Parametric links among Monte Carlo, phase-field, and sharp-interface models of interfacial motion

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

Volumn 66, Issue 6, 2002, Pages 8-

  Liu, Pu ^a   Lusk, Mark T ^a  

^a Department of Metallurgical and Materials Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BULK EFFECTS; EFFECTIVE MOBILITY; INTERFACIAL FREE ENERGY; MICROSCOPIC HAMILTONIAN;

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; FREE ENERGY; HAMILTONIANS; MONTE CARLO METHODS;

SURFACE CHEMISTRY;

ARTICLE;

EID: 41349113123     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.061603     Document Type: Article

References (30)

1. L.D. Landau and I.M. Khalatnikov, in Collected Papers of L. D. Landau, edited by D. Ter Haar (Pergamon, Oxford, 1965).
2. S.M. Allen and J.W. Cahn, Acta Metall. 27, 1085 (1979).
3. W.L. Bragg and E.J. Williams, Proc. R. Soc. London, Ser. A 145, 699 (1934).
4. W.L. Bragg and E.J. Williams, Proc. R. Soc. London, Ser. A 151, 540 (1935);
5. Proc. R. Soc. London, Ser. AW.L. BraggE.J. Williams152, 231 (1935).
6. J.W. Cahn and J.E. Hilliard, J. Chem. Phys. 28, 258 (1958).
7. M.T. Lusk, Proc. R. Soc. London, Ser. A 455, 677 (1999).
8. D. Fan and L.Q. Chen, Acta Mater. 45, 611 (1997).
9. D. Fan and L.Q. Chen, Acta Mater. 45, 1115 (1997).
10. D. Fan, L.Q. Chen, and S.P. Chen, J. Am. Ceram. Soc. 81, 526 (1998).
11. P.S. Sahni, G.S. Grest, M.P. Anderson, and D.J. Srolovitz, Phys. Rev. Lett. 50, 263 (1983).
12. M.P. Anderson, D.J. Srolovitz, G.S. Grest, and P.S. Sahni, Acta Metall. 32, 783 (1984).
13. M.P. Anderson, G.S. Grest, and D.J. Srolovitz, Scr. Metall. 19, 225 (1985).
14. S.A. Safran, P.S. Sahni, and G.S. Grest, Phys. Rev. B 28, 2693 (1983).
15. P.S. Sahni, D.J. Srolovitz, G.S. Grest, M.P. Anderson, and S.A. Safran, Phys. Rev. B 28, 2705 (1983).
16. E.A. Holm, J.A. Glazier, D.J. Srolovitz, and G.S. Grest, Phys. Rev. A 43, 2662 (1991).
17. E.A. Holm, D.J. Srolovitz, and J.W. Cahn, Acta Metall. Mater. 41, 1119 (1993).
18. V. Tikare and E.A. Holm, J. Am. Ceram. Soc. 81, 480 (1998).
19. H.-J. Jou and M.T. Lusk, Phys. Rev. B 55, 8114 (1997).
20. V. Tikare, E.A. Holm, D. Fan, and L.Q. Chen, Acta Mater. 47, 363 (1999).
21. L. Onsager, Phys. Rev. 65, 117 (1944).
22. H. Spohn, J. Stat. Phys. 71, 1081 (1993).
23. L. Onsager, Phys. Rev. 37, 405 (1931).
24. D.E. Knuth, Semi-Numerical Algorithms, 2nd ed., Vol. 2 of The Art of Computer Programming (Addison-Wesley, Reading, MA, 1981).
25. E.M. Gurtin and M.T. Lusk, Physica D 130, 133 (1999).
26. E. Fried and M.E. Gurtin, Physica D 68, 326 (1993).
27. E. Fried and M.E. Gurtin, Physica D 72, 287 (1999).
28. E. Fried, Continuum Mech. Thermodyn. 9, 33 (1997).
29. W. K. Burton, N. Cabrera, and F. C. Frank, Philos. Trans. R. Soc. London 243, 299 (1951).
30. J. E. Avron, H. van Beijeren, L. S. Schulman, and R. K. P. Zia, J. Phys. A: Math. Gen. 15, L81 (1982).