Modelling thin-film dewetting on structured substrates and templates: Bifurcation analysis and numerical simulations

European Physical Journal E

Volumn 11, Issue 3, 2003, Pages 255-271

  Thiele, U ^a   Brusch, L ^a   Bestehorn, M ^b   Bar M ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b BRANDENBURG UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; INTEGRATION; MORPHOLOGY; PERTURBATION TECHNIQUES; SUBSTRATES; WETTING;

THIN-FILM DEWETTING;

THIN FILMS;

ARTICLE; BIOMEDICAL ENGINEERING; BIOPHYSICS; METHODOLOGY; NANOTECHNOLOGY; PHYSICAL CHEMISTRY; PRESSURE; SURFACE PROPERTY; THEORETICAL MODEL; TIME;

BIOMEDICAL ENGINEERING; BIOPHYSICS; CHEMISTRY, PHYSICAL; MODELS, THEORETICAL; NANOTECHNOLOGY; PRESSURE; SURFACE PROPERTIES; TIME FACTORS;

EID: 0041941142     PISSN: 12928941     EISSN: None     Source Type: Journal    
DOI: 10.1140/epje/i2003-10019-5     Document Type: Article

References (72)

1. A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
2. M. Borgas, J. Grotberg, J. Fluid Mech. 193, 151 (1988).
3. A. Sharma, E. Ruckenstein, J. Colloid Interface Sci. 106, 12 (1985).
4. S.G. Bankoff, J. Heat Transf.-Trans. ASME 116, 10 (1994).
5. H.E. Huppert, Nature 300, 427 (1982).
6. V.S. Mitlin, J. Colloid Interface Sci. 156, 491 (1993).
7. A. Sharma, R. Khanna, Phys. Rev. Lett. 81, 3463 (1998).
8. A. Oron, Phys. Rev. Lett. 85, 2108 (2000).
9. A.L. Bertozzi, G. Grün, T.P. Witelski, Nonlinearity 14, 1569 (2001).
10. U. Thiele, M.G. Velarde, K. Neuffer, Y. Pomeau, Phys. Rev. E 64, 031602 (2001).
11. A. Oron, P. Rosenau, J. Phys. II 2, 131 (1992).
12. S.J. VanHook, M.F. Schatz, J.B. Swift, W.D. McCormick, H.L. Swinney, J. Fluid Mech. 345, 45 (1997).
13. U. Thiele, E. Knobloch, submitted to Physica D (2002).
14. J.W. Cahn, J.W. Billiard, J. Chem. Phys. 28, 258 (1958).
15. M. Eres, L. Schwartz, R. Roy, Phys. Fluids 12, 1278 (2000).
16. U. Thiele, M.G. Velarde, K. Neuffer, M. Bestehorn, Y. Pomeau, Phys. Rev. E 64, 061601 (2001).
17. M. Bestehorn, K. Neuffer, Phys. Rev. Lett. 87, 046101,1 (2001).
18. A.A. Golovin, A.A. Nepomnyashchy, S.H. Davis, M.A. Zaks, Phys. Rev. Lett. 86, 1550 (2001).
19. G. Reiter, Phys. Rev. Lett. 68, 75 (1992).
20. R. Seemann, S. Herminghaus, K. Jacobs, Phys. Rev. Lett. 86, 5534 (2001).
21. C. Redon, F. Brochard-Wyart, F. Rondelez, Phys. Rev. Lett. 66, 715 (1991).
22. R. Seemann, S. Herminghaus, K. Jacobs, Phys. Rev. Lett. 87, 196101 (2001).
23. A. Sharma, G. Reiter, J. Colloid Interface Sci. 178, 383 (1996).
24. G. Reiter, A. Sharma, Phys. Rev. Lett. 87, 166103 (2001).
25. H.S. Kheshgi, L.E. Scriven, Chem. Eng. Sci. 46, 519 (1991).
26. M. Mertig, U. Thiele, J. Bradt, D. Klemm, W. Pompe, Appl. Phys. A 66, S565 (1998).
27. L. Rockford, Y. Liu, P. Mansky, T.P. Russell, M. Yoon, S.G.J. Mochrie, Phys. Rev. Lett. 82, 2602 (1999).
28. H. Gau, S. Herminghaus, P. Lenz, R. Lipowsky, Science 283, 46 (1999).
29. M. Gleiche, L.F. Chi, H. Fuchs, Nature 403, 173 (2000).
30. A.M. Higgins, R.A.L. Jones, Nature 404, 476 (2000).
31. P. Rehse, C. Wang, M. Hund, M. Geoghegan, R. Magerle, G. Krausch, Eur, Phys. J. E 4, 69 (2001).
32. Y.N. Xia, D. Qin, Y.D. Yin, Curr. Opin. Colloid Interface Sci. 6, 54 (2001).
33. A. Karim, J.F. Douglas, B.P. Lee, S.C. Glotzer, J.A. Rogers, R.J. Jackman, E.J. Amis, G.M. Whitesides, Phys. Rev. E 57, R6273 (1998).
34. M. Mertig, R. Kirsch, W. Pompe, H. Engelhardt, Eur. Phys. J. D 9, 45 (1999).
35. P. Lenz, R. Lipowsky, Phys. Rev. Lett. 80, 1920 (1998).
36. C. Bauer, S. Dietrich, A. Parry, Europhys. Lett. 47, 474 (1999).
37. C. Bauer, S. Dietrich, Phys. Rev. E 61, 1664 (2000).
38. R. Konnur, K. Kargupta, A. Sharma, Phys. Rev. Lett. 84, 931 (2000).
39. K. Kargupta, R. Konnur, A. Sharma, Langmuir 16, 10243 (2000).
40. K. Kargupta, R. Konnur, A. Sharma, Langmuir 17, 1294 (2001).
41. K. Kargupta, A. Sharma, Phys. Rev. Lett. 86, 4536 (2001).
42. R. Lipowsky, Gurr. Opin. Colloid Surf. Sci. 6, 40 (2001).
43. M. Brinkmann, R. Lipowsky, J. Appl. Phys. 92, 4296 (2002).
44. E.J. Doedel, A.R. Champneys, T. Fairgrieve, Y. Kuznetsov, B. Sandstede, X. Wang, AUT097: Continuation and Bifurcation Software for Ordinary Differential Equations (Concordia University, Montreal, 1997).
45. E. Doedel, H.B. Keller, J.P. Kernevez, Int. J. Bifurcat. Chaos 1, 493 (1991).
46. E. Doedel, H.B. Keller, J.P. Kernevez, Int. J. Bifurcat. Chaos 1, 745 (1991).
47. U. Thiele, M.G. Velarde, K. Neuffer, Phys. Rev. Lett. 87, 016104 (2001).
48. U. Thiele, K. Neuffer, Y. Pomeau, M.G. Velarde, Colloid Surf. A 206, 135 (2002).
49. U. Thiele, K. Neuffer, M. Bestehorn, Y. Pomeau, M.G. Velarde, Colloid Surf. A 206, 87 (2002).
50. U. Thiele, E. Knobloch, Phys. Fluids 15, 892 (2003).
51. J. Skotheim, U. Thiele, B. Scheid, J. Fluid Mech. 475, 1 (2003).
52. L. Brusch, H. Kühne, U. Thiele, M. Bär, Phys. Rev. E 66, 011602 (2002).
53. P. Lenz, R. Lipowsky, Eur. Phys. J. E 1, 249 (2000).
54. G.F. Teletzke, H.T. Davis, L.E. Scriven, Rev. Phys. Appl. 23, 989 (1988).
55. R.J. Hunter, Foundation of Colloid Science, Vol. 1 (Clarendon Press, Oxford, 1992).
56. J.N. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 1992).
57. L.M. Pismen, Y. Pomeau, Phys. Rev. E 62, 2480 (2000).
58. D.M. Anderson, G.B. McFadden, A.A. Wheeler, Annu. Rev. Fluid Mech. 30, 139 (1998).
59. A. Sharma, A.T. Jameel, J. Colloid Interface Sci. 161, 190 (1993).
60. A.T. Jammel, A. Sharma, J. Colloid Interface Sci. 164, 416 (1994).
61. A. Sharma, R. Khanna, J. Chem. Phys. 110, 4929 (1999).
62. A. Novick-Cohen, J. Stat. Phys. 38, 707 (1985).
63. K. Kargupta, A. Sharma, Langmuir 18, 1893 (2002).
64. R. Bausch, R. Blossey, M. Burschka, J. Phys. A 27, 1405 (1994).
65. U. Thiele, M. Mertig, W. Pompe, Phys. Rev. Lett. 80, 2869 (1998).
66. J. Bischof, D. Scherer, S. Herminghaus, P. Leiderer, Phys. Rev. Lett. 77, 1536 (1996).
67. K. Kawasaki, T. Ohta, Physica A 116, 573 (1982).
68. J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurkations of Vector Fields, in Applied Mathematical Sciences, Vol. 42 (Springer-Verlag, Berlin, 1993).
69. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961).
70. A. Schmiegel, B. Eckhardt, Phys. Rev. Lett. 79, 5250 (1997).
71. D.E. Kataoka, S.M. Troian, Nature 402, 794 (1999).
72. L. Kondic, J.A. Diez, Phys. Rev. E 65, 045301 (2002).