Film rupture in the diffuse interface model coupled to hydrodynamics

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

Volumn 64, Issue 3, 2001, Pages 14-

  Pomeau, Yves ^a,c,d   Velarde, Manuel G ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b BRANDENBURG UNIVERSITY OF TECHNOLOGY   (Germany)

^c CNRS   (France)

^d Laboratoire ASCI   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035266208     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.031602     Document Type: Article

References (48)

1. H. S. Kheshgi and L. E. Scriven, Chem. Eng. Sci. 46, 519 (1991).
2. M. Mertig, U. Thiele, J. Bradt, D. Klemm, and W. Pompe, Appl. Phys. A: Solids Surf 66, S565 (1998).
3. F. Brochard-Wyart and J. Daillant, Can. J. Phys. 68, 1084 (1989).
4. G. Reiter, Phys. Rev. Lett. 68, 75 (1992).
5. E. Ruckenstein and R. Jain, J. Chem. Soc., Faraday Trans. 2 70, 132 (1974).
6. R. Khanna, A. Sharma, and G. Reiter, EPJdirect E2, 1 (2000).
7. C. Redon, F. Brochard-Wyart, and F. Rondelez, Phys. Rev. Lett. 66, 715 (1991).
8. K. Jacobs, R. Seemann, G. Schatz, and S. Herminghaus, Langmuir 14, 4961 (1998).
9. K. Jacobs, S. Herminghaus, and K. R. Mecke, Langmuir 14, 965 (1998).
10. V. S. Mitlin, J. Colloid Interface Sci. 233, 153 (2001).
11. N. Samid-Merzel, S. Lipson, and D. S. Tannhauser, Phys. Rev. E 57, 2906 (1998).
12. J. Bischof, D. Scherer, S. Herminghaus, and P. Leiderer, Phys. Rev. Lett. 77, 1536 (1996).
13. R. Xie, A. Karim, J. Douglas, C. Han, and R. Weiss, Phys. Rev. Lett. 81, 1251 (1998).
14. U. Thiele, M. Mertig, and W. Pompe, Phys. Rev. Lett. 80, 2869 (1998).
15. G. Reiter, A. Sharma, A. Casoli, M.-O. David, R. Khanna, and P. Auroy, Langmuir 15, 2551 (1999).
16. G. Reiter, Langmuir 9, 1344 (1993).
17. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
18. J. W. Cahn and J. W. Hillard, J. Chem. Phys. 28, 258 (1958).
19. V. S. Mitlin, J. Colloid Interface Sci. 156, 491 (1993).
20. B. V. Derjaguin, Zh. Fiz. Khim. 14, 137 (1940).
21. B. V. Derjaguin, N. V. Churaev, and V. M. Muller, Surface Forces (Consultants Bureau, New York, 1987).
22. G. F. Teletzke, H. T. Davis, and L. E. Scriven, Rev. Phys. Appl. 23, 989 (1988).
23. R. J. Hunter, Foundation of Colloid Science (Clarendon Press, Oxford, 1992), Vol. 1.
24. J. N. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 1992).
25. V. M. Starov, Adv. Colloid Interface Sci. 39, 147 (1992).
26. A. Sharma, Langmuir 9, 861 (1993).
27. A. Sharma, J. Colloid Interface Sci. 156, 96 (1993).
28. A. Sharma and A. T. Jammel, J. Colloid Interface Sci. 161, 190 (1993).
29. A. T. Jammel and A. Sharma, J. Colloid Interface Sci. 164, 416 (1994).
30. A. Sharma and R. Khanna, Phys. Rev. Lett. 81, 3463 (1998).
31. A. Sharma and R. Khanna, J. Chem. Phys. 110, 4929 (1999).
32. A. Oron, Phys. Rev. Lett. 85, 2108 (2000).
33. L. M. Pismen and Y. Pomeau, Phys. Rev. E 62, 2480 (2000).
34. P. G. de Gennes, Rev. Mod. Phys. 57, 827 (1985).
35. A. Sharma, Langmuir 9, 3580 (1993).
36. U. Thiele, M. G. Velarde, and K. Neuffer, Phys. Rev. Lett. 87, 016104 (2001).
37. J. Langer, Ann. Phys. (N.Y.) 65, 53 (1971).
38. A. Novick-Cohen and L. A. Segel, Physica D 10, 277 (1984).
39. A. Novick-Cohen, J. Stat. Phys. 38, 707 (1985).
40. M. Hentschel, M. Bobeth, G. Diener, and W. Pompe, Thin Solid Films 354, 267 (1999).
41. A. Sharma and E. Ruckenstein, J. Colloid Interface Sci. 113, 456 (1986).
42. A. Oron and P. Rosenau, J. Phys. II 2, 361 (1992).
43. V. S. Mitlin, J. Colloid Interface Sci. 227, 371 (2000).
44. (Formula presented) contains no (Formula presented) term, as can be seen in the next order approximation, giving (Formula presented) and (Formula presented).
45. R. Bausch and R. Blossey, Phys. Rev. E 48, 1131 (1993).
46. R. Bausch, R. Blossey, and M. Burschka, J. Phys. A 27, 1405 (1994).
47. E. Doedel, A. Champneys, T. Fairfrieve, Y. Kuznetsov, B. Sandstede, and X. Wang, AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (Concordia University Press, Montreal, 1997).
48. H. I. Kim, C. M. Mate, K. A. Hannibal, and S. S. Perry, Phys. Rev. Lett. 82, 3496 (1999).