRevB.55.6896
30. S. Munejiri, F. Shimojo, K. Hoshino, and T. Itami, J. Non-Cryst. Solids 312-314, 182 (2002). 10.1016/S0022-3093(02)01686-1
31. V. Godlevsky, J. R. Chelikowsky, and N. Troullier, Phys. Rev. B 52, 13281 (1995). 10.1103/PhysRevB.52.13281
32. N. Takeuchi and I. L. Garzón, Phys. Rev. B 50, 8342 (1994). 10.1103/PhysRevB.50.8342
33. F. H. Stillinger and T. A. Weber, Phys. Rev. B 31, 5262 (1985). 10.1103/PhysRevB.31.5262
34. Q. Yu and P. Clancy, J. Cryst. Growth 149, 45 (1995). 10.1016/0022-0248(94)00974-0
35. Q. Yu and P. Clancy, Modell. Simul. Mater. Sci. Eng. 2, 829 (1994). 10.1088/0965-0393/2/4/003
36. Q. Yu, M. O. Thompson, and P. Clancy, Phys. Rev. B 53, 8386 (1996). 10.1103/PhysRevB.53.8386
37. W. Yu, Z. Q. Wang, and D. Stroud, Phys. Rev. B 54, 13946 (1996). 10.1103/PhysRevB.54.13946
38. W. Kurz and D. J. Fisher, Fundamentals of Solidification (Trans Tech, Uetikon-Zürich, 1998).
39. W. Miller, N. Abrosimov, I. Rasin, and D. Borissova, J. Cryst. Growth 310, 1405 (2008). 10.1016/j.jcrysgro.2007.11.046
40. W. Miller and I. Rasin, J. Cryst. Growth 303, 95 (2007). 10.1016/j.jcrysgro.2006.12.073
41. B. Billia, H. Jamgotchian, and R. Trivedi, J. Cryst. Growth 106, 410 (1990). 10.1016/0022-0248(90)90087-2
42. D. M. Rosa, J. E. Spinelli, I. L. Ferreira, and A. Garcia, Metall. Mater. Trans. A 39, 2161 (2008). 10.1007/s11661-008-9542-1