numerical simulation of three-dimensional dendritic growth

Physical Review Letters

Volumn 77, Issue 19, 1996, Pages 4050-4053

  Karma, Alain ^a   Rappel, Wouter Jan ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243093192     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.77.4050     Document Type: Article

References (22)

1. J. S. Langer, in Chance and Matter, J. Souletie, J. Vannimenus, and R. Stora, Lectures on the Theory of Pattern Formation, Les Houches, Session XLVI (North-Holland, Amsterdam, 1987), pp. 629–711
2. D. Kessler, J. Koplik, and H. Levine, Adv. Phys. 37, 255 (1988).
3. W. Kurz and D. J. Fisher, Fundamentals of Solidification (Trans Tech, Switzerland, 1989).
4. D. A. Kessler, J. Koplik, and H. Levine, Phys. Rev. A 31, 1712 (1985).
5. E. Ben-Jacob, N. D. Goldenfeld, B. G. Kotliar, and J. S. Langer, Phys. Rev. Lett. 53, 2110 (1984).
6. J. S. Langer, Phys. Rev. A 33, 435 (1986).
7. D. A. Kessler and H. Levine, Acta Metall. 36, 2693 (1988).
8. A. Barbieri and J. S. Langer, Phys. Rev. A 39, 5314 (1989).
9. M. Ben-Amar and E. Brener, Phys. Rev. Lett. 71, 589 (1993). -Amar
10. S-C. Huang and M. E. Glicksman, Acta Metall. 29, 701 (1981).
11. M. E. Glicksman and N. B. Singh, J. Cryst. Growth 98, 277 (1989).
12. M. Muschol, D. Liu, and H. Z. Cummins, Phys. Rev. A 46, 1038 (1992).
13. A. Karma and W. J. Rappel, Phys. Rev. E 53, R3017 (1996). PLEEE8
14. J. S. Langer, Directions in Condensed Matter (World Scientific, Singapore, 1986), p. 164.
15. J. B. Collins and H. Levine, Phys. Rev. B 31, 6119 (1985).
16. R. Kobayashi, Physica (Amsterdam) 63D, 410 (1993).
17. A. A. Wheeler, B. T. Murray, and R. Schaefer, Physica (Amsterdam) 66D, 243 (1993).
18. S-L. Wang and R. F. Sekerka, Phys. Rev. E 53, 3760 (1996). PLEEE8
19. G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell, and R. F. Sekerka, Phys. Rev. E 48, 2016 (1993). PLEEE8
20. G. P. Ivantsov, Dokl. Akad. Nauk SSSR 58, 567 (1947).
21. J. Maurer, B. Perrin, and P. Tabeling, Europhys. Lett. 14, 575–579 (1991).
22. J. C. LaCombe, M. B. Koss, V. E. Fradkov, and M. E. Glicksman, Phys. Rev. E 52, 2778 (1995). PLEEE8