Stochastic grain growth model based on a variational principle for dissipative systems

Physica A: Statistical Mechanics and its Applications

Volumn 282, Issue 3, 2000, Pages 339-354

  Cleri, Fabrizio ^a,b  

^a ENEA   (Italy)

^b INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL MICROSTRUCTURE; ENERGY DISSIPATION; GRAIN BOUNDARIES; KINETIC THEORY; MONTE CARLO METHODS; POLYCRYSTALLINE MATERIALS; RANDOM PROCESSES; VARIATIONAL TECHNIQUES;

CELLULAR NETWORK; DISSIPATIVE SYSTEMS; KINETIC MONTE CARLO; TRANSITION RATE GENERATING FUNCTION; VARIATIONAL PRINCIPLES;

GRAIN GROWTH;

EID: 0033723194     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00087-X     Document Type: Article

References (38)

1. C.S. Smith, in: Metal Interfaces, ASM, Cleveland, 1965, p. 65.
2. Atkinson H.V. Acta Metall. 36:1988;469.
3. Glazier J.A., Weaire D. J. Phys. Condens. Matter. 4:1992;1867.
4. Stavans J. Rep. Prog. Phys. 56:1993;733.
5. Weaire D., Kermode J.P. Philos. Mag. B. 48:1983;245.
6. Weaire D., Kermode J.P. Philos. Mag. B. 50:1984;379.
7. Humpreys F.J. Mater. Sci. Technol. 8:1992;135.
8. Allen S.M., Cahn J.W. Acta Metall. 27:1979;1085.
9. Frost H.J., Thompson C.V. Acta Metall. 35:1987;529.
10. Frost H.J., Thompson C.V., Howe C.L., Wang J. Scr. Metall. 22:1988;65.
11. Kawasaki K., Nagai T., Nakashima K. Philos. Mag. B. 60:1989;399.
12. Hillert M. Acta Metall. 13:1965;227.
13. Needleman A., Rice J.R. Acta Metall. 28:1980;1315.
14. Cocks A.C.F., Gill S.P. Acta Mater. 44:1996;4765, 4777.
15. Vujanovic B.D., Jones S.E. Variational Methods in Nonconservative Phenomena. 1989;Academic Press, Boston.
16. Pan J., Cocks A.C.F. Compos. Mater. Sci. 1:1993;95.
17. Pan J., Cocks A.C.F. Acta Mater. 43:1995;1395.
18. Cocks A.C.F. J. Mech. Phys. Solids. 44:1996;1429.
19. Louat N.P. Acta Metall. 22:1974;721.
20. Pande C.S. Acta Metall. 35:1987;2671.
21. Thorvaldsen A. Acta. Metall. 41:1993;1347.
22. Stavans J., Glazier J.A. Phys. Rev. Lett. 62:1989;1318.
23. J. Von Neumann, in: Metal Interfaces, ASM Cleveland, 1965, p. 106.
24. Ryum N., Hunderi O. Acta Metall. 37:1989;1375.
25. W.W. Mullins, Acta Mater. 46 (1998) 6129; K. Binder, M.H. Kalos, in: K. Binder (Ed.), Monte Carlo Methods in Statistical Physics, Topics in Current Physics, Vol. 7, Springer, Berlin, 1986 (Chapters 1, 6).
26. W.W. Mullins, Acta Mater. 46 (1998) 6129; K. Binder, M.H. Kalos, in: K. Binder (Ed.), Monte Carlo Methods in Statistical Physics, Topics in Current Physics, Vol. 7, Springer, Berlin, 1986 (Chapters 1, 6).
27. A.P. Sutton, R.W. Balluffi, Interfaces in Crystalline Materials, Oxford Science Publications, Oxford, 1995 (Chapter 9).
28. Anderson M.P., Srolovitz D.J., Grest G.S., Sahni P.S. Acta Metall. 32:1984;783, 793.
29. Anderson M.P., Srolovitz D.J., Grest G.S., Sahni P.S. Philos. Mag. B. 59:1989;293.
30. Pan J., Cocks A.C.F., Kucherenko S. Proc. Roy. Soc. London A. 453:1997;2161.
31. Herdtle T., Aref H. J. Fluid Mech. 241:1992;233.
32. Carnal E., Mocellin A. Acta Metall. 29:1981;135.
33. Aboav D.A. Metallography. 3:1970;383.
34. Weaire D. Metallography. 7:1974;157.
35. Lewis D. Anat. Rec. 38:1928;351.
36. Pande C.S., Dantsker E. Acta Metall. 38:1990;945.
37. Pande C.S., Dantsker E. Acta Metall. 39:1991;1359.
38. Fradkov V., Schvindlerman L., Udler D. Scr. Metall. 19:1985;1285.