Wetting transition on patterned surfaces: Transition states and energy barriers

Langmuir

Volumn 30, Issue 10, 2014, Pages 2879-2885

  Ren, Weiqing ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY BARRIERS; HYDROPHOBICITY; LIQUIDS; TEXTURES;

HYDROPHOBIC SURFACES; LATERAL PROPAGATION; META-STABLE STATE; MINIMUM ENERGY PATHS; NUMERICAL RESULTS; PATTERNED SURFACE; SOLID SUBSTRATES; WETTING TRANSITIONS;

WETTING;

EID: 84899013838     PISSN: 07437463     EISSN: 15205827     Source Type: Journal    
DOI: 10.1021/la404518q     Document Type: Article

References (42)

1. de Gennes, P. G.; Brochard-Wyart, F.; Quéré, D. Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves; Springer: New York, 2003.
2. Cassie, A. B. D.; Baxter, S. Wettability of porous surfaces Trans. Faraday Soc. 1944, 40, 546
3. Sbragaglia, M.; Peters, A. M.; Pirat, C.; Borkent, B. M.; Lammertink, R. G. H.; Wessling, M.; Lohse, D. Spontaneous breakdown of superhydrophobicity Phys. Rev. Lett. 2007, 99, 156001
4. Bormashenko, E.; Pogreb, R.; Whyman, G.; Bormashenko, Y.; Erlich, M. Vibration-induced Cassie-Wenzel wetting transition on rough surfaces Appl. Phys. Lett. 2007, 90, 201917
5. Yoshimitsu, Z.; Nakajima, A.; Watanabe, T.; Hashimoto, K. Effects of surface structure on the hydrophobicity and sliding behavior of water droplets Langmuir 2002, 18, 5818-5822
6. He, B.; Patankar, N. A.; Lee, J. Multiple equilibrium droplets shapes and design criterion for rough hydrophobic surfaces Langmuir 2003, 19, 4999
7. Bico, J.; Marzolin, C.; Quéré, D. Pearl drops Europhys. Lett. 1999, 47, 220
8. Wenzel, R. N. Resistance of solid surfaces to wetting by water Ind. Eng. Chem. 1936, 28, 988-994
9. Koishi, T.; Yasuoka, K.; Fujikawa, S.; Ebisuzaki, T.; Zeng, X. C. Coexistence and transition between Cassie and Wenzel state on pillared hydrophobic surface Proc. Natl. Acad. Sci. U. S. A. 2009, 106, 8435
10. Giacomello, A.; Meloni, S.; Chinappi, M.; Casciola, C. M. Cassie-Baxter and Wenzel states on a nanostructured surface: Phase diagram, metastabilities, and transition mechanism by atomistic free energy calculations Langmuir 2012, 28, 10764-10772
11. Giacomello, A.; Chinappi, M.; Meloni, S.; Casciola, C. M. Metastable wetting on superhydrophobic surfaces: Continuum and atomistic views of the Cassie-Wenzel transition Phys. Rev. Lett. 2012, 109, 226102
12. Savoy, E. S.; Escobedo, F. A. Molecular simulations of wetting of a rough surface by an oily fluid: Effect of topology, chemistry, and droplet size on wetting transition rates Langmuir 2012, 28, 3412-3419
13. Savoy, E. S.; Escobedo, F. A. Simulation study of free-energy barriers in the wetting transition of an oily fluid on a rough surface with reentrant geometry Langmuir 2012, 28, 16080-16090
14. Marmur, A. Wetting on hydrophobic rough surfaces: To be heterogeneous or not to be? Langmuir 2003, 19, 8343
15. Marmur, A. The lotus effect: Super-hydrophobicity and metastability Langmuir 2004, 20, 3517-3519
16. Patankar, N. A. On the modeling of hydrophobic contact angles on rough surfaces Langmuir 2003, 19, 1249
17. Patankar, N. A. Transition between superhydrophobic states on rough surfaces Langmuir 2004, 20, 7097-7102
18. Patankar, N. A. Consolidation of hydrophobic transition criteria by using an approximate energy minimization approach Langmuir 2010, 26, 8941-8945
19. Ishino, C.; Okumura, K.; Quéré, D. Wetting transitions on rough surfaces Europhys. Lett. 2004, 68, 419-425
20. Ishino, C.; Okumura, K. Nucleation scenario for wetting transition on textured surfaces: The effect of contact angle hysteresis Europhys. Lett. 2006, 76, 464-470
21. Peters, A. M.; Pirat, C.; Sbragaglia, M.; Borkent, B. M.; Wessling, M.; Lohse, D.; Lammertink, R. G. H. Cassie-Baxter to Wenzel state wetting transition: Scaling of the front velocity Eur. Phys. J. E 2009, 29, 391
22. Eyring, H. The activated complex in chemical reactions J. Chem. Phys. 1935, 3, 107
23. Wigner, E. The transition state method Trans. Faraday Soc. 1938, 34, 29-41
24. Horiuti, J. On the statistical mechanical treatment of the absolute rate of the chemical reaction Bull. Chem. Soc. Jpn. 1938, 13, 210
25. E, W.; Ren, W.; Vanden-Eijnden, E. String method for the study of rare events Phys. Rev. B 2002, 66, 052301
26. E, W.; Ren, W.; Vanden-Eijnden, E. Simplified and improved string method for computing the minimum energy paths in barrier-crossing events J. Chem. Phys. 2007, 126, 164103
27. Ren, W.; Vanden-Eijnden, E. A climbing string method for saddle point search J. Chem. Phys. 2013, 138, 134105
28. Freidlin, M. I.; Wentzell, A. D. Random Perturbations of Dynamical Systems, 2 nd ed.; Springer: New York, 1998.
29. Crippen, G. M.; Scheraga, H. A. Minimization of polypeptide energy: Xi. The method of gentlest ascent Arch. Biochem. Biophys. 1971, 144, 462
30. Cerjan, C. J.; Miller, W. H. On finding transition states J. Chem. Phys. 1981, 75, 2800
31. Simons, J.; Jorgensen, P.; Taylor, H.; Ozment, J. Walking on potential energy surfaces J. Phys. Chem. 1983, 87, 2745
32. Bell, S.; Crighton, J. S. Locating transition states J. Chem. Phys. 1984, 80, 2464
33. Banerjee, A.; Adams, N.; Simons, J.; Shepard, R. Search for stationary points on surfaces J. Phys. Chem. 1985, 89, 52
34. Baker, J. An algorithm for the location of transition states J. Comput. Chem. 1986, 7, 385
35. Ayala, P. Y.; Schlegel, H. B. A combined method for determining reaction paths, minima, and transition state geometries J. Chem. Phys. 1997, 107, 375
36. Munro, L. J.; Wales, D. J. Defect migration in crystalline silicon Phys. Rev. B 1999, 59, 3969
37. 10 and defect migration in crystalline silicon Chem. Phys. Lett. 2001, 185, 341
38. Mousseau, N.; Barkema, G. T. Traveling through potential energy landscapes of disordered materials: The activation-relaxation technique Phys. Rev. E 1998, 57, 2419
39. Henkelman, G.; Jónsson, H. A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives J. Chem. Phys. 1999, 111, 7010
40. E, W.; Zhou, X. The gentlest ascent dynamics Nonlinearity 2011, 24, 1831
41. Zhang, J.; Du, Q. Shrinking dimer dynamics and its applications to saddle points search SIAM J. Numer. Anal. 2012, 50, 1899
42. Borcia, R.; Borcia, I. D.; Bestehorn, M. Drops on an arbitrarily wetting substrate: A phase field description Phys. Rev. E 2008, 78, 066307