Surface effects on phase transitions of modulated phases and at Lifshitz points: A mean field theory of the ANNNI model

European Physical Journal B

Volumn 10, Issue 1, 1999, Pages 71-90

  Binder, K ^a   Frisch, H L ^a,b  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002083912     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050831     Document Type: Article

References (39)

1. For reviews, see W. Selke, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1992), Vol. 15, pp. 1-72 and references [2-5].
2. Modulated Structure Materials, edited by T. Tsakalakos (Nijhoff, Dordrecht, 1984).
3. Incommensurate Phases in Dielectrics, edited by R. Blinc, A.P. Levanyuk (North-Holland, Amsterdam, 1986).
4. W. Selke, Phys. Rep. 170, 213 (1988).
5. M. Seul, D. Andelman, Science 267, 476 (1995).
6. R.J. Elliott, Phys. Rev. 124, 346 (1961).
7. A. Yoshimori, J. Phys. Soc. Jap. 14, 807 (1959).
8. T. Garel, S. Doniach, Phys. Rev. B 26, 325 (1982).
9. S. Tanisaki, J. Phys. Soc. Jap. 16, 579 (1961).
10. A. Loiseau, G. Van Tendeloo, R. Portier, F. Ducastelle, J. Phys. France 46, 595 (1985).
11. D. de Fontaine, J. Kulik, Acta Metall. 33, 145 (1985).
12. D. Andelman, F. Brochard, J.-F. Joanny, J. Chem. Phys. 86, 3673 (1987).
13. G. Gompper, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London), Vol. 16.
14. F.S. Bates, G.H. Fredrickson, Annu. Rev. Phys. Chem. 41, 525 (1990).
15. K. Binder, Adv. Polym. Sci. 112, 181 (1994).
16. M.E. Fisher, W. Selke, Phys. Rev. Lett. 44, 1502 (1980).
17. R.M. Hornreich, M. Luban, S. Shtrikman, Phys. Rev. Lett. 35, 1678 (1975).
18. R.M. Hornreich, A.D. Bruce, J. Phys. A 11, 595 (1978).
19. R.R. Netz, D. Andelman, M. Schick, Phys. Rev. Lett. 79, 1058 (1997).
20. G.H. Fredrickson, Macromol. 20, 2535 (1987).
21. K. Binder, H.L. Frisch, S. Stepanow, J. Phys. II France 7, 1353 (1997) and references therein.
22. For reviews, see K. Binder, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz, (Academic Press, London, 1983), Vol. 8, pp. 1-144, and reference [23].
23. H.W. Diehl, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1986), Vol. 10, pp. 75-267.
24. K. Binder, P.C. Hohenberg, Phys. Rev. B 6, 3461 (1972); 9, 2194 (1974).
25. K. Binder, P.C. Hohenberg, Phys. Rev. B 6, 3461 (1972); 9, 2194 (1974).
26. D.P. Landau, K. Binder, Phys. Rev. B 41, 4633 (1990); K. Binder, D.P. Landau, Physica A 163, 17 (1990).
27. D.P. Landau, K. Binder, Phys. Rev. B 41, 4633 (1990); K. Binder, D.P. Landau, Physica A 163, 17 (1990).
28. K. Binder, D.P. Landau, Surf. Sci. 61, 577 (1976).
29. K. Binder, H.L. Frisch, Z. Phys. B 84, 403 (1991).
30. H.W. Diehl, H.K. Janssen, Phys. Rev. A 45, 7145 (1992).
31. R. Brout, Phase Transitions (Benjamin, New York, 1965).
32. J. Stephenson, Can. J. Phys. 48, 1724 (1970).
33. R.M. Hornreich, R. Liebmann, H.G. Schuster, W. Selke, Z. Phys. B 35, 71 (1979).
34. R. Liebmann, in Lect. Notes Phys. (Springer, Berlin, 1986), Vol. 251.
35. M.H. Jensen, P. Bak, Phys. Rev. B 29, 6280 (1984).
36. W. Selke, P.M. Duxbury, Z. Phys. B 57, 49 (1984).
37. M.E. Fisher, Rep. Prog. Phys. 30, 731 (1967).
38. 2 → 0.
39. J.C. Le Guillou, J. Zinn-Justin, Phys. Rev. B 21, 3976 (1980).