Phase-field-crystal model for fcc ordering

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

Volumn 81, Issue 6, 2010, Pages

  Wu, Kuo An ^a,b   Adland, Ari ^a   Karma, Alain ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; CRYSTAL DENSITY; CRYSTAL MODELS; DENSITY WAVES; FCC CRYSTALS; FREE-ENERGY LANDSCAPE; INPUT PARAMETER; LIQUID PHASIS; LIQUID STRUCTURES; MECHANICALLY STABLE; MODE AMPLITUDES; MODEL PARAMETERS; MOLECULAR DYNAMICS SIMULATIONS; NUMERICAL EXAMPLE; PARAMETER RANGE; PHASE FIELDS; POLYCRYSTALLINE; RECIPROCAL LATTICE VECTORS; SHEAR MODULUS; SPECIFIC MATERIALS; TWO DIMENSIONAL SQUARE LATTICE;

ELASTIC CONSTANTS; FREE ENERGY; LIQUIDS; MOLECULAR DYNAMICS;

CRYSTAL STRUCTURE;

EID: 77953990482     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.061601     Document Type: Article

References (42)

1. K. R. Elder, M. Katakowski, M. Haataja, and M. Grant, Phys. Rev. Lett. 88, 245701 (2002). 10.1103/PhysRevLett.88.245701
2. K. R. Elder and M. Grant, Phys. Rev. E 70, 051605 (2004). 10.1103/PhysRevE.70.051605 (Pubitemid 40086502)
3. K. R. Elder, N. Provatas, J. Berry, P. Stefanovic, and M. Grant, Phys. Rev. B 75, 064107 (2007). 10.1103/PhysRevB.75.064107
4. P. M. Stefanovic, M. Haataja, and N. Provatas, Phys. Rev. Lett. 96, 225504 (2006). 10.1103/PhysRevLett.96.225504 (Pubitemid 43877281)
5. J. Berry, M. Grant, and K. R. Elder, Phys. Rev. E 73, 031609 (2006). 10.1103/PhysRevE.73.031609
6. K.-A. Wu and P. W. Voorhees, Phys. Rev. B 80, 125408 (2009). 10.1103/PhysRevB.80.125408
7. T. V. Ramakrishnan and M. Yussouff, Phys. Rev. B 19, 2775 (1979). 10.1103/PhysRevB.19.2775
8. A. D. J. Haymet and D. W. Oxtoby, J. Chem. Phys. 74, 2559 (1981). 10.1063/1.441326
9. B. B. Laird, J. D. McCoy, and A. D. J. Haymet, J. Chem. Phys. 87, 5449 (1987). 10.1063/1.453663
10. Y. Singh, Phys. Rep. 207, 351 (1991). 10.1016/0370-1573(91)90097-6
11. P. Harrowell and D. Oxtoby, J. Chem. Phys. 80, 1639 (1984). 10.1063/1.446864
12. Y. C. Shen and D. Oxtoby, J. Chem. Phys. 105, 6517 (1996). 10.1063/1.472461
13. Y. C. Shen and D. Oxtoby, J. Chem. Phys. 104, 4233 (1996). 10.1063/1.471234
14. J. Berry, K. R. Elder, and M. Grant, Phys. Rev. E 77, 061506 (2008). 10.1103/PhysRevE.77.061506
15. K.-A. Wu and A. Karma, Phys. Rev. B 76, 184107 (2007). 10.1103/PhysRevB.76.184107
16. A. Jaatinen, C. V. Achim, K. R. Elder, and T. Ala-Nissila, Phys. Rev. E 80, 031602 (2009). 10.1103/PhysRevE.80.031602
17. J. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977). 10.1103/PhysRevA.15.319
18. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993). 10.1103/RevModPhys.65.851
19. R. Lifshitz and D. M. Petrich, Phys. Rev. Lett. 79, 1261 (1997). 10.1103/PhysRevLett.79.1261
20. J. F. Lutsko, Phys. Rev. E 74, 021121 (2006). 10.1103/PhysRevE.74.021121 (Pubitemid 44273914)
21. B. M. Mladek, D. Gottwald, G. Kahl, M. Neumann, and C. N. Likos, Phys. Rev. Lett. 96, 045701 (2006). 10.1103/PhysRevLett.96.045701 (Pubitemid 43270887)
22. J. F. Lutsko and M. Baus, J. Phys.: Condens. Matter 3, 6547 (1991). 10.1088/0953-8984/3/33/028
23. M. Hasegawa and K. Ohno, J. Phys.: Condens. Matter 9, 3361 (1997). 10.1088/0953-8984/9/16/008
24. M. G. Day and A. Hellawell, Proc. R. Soc. London, Ser. A 305, 473 (1968). 10.1098/rspa.1968.0128
25. R. E. Napolitano, H. Meco, and C. Yung, JOM 56, 16 (2004). 10.1007/s11837-004-0067-9
26. S. Henry, G.-U. Gruen, and M. Rappaz, Metall. Mater. Trans. A 35, 2495 (2004). 10.1007/s11661-006-0229-1
27. R. Spatschek and A. Karma, eprint arXiv:org/abs/1002.1580 (unpublished).
28. K.-A. Wu, Ph.D. thesis, Northeastern University, 2006.
29. H. Sakaguchi and H. R. Brand, Phys. Lett. A 227, 209 (1997). 10.1016/S0375-9601(97)00032-7
30. Y. Enomoto, K. Oba, Y. Hayase, and T. Ohta, J. Phys. Soc. Jpn. 70, 2939 (2001). 10.1143/JPSJ.70.2939 (Pubitemid 33371621)
31. A. A. Golovin and A. A. Nepomnyashchy, Phys. Rev. E 67, 056202 (2003). 10.1103/PhysRevE.67.056202
32. F. C. Larché and J. W. Cahn, Acta Metall. 33, 331 (1985). 10.1016/0001-6160(85)90077-X (Pubitemid 15560394)
33. S. van Teeffelen, R. Backofen, A. Voigt, and H. Lowen, Phys. Rev. E 79, 051404 (2009). 10.1103/PhysRevE.79.051404
34. J. Mellenthin, A. Karma, and M. Plapp, Phys. Rev. B 78, 184110 (2008). 10.1103/PhysRevB.78.184110
35. K.-A. Wu, A. Karma, J. J. Hoyt, and M. Asta, Phys. Rev. B 73, 094101 (2006). 10.1103/PhysRevB.73.094101 (Pubitemid 43327457)
36. J. J. Hoyt (private communication).
37. S. M. Foiles, M. I. Baskes, and M. S. Daw, Phys. Rev. B 33, 7983 (1986). 10.1103/PhysRevB.33.7983
38. M. I. Mendelev, S. Han, D. J. Srolovitz, G. J. Ackland, D. Y. Sun, and M. Asta, Philos. Mag. 83, 3977 (2003). 10.1080/14786430310001613264
39. S. M. Foiles (private communication).
40. S. M. Foiles, Scr. Mater. 62, 231 (2010). 10.1016/j.scriptamat.2009.11. 003
41. Y. Wang and J. Li, Acta Mater. 58, 1212 (2010). 10.1016/j.actamat.2009. 10.041
42. Y. Wang and A. G. Khachaturyan, Mater. Sci. Eng., A 438, 55 (2006). 10.1016/j.msea.2006.04.123 (Pubitemid 44645216)