Surface angle transitions and facets in a solvable TSK model of steady crystal growth

Journal of Crystal Growth

Volumn 180, Issue 1, 1997, Pages 136-156

  Gates, D J ^a  

^a CSIRO   (Australia)

Author keywords

Facets; Phase transitions; Statistical mechanics; TSK model

Indexed keywords

TERRACE STEP KINK MODEL;

CRYSTAL STRUCTURE; MARKOV PROCESSES; MATHEMATICAL MODELS; PHASE TRANSITIONS; STATISTICAL MECHANICS; SURFACE STRUCTURE;

CRYSTAL GROWTH;

EID: 0031235842     PISSN: 00220248     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0248(97)00200-5     Document Type: Article

References (24)

1. K.A. Jackson, J. Crystal Growth 3 (4) (1968) 507.
2. C.H. Bennett, M. Bütticker, R. Landauer, H. Thomas, J. Stat. Phys. 24 (1981) 419.
3. J.I. Lauritzen Jr., J. Appl. Phys. 44 (1973) 4353.
4. F.C. Frank, J. Crystal Growth 22 (1974) 233.
5. D.J. Gates, M. Westcott, Proc. Roy. Soc. Lond. A 416 (1988) 443.
6. D.J. Gates, M. Westcott, Proc. Roy. Soc. Lond. A 416 (1988) 463.
7. D.J. Gates, J. Stat. Phys. 52 (1988) 245.
8. D.J. Gates, M. Westcott, J. Stat. Phys. 77 (1994) 199.
9. D.J. Gates, Stationary states of a directed planar growth process (1995); Adv. Appl. Prob., to appear.
10. D.J. Gates, M. Westcott, J. Stat. Phys. 59 (1990) 73.
11. P. Whittle, Reversibility in Markov Processes, unpublished manuscript, 1955.
12. P. Whittle, Systems in Stochastic Equilibrium, Wiley, Chichester, 1986.
13. D.J. Gates, M. Westcott, J. Stat. Phys. 81 (1995) 681.
14. G.H. Gilmer, J. Crystal Growth 49 (1980) 465.
15. G.H. Gilmer, K.A. Jackson, in: E. Kaldis, H.J. Scheel (Eds.), Crystal Growth and Materials, North-Holland, Amsterdam, 1976, p. 80.
16. J.D. Weeks, G.H. Gilmer, Adv. Chem, Phys. 40 (1979) 157.
17. F.C. Frank, Discussions of the Faraday Society 5 (1949) 48.
18. J. Garside, in: E. Kaldis, H.J. Scheel (Eds.), Crystal Growth and Materials, North-Holland, Amsterdam, 1977, p. 484.
19. P.O. de Gennes, J. Chem. Phys. 48 (1968) 2257.
20. J. Villain, P. Bak, J. Physique 42 (1981) 657.
21. B. Joos, T.L. Einstein, N.C. Bartelt, Phys. Rev. B 43 (10) (1991) 8153.
22. K. Huang, Statistical Mechanics, Wiley, New York, 1963.
23. H. van Beijeren, I. Nolden, in: W. Schommers, P. von Blanckenhagen (Eds.), Structure and Dynamics of Surfaces II, Ch. 7, Springer. Berlin, 1987, p. 259.
24. M. Wortis, in: R. Vanselow, R F. Howe (Eds.), Chemistry and Physics of Solid Surfaces VII, Ch. 13, Springer, Berlin, 1988, p. 367.