Tethered membranes far from equilibrium: Buckling dynamics

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

Volumn 60, Issue 4, 1999, Pages 4377-4384

  Moldovan, Dorel ^a   Golubovic, Leonardo ^b  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5244367758     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4377     Document Type: Article

References (39)

1. Y. Kantor, M. Kardar, and D. R. Nelson, Phys. Rev. Lett. 57, 791 (1986)
2. Y. KantorM. KardarD. R. NelsonPhys. Rev. A 35, 3056 (1987).
3. F. F. Abraham, W. E. Rudge, and M. Plischke, Phys. Rev. Lett. 62, 1757 (1989).
4. G. S. Grest and M. Murat, J. Phys. (France) 51, 1415 (1990).
5. G. S. Grest and I. B. Petsche, Phys. Rev. E 50, 1737 (1994).
6. D. M. Kroll and G. Gompper, J. Phys. I 3, 1131 (1993).
7. T. Hwa, E. Kokufuta, and T. Tanaka, Phys. Rev. A 44, 2235 (1991).
8. M. S. Spector, E. Naranjo, S. Chiruvolu, and J. A. Zasadzinski, Phys. Rev. Lett. 73, 2867 (1994).
9. J. A. Aronowitz and T. C. Lubensky, Europhys. Lett. 4, 395 (1987).
10. D. R. Nelson and L. Peliti, J. Phys. (France) 48, 1085 (1987)
11. J. Phys. (France)J. A. Aronowitz, L. Golubovic, and T. C. Lubensky, 50, 609 (1989).
12. M. Kardar and D. R. Nelson, Phys. Rev. Lett. 58, 1289 (1987)
13. Phys. Rev. Lett.F. David and K. J. Wiese, 76, 4564 (1996).
14. D. Moldovan and L. Golubovic, Phys. Rev. Lett. 82, 2884 (1999).
15. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, New York, 1986)
16. A. E. Love, A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1994), Chap. 2.
17. P. Stutenkemper and R. Brasche, in Proceedings of the Seventh International Conference on Experimental Safety Vehicles, Paris, 1979 (U.S. Department of Transportation, Washington, D.C., 1980).
18. E. Sackmann, P. Eggl, C. Fahn, H. Ringsdorf, and M. Schollmeier, J. Phys. Chem. 89, 1198 (1985).
19. R. R. Chianelli, E. B. Prestige, T. A. Pecoraro, and J. P. DeNeufville, Science 203, 1105 (1979).
20. C. F. Schmidt, K. Svoboda, N. Lei, I. B. Petche, L. E. Berman, C. R. Safinya, and G. S. Grest, Science 259, 952 (1993).
21. L. Bordieu, J. Daillant, D. Chatenay, A. Braslau, and D. Colson, Phys. Rev. Lett. 72, 1502 (1994)
22. A. Saint-Jalmes and F. Gallet, Eur. Phys. J. B 2, 498 (1998).
23. For buckling induced by internal strains, see, for example, special issue on heteroepitaxy and strain [MRS Bull. 21 (4), (1996)].
24. For thermally induced buckling, see A. M. Huntz, Mater. Sci. Eng., A 201, 211 (1995).
25. L. Golubovic, D. Moldovan, and A. Peredera, Phys. Rev. Lett. 81, 3387 (1998).
26. K. Binder, Rep. Prog. Phys. 50, 783 (1987).
27. H. Furukawa, Adv. Phys. 34, 703 (1985).
28. A. J. Bray, Adv. Phys. 43, 357 (1994).
29. H.-J. Ernst, F. Fabre, R. Folkerts, and J. Lapujoulade, Phys. Rev. Lett. 72, 112 (1994)
30. Phys. Rev. Lett.M. D. Johnson, C. Orme, A. W. Hunt, D. Graff, J. Sudijono, L. M. Sander, and B. G. Orr, 72, 116 (1994)
31. J. Amar and F. Family, Phys. Rev. B 54, 14 742 (1996).
32. L. Golubovic and R. P. U. Karunasiri, Phys. Rev. Lett. 66, 3156 (1991).
33. L. Golubovic, Phys. Rev. Lett. 87, 90 (1997).
34. A. E. Lobkovsky, S. Gentges, H. Li, D. Morse, and T. A. Witten, Science 270, 1482 (1995)
35. A. E. Lobkovsky, Phys. Rev. E 53, 3750 (1996).
36. E. M. Kramer and T. Witten, Phys. Rev. Lett. 78, 1303 (1997).
37. For Zimm effects, see, e.g., E. Frey and D. R. Nelson, J. Phys. I 1, 1715 (1991), and references therein.
38. For clarity we note that, for (Formula presented) Eq. (A1) implies (Formula presented) where (Formula presented) is the Fourier transform of the elastic force (Formula presented) For a free membrane relaxing to the flat configuration (Formula presented) thus (Formula presented) with (Formula presented) For the Rouse dynamics (Formula presented) is finite for (Formula presented) and long wavelength membrane undulations (Formula presented) relax with (Formula presented) For the Zimm dynamics (Formula presented) for small q, and long wavelength undulations of the membrane relax with (Formula presented)
39. See Ref. 12, Chap. 5.