Substrate-mediated pattern formation in monolayer transfer: A reduced model

New Journal of Physics

Volumn 14, Issue , 2012, Pages

  Kopf M H ^a   Gurevich, S V ^a   Friedrich, R ^a   Thiele, U ^b  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION DIAGRAM; CAHN-HILLIARD EQUATION; CONTINUATION METHOD; CRITICAL VELOCITIES; HOMOCLINIC; PATTERN FORMATION; PHASE DECOMPOSITIONS; REDUCED MODEL; SOLID SUBSTRATES; SPATIOTEMPORAL PATTERNS; STATIONARY SOLUTIONS; STRIPE PATTERN; SURFACTANT MONOLAYERS; TIME-PERIODIC SOLUTIONS; TRANSFER VELOCITY; WATER SURFACE;

HOPF BIFURCATION; MONOLAYERS; STABILITY CRITERIA; SURFACE ACTIVE AGENTS;

SUBSTRATES;

EID: 84857516590     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/2/023016     Document Type: Article

References (60)

1. Gleiche M, Chi L F and Fuchs H 2000 Nature 403 173
2. Chen X, Hirtz M, Fuchs H and Chi L F 2007 Langmuir 23 2280
3. Chen X, Lenhert S, Hirtz M, Lu N, Fuchs H and Chi L F 2007 Acc. Chem. Res. 40 393
4. Chen X, Lu N, Zhang H, Hirtz M, Wu L, Fuchs H and Chi L F 2006 J. Phys. Chem. B 110 8039
5. Hirtz M, Fuchs H and Chi L F 2008 J. Phys. Chem. B 112 824
6. Lenhert S, Zhang L, Mueller J, Wiesmann H P, Erker G, Fuchs H and Chi L F 2004 Adv. Mater. 16 619
7. Lenhert S, Gleiche M, Fuchs H and Chi L F 2005 Chem. Phys. Chem. 6 2495
8. Kovalchuk V I and Vollhardt D 2005 Adv. Colloid Interface Sci. 114-5 267
9. Kovalchuk V I, Bondarenko M P, Zholkovskiy E K and Vollhardt D 2003 J. Phys. Chem. B 107 3486
10. Mahnke J, Vollhardt D, Stöckelhuber K W, Meine K and Schulze H J 1999 Langmuir 15 8220
11. Kurnaz M L and Schwartz D K 1996 J. Phys. Chem. 100 11113
12. Leporatti S, Brezesinski G and Möhwald H 2000 Colloids Surf. A 161 159
13. Graf K and Riegler H 1998 Colloids Surf. A 131 215
14. Spratte K and Riegler H 1994 Langmuir 10 3161
15. Spratte K, Chi L F and Riegler H 1994 Europhys. Lett. 25 211
16. Riegler H and Spratte K 1992 Thin Solid Films 210-211 9
17. Moraille P and Badia A 2002 Langmuir 18 4414
18. Tang Y W and Badia A 2010 Langmuir 26 17058
19. Köpf M H, Gurevich S V, Friedrich R and Chi L F 2010 Langmuir 26 10444
20. Köpf M H, Gurevich S V and Friedrich R 2011 Phys. Rev. E 83 016212
21. Oron A, Davis S H and Bankoff S G 1997 Rev. Mod. Phys. 69 931
22. Cahn J W and Hilliard J E 1958 J. Chem. Phys. 28 258
23. Köpf M H, Gurevich S V and Friedrich R 2009 Eur. Phys. Lett. 86 66003
24. Cahn J W 1965 J. Chem. Phys. 42 93
25. Krekhov A 2009 Phys. Rev. E 79 035302
26. Foard E M and Wagner A J 2009 Phys. Rev. E 79 056710
27. Yabu H and Shimomura M 2005 Adv. Funct. Mater. 15 575
28. De Gennes P G 1985 Rev. Mod. Phys. 57 827
29. Israelachvili J N 2011 Intermolecular and Surface Forces (London: Academic)
30. Pismen L M 2004 Phys. Rev. E 70 021601
31. Thiele U, Vancea I, Archer A J, Robbins M J, Frastia L, Stannard A, Pauliac-Vaujour E, Martin C P, Blunt M O and Moriarty P J 2009 J. Phys.: Condens. Matter 21 264016
32. Thiele U 2007 Thin Films of Soft Matter ed S Kalliadasis and U Thiele (Vienna: Springer) p 25
33. Pismen L M 2001 Phys. Rev. E 64 021603
34. Pismen L M and Eggers J 2008 Phys. Rev. E 78 056304
35. Pismen L M 2010 Phys. Rev. E 81 026307
36. Köpf M H, Gurevich S V, Wulf T and Friedrich R 2011 Phys. Rev. E 83 040601
37. Press W H 1999 Numerical Recipes in C (Cambridge: Cambridge University Press)
38. Micikevicius P 2009 Proc. 2nd Workshop on General Purpose Processing on Graphics Processing Units (New York: ACM) p 79
39. Keller H B 1977 Numerical Solution of Bifurcation and Nonlinear Eigenvalue Problems (New York: Academic) p 359
40. Swift J and Hohenberg P C 1977 Phys. Rev. A 15 319
41. Burke J and Knobloch E 2006 Phys. Rev. E 73 056211
42. Burke J and Knobloch E 2007 Chaos 17 037102
43. Knobloch E 2008 Nonlinearity 21 T45-60
44. Strogatz S H 2000 Nonlinear Dynamics and Chaos (Cambridge, MA: Westview Press)
45. Gaspard P 1990 J. Phys. Chem. 94 1
46. Beltrame P, Knobloch E, Hänggi P and Thiele U 2011 Phys. Rev. E 83 016305
47. Thiele U and Knobloch E 2006 New J. Phys. 8 313
48. Beltrame P, Hänggi P and Thiele U 2009 Europhys. Lett. 86 24006
49. Kuramoto Y 2003 Chemical Oscillations, Waves, and Turbulence (New York: Dover)
50. Haken H 2004 Synergetics-Introduction and Advanced Topics (Berlin: Springer)
51. Pismen L M 2006 Patterns and Interfaces in Dissipative Systems (Berlin: Springer)
52. Ovsyannikov I M and Shil'nikov L P 1992 Math. USSR-Sb. 73 415
53. van Saarloos W 2003 Phys. Rep. 386 29
54. Huang J, Kim F, Tao A R, Connor S and Yang P 2005 Nat. Mater. 4 896
55. Deegan R D, Bakajin O, Dupont T F, Huber G, Nagel S R and Witten T A 1997 Nature 389 827
56. Deegan R D, Bakajin O, Dupont T F, Huber G, Nagel S R and Witten T A 2000 Phys. Rev. E 62 756
57. Bigioni T P, Lin X M, Nguyen T T, Corwin E I, Witten T A and Jaeger H M 2006 Nat. Mater. 5 265
58. Li L et al 2010 J. Am. Chem. Soc. 132 8807
59. Frastia L, Archer A J and Thiele U 2011 Phys. Rev. Lett. 106 077801
60. Friedrich R, Radons G, Ditzinger T and Henning A 2000 Phys. Rev. Lett. 85 4884