Cell dynamics simulation of Kolmogorov-Johnson-Mehl-Avrami kinetics of phase transformation

Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers

Volumn 44, Issue 9 A, 2005, Pages 6688-6694

  Iwamatsu, Masao ^a   Nakamura, Masato ^a  

^a TOKYO CITY UNIVERSITY   (Japan)

Author keywords

Cell dynamics; KJMA theory; Phase transformation

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; PHASE TRANSITIONS;

CELL DYNAMICS; KJMA THEORY;

CELL CULTURE;

EID: 31544477160     PISSN: 00214922     EISSN: 13474065     Source Type: Journal    
DOI: 10.1143/JJAP.44.6688     Document Type: Article

References (33)

1. A. N. Kolmogorov: Izv. Akad. Nauk SSSR, Ser. Mat. 3 (1937) 355.
2. W. A. Johnson and R. F. Mehl: Trans. AIME 135 (1939) 416.
3. M. Avrami: J. Chem. Phys. 7 (1939) 1103.
4. M. Avrami: J. Chem. Phys. 8 (1940) 212.
5. M. Avrami: J. Chem. Phys. 9 (1941) 177.
6. V. Marx, F. R. Reher and G. Gottstein: Acta Mater. 47 (1999) 1219.
7. R. D. Doherty: Prog. Mater. Sci. 42 (1997) 39.
8. Y. Uemoto, E. Fujii, A. Nakamura, K. Senda and H. Takagi: IEEETrans. Electron Devices 39 (1992) 2359.
9. C. W. Price: Acta Metall. Mater. 38 (1990) 727.
10. V. Erukhimovitch and J. Baram: Phys. Rev. B 51 (1995) 6221.
11. C. DeW. Van Siclen: Phys. Rev. B 54 (1996) 11845.
12. J. W. Cahn and J. E. Hilliard: J. Chem. Phys. 31 (1959) 688.
13. O. T. Valls and G. F. Mazenko: Phys. Rev. B 42 (1990) 6614.
14. H.-J. Jou and M. T. Lusk: Phys. Rev. B 55 (1997) 8114.
15. M. Castro: Phys. Rev. B 67 (2003) 035412.
16. T. M. Rogers, K. R. Elder and R. C. Desai: Phys. Rev. B 37 (1988) 9638.
17. S.-K. Chan: J. Chem. Phys. 67 (1977) 5755.
18. M. Iwamatsu and K. Horii: Phys. Lett. A 214 (1996) 71.
19. H. W. Hesselbarth and I. R. Göbel: Acta Metall. Mater. 39 (1991) 2135.
20. Y. Oono and S. Puri: Phys. Rev. A 38 (1988) 434.
21. S. Puri and Y. Oono: Phys. Rev. A 38 (1988) 1542.
22. P. I. C. Teixeira and B. M. Mulder: Phys. Rev. E 55 (1997) 3789.
23. A. Chakrabarti and G. Brown: Phys. Rev. A 46 (1992) 981.
24. S. Qi and Z.-G. Wang: Phys. Rev. Lett. 76 (1996) 1679.
25. S. R. Ren and I. W. Hamley: Macromolecules 34 (2001) 116.
26. M. Iwamatsu: J. Phys.: Condens. Matter 5 (1993) 7537.
27. S. Wolfram: The Mathematica Book (Wolfram Media, Champaign, IL, 2003) 5th ed.
28. R. J. Gaylord and K. Nishidate: Modeling Nature: Cellular Automata Simulation with Mathematica (Springer, Heidelberg, 1996).
29. J. W. Christian: The Theory of Transformations in Metals and Alloys (Pergamon Press, Oxford, 1965).
30. J. W. Cahn: Acta Metall. 4 (1956) 449.
31. J. J. Burton and R. P. Ray: J. Non-Cryst. Solids 6 (1971) 393.
32. A. D. Rollet, D. J. Srolovitz, R. D. Doherty and M. P. Anderson: Acta Metall. 37 (1989) 627.
33. M. Castro, F. Domínguez-Adame, A. Aánchez and T. Rodríguez: Appl. Phys. Lett. 75 (1999) 2205.