Thermal fluctuations in supercrystal stripe phases of langmuir monolayers

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

Volumn 54, Issue 4, 1996, Pages 3906-3927

  Deutsch, A ^a   Safran, S A ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644247343     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.3906     Document Type: Article

References (35)

1. C. M. Knobler, J. Phys. Condens. Matter3, S17 (1991).
2. H. Möhwald, R. M. Kenn, D. Degenhardt, K. Kjaer and J. Als-Nielsen, Physica A168, 127 (1990).
3. M. Seul and M. J. Sammon, Phys. Rev. Lett.64, 1903 (1990).
4. T. Garel and S. Doniach, Phys. Rev. B26, 325 (1982).
5. D. Andelman, F. Broçhard and J-F Joanny, J. Chem. Phys.86, 3673 (1987).
6. H. M. McConnell and V. T. Moy, J. Phys. Chem.92, 4520 (1988).
7. M. Seul and D. Andelman, Science267, 476 (1995).
8. For analysis of effects of in-plane dipolar moments see, for example, P. Muller and F. Gallet, J. Phys. Chem.95, 3257 (1991).
9. T. M. Fischer, R. F. Bruinsma and C. M. Knobler, Phys. Rev. E50, 413 (1994).
10. K-O Ng and D. Vanderbilt (private communication).
11. D. Andelman, F. Broçhard, C. Knobler, and F. Rondelez, in Micelles, Membranes, Microemulsions, and Monolayers, edited by W. Gelbart et al. (Springer-Berlag, New York, 1994), Chap. 12, p. 586.
12. D. J. Keller, H. M. McConnell and V. T. Moy, J. Phys. Chem.90, 2311 (1986).
13. D. Sornette, J. Phys. (Paris)48, 151 (1987).
14. D. Sornette, J. Phys. (Paris)48, 1413 (1987).
15. J. Toner and D. R. Nelson, Phys. Rev. B23, 316 (1981).
16. H. M. McConnell, J. Phys. Chem.96, 3167 (1992).
17. A. Cebers (private communication).
18. R. de Koker, W. Jiang and H. M. McConnell, J. Phys. Chem.99, 6251 (1995).
19. Ar. Abanov, V. Kalatsky, V. L. Pokrovsky and W.M. Saslow, Phys. Rev. B51, 1023 (1995).
20. L. Golubović and Z-G Wang, Phys. Rev. E49, 2567 (1994).
21. H. M. McConnell and R. de Koker, J. Phys. Chem.96, 7101 (1992).
22. C. Flament and F. Gallet, Europhys. Lett.20, 331 (1992).
23. M. Seul and V. S. Chen, Phys. Rev. Lett.70, 1658 (1993).
24. W. Helfrich, Z. Naturforsch. Teil A33, 305 (1978).
25. P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, New York, 1995), Chap. 6, p. 298.
26. P.G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, Oxford, 1993), Chap. 9, p. 490.
27. S. T. Chui and J. D. Weeks, Phys. Rev. Lett.40, 733 (1978).
28. S. A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (Addison-Wesley, 1994), Chap. 3, p. 92.
29. See, for example, S. A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (Ref. 29), Chap. 2, p. 61.
30. Y. Saito, Z. Phys. B32, 75 (1978).
31. The self-consistent calculation suggests a possible first-order roughening transition in systems with only short-range interactions. See A. Deutsch and S. A. Safran (unpublished).
32. See, for example, G. Arfken, Mathematical Methods for Physicists (Academic Press, Orlando, FL, 1985), Chap. 1, pp. 58, 59.
33. A more rigorous analysis of the microscopic cutoff (but with similar results) is done by S. A. Langer, R. E. Goldstein and D. P. Jackson, Phys. Rev. A46, 4894 (1992).
34. Note that there is no intermediate case, since the stripes are assumed to be much thicker than the microscopic size Δ for our model to be self-consistent.
35. M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, New York, 1958), Chap. 5, p. 67.