Small droplets on superhydrophobic substrates

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 5, 2010, Pages

  Gross, Markus ^a,b   Varnik, Fathollah ^a,b   Raabe, Dierk ^b   Steinbach, Ingo ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; DROPLET BEHAVIORS; DROPLET SIZES; EVAPORATION PROCESS; FINITE DEPTH; FREE-ENERGY MODEL; HYDROPHOBIC SUBSTRATE; LIQUID DROPLETS; QUALITATIVE ASPECTS; SMALL DROPLETS; SUPERHYDROPHOBIC; SUPERHYDROPHOBICITY; SURFACE ASPERITIES; THEORETICAL MODELS; WENZEL STATE; WETTING BEHAVIOR; WETTING PROPERTY;

HYDROPHOBICITY; SUBSTRATES; THREE DIMENSIONAL; WETTING;

DROP FORMATION;

EID: 77953090489     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.051606     Document Type: Article

References (52)

1. T. Onda, S. Shibuichi, N. Satoh, and K. Tsujii, Langmuir 12, 2125 (1996). 10.1021/la950418o
2. C. Neinhuis and W. Barthlott, Ann. Bot. (London) 79, 667 (1997). 10.1006/anbo.1997.0400
3. D. Öner and] T. McCarthy, Langmuir 16, 7777 (2000). 10.1021/la000598o
4. D. Quéré, Annu. Rev. Mater. Res. 38, 71 (2008). 10.1146/annurev.matsci.38.060407.132434
5. C. Dorrer and J. Rühe, Soft Matter 5, 51 (2009). 10.1039/b811945g
6. Note that with "equilibrium" we refer to mechanical equilibrium, which requires a local minimum of the free energy and hence in general corresponds to a metastable state. In contrast, thermodynamic equilibrium is usually understood as referring to the global minimum of free energy.
7. A. B. D. Cassie and S. Baxter, Trans. Faraday Soc. 40, 546 (1944). 10.1039/tf9444000546
8. R. N. Wenzel, Ind. Eng. Chem. 28, 988 (1936). 10.1021/ie50320a024
9. J. Bico, U. Thiele, and D. Quéré, Colloids Surf., A 206, 41 (2002). 10.1016/S0927-7757(02)00061-4
10. R. E. Johnson and R. H. Dettre, Contact Angle, Wettability and Adhesion (American Chemical Society, Washington, D.C., 1964), Vol. 43, pp. 112-135. 10.1021/ba-1964-0043.ch007
11. J. Bico, C. Marzolin, and D. Quéré, EPL 47, 743 (1999). 10.1209/epl/i1999-00453-y
12. Z. Yoshimitsu, A. Nakajima, T. Watanabe, and K. Hashimoto, Langmuir 18, 5818 (2002). 10.1021/la020088p
13. G. Carbone and L. Mangialardi, Eur. Phys. J. E 16, 67 (2005). 10.1140/epje/e2005-00008-y
14. A. Lafuma and D. Quéré, Nature Mater. 2, 457 (2003). 10.1038/nmat924
15. B. He, N. A. Patankar, and J. Lee, Langmuir 19, 4999 (2003). 10.1021/la0268348
16. A. Marmur, Langmuir 20, 3517 (2004). 10.1021/la036369u
17. N. A. Patankar, Langmuir 20, 7097 (2004). 10.1021/la049329e
18. C. Ishino, K. Okumura, and D. Quéré, EPL 68, 419 (2004). 10.1209/epl/i2004-10206-6
19. T. Koishi, Proc. Natl. Acad. Sci. U.S.A. 106, 8435 (2009). 10.1073/pnas.0902027106
20. D. Bartolo, F. Bouamrirene, E. Verneuil, A. Buguin, P. Silberzan, and S. Moulinet, EPL 74, 299 (2006). 10.1209/epl/i2005-10522-3
21. M. Reyssat, A. Pépin, F. Marty, Y. Chen, and D. Quéré, EPL 74, 306 (2006). 10.1209/epl/i2005-10523-2
22. J. Hyväluoma and J. Timonen, EPL 83, 64002 (2008). 10.1209/0295-5075/83/64002
23. S. Moulinet and D. Bartolo, Eur. Phys. J. E 24, 251 (2007). 10.1140/epje/i2007-10235-y
24. H. Kusumaatmaja, M. L. Blow, A. Dupuis, and J. M. Yeomans, EPL 81, 36003 (2008). 10.1209/0295-5075/81/36003
25. G. McHale, S. Aqil, N. Shirtcliffe, M. I. Newton, and H. Y. Erbil, Langmuir 21, 11053 (2005). 10.1021/la0518795
26. M. Reyssat, J. M. Yeomans, and D. Quéré, EPL 81, 26006 (2008). 10.1209/0295-5075/81/26006
27. C. Cottin-Bizonne, C. Barentin, E. Charlaix, L. Bocquet, and J. L. Barrat, Eur. Phys. J. E 15, 427 (2004). 10.1140/epje/i2004-10061-9
28. P. S. Swain and R. Lipowsky, Langmuir 14, 6772 (1998). 10.1021/la980602k
29. G. Wolansky and A. Marmur, Colloids Surf., A 156, 381 (1999). 10.1016/S0927-7757(99)00098-9
30. J. Jopp, H. Grüll, and R. Yerushalmi-Rozen, Langmuir 20, 10015 (2004). 10.1021/la0497651
31. D. Quéré, Rep. Prog. Phys. 68, 2495 (2005). 10.1088/0034-4885/68/11/R01
32. K. K. S. Lau, Nano Lett. 3, 1701 (2003). 10.1021/nl034704t
33. R. D. Narhe and D. A. Beysens, Langmuir 23, 6486 (2007). 10.1021/la062021y
34. M. Gross, F. Varnik, and D. Raabe, EPL 88, 26002 (2009). 10.1209/0295-5075/88/26002
35. A. J. Briant, A. J. Wagner, and J. M. Yeomans, Phys. Rev. E 69, 031602 (2004). 10.1103/PhysRevE.69.031602
36. A. Dupuis and J. M. Yeomans, Langmuir 21, 2624 (2005). 10.1021/la047348i
37. F. Varnik, Phys. Fluids 20, 072104 (2008). 10.1063/1.2963958
38. N. Moradi, F. Varnik, and I. Steinbach (unpublished).
39. R. Blossey, Nature Mater. 2, 301 (2003). 10.1038/nmat856
40. M. R. Swift, W. R. Osborn, and J. M. Yeomans, Phys. Rev. Lett. 75, 830 (1995). 10.1103/PhysRevLett.75.830
41. P. G. de Gennes, Rev. Mod. Phys. 57, 827 (1985). 10.1103/RevModPhys.57. 827
42. J. W. Cahn, J. Chem. Phys. 66, 3667 (1977). 10.1063/1.434402
43. D. Raabe, Modell. Simul. Mater. Sci. Eng. 12, R13 (2004). 10.1088/0965-0393/12/6/R01
44. S. Succi and J. M. Yeomans, Phys. Today 55 (12), 58 (2002). 10.1063/1.1537916
45. J. W. Gibbs, Scientific Papers 1906 (Dover, New York, 1961), Dover reprint.
46. M. Sbragaglia, A. M. Peters, C. Pirat, B. M. Borkent, R. G. H. Lammertink, M. Wessling, and D. Lohse, Phys. Rev. Lett. 99, 156001 (2007). 10.1103/PhysRevLett.99.156001
47. M. Nosonovsky and B. Bhushan, Nano Lett. 7, 2633 (2007). 10.1021/nl071023f
48. Y. C. Jung and B. Bhushan, Scr. Mater. 57, 1057 (2007). 10.1016/j.scriptamat.2007.09.004
49. This is a consequence of the assumption that the droplet remains pinned to the edges of the pillars.
50. M. R. Swift, E. Orlandini, W. R. Osborn, and J. M. Yeomans, Phys. Rev. E 54, 5041 (1996). 10.1103/PhysRevE.54.5041
51. H. Y. Erbil, G. McHale, and M. I. Newton, Langmuir 18, 2636 (2002). 10.1021/la011470p
52. Y. C. Jung and B. Bhushan, J. Microsc. 229, 127 (2008). 10.1111/j.1365-2818.2007.01875.x