Absolute limit for the capillary rise of a fluid

EPL

Volumn 82, Issue 5, 2008, Pages

  Caupin, Frédéric ^a   Cole, Milton W ^a,b   Balibar, Sébastien ^a   Treiner, Jacques ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051470231     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/82/56004     Document Type: Article

References (45)

1. de Gennes P.-G., Brochard-Wyart F. and Quéré D. 2005 Gouttes, bulles, perles et ondes 2nd edition (Paris: Belin)
2. de Gennes P.-G., Brochard-Wyart F. and Quéré D. 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (New York: Springer)
3. Caupin F. 2005 Phys. Rev. E 71 051605
4. Moldover M. and Gammon R. 1983 J. Chem. Phys. 80 528
5. de Gennes P.-G. 1985 Rev. Mod. Phys. 57 827
6. Evans R. 1992 Fundamentals of Inhomogeneous Fluids ed D. Henderson (New York: Dekker)
7. Landau L. D. and Lifshitz E. M. 1958 Statistical Physics (London: Pergamon) sect. 146
8. Dzyaloshinskii I. E., Lifshitz E. M. and Pitaevskii L. P. 1961 Adv. Phys. 10 165
9. Cheng E. and Cole M. W. 1988 Phys. Rev. B 38 987
10. Joanny J. F. and de Gennes P.-G. 1984 C. R. Acad. Sci. Paris 299 605
11. Bruch L. W., Cole M. W. and Zaremba E. 2007 Physical Adsorption: Forces and Phenomena (Mineola, NY: Dover)
12. Schmeits M. and Lucas A. A. 1983 Prog. Surf. Sci. 14 1
13. Kostov M. K., Cole M. W., Lewis J. C., Diep P. and Johnson J. K. 2000 Chem. Phys. Lett. 332 26
14. Kim H. Y., Gatica S. M. and Cole M. W. 2007 J. Phys. Chem. A 111 12439
15. The properties of these adsorbed phases at finite temperature T have been studied exhaustively. See, e.g. Davis H. T. 1996 Statistical Mechanics of Phases, Interfaces and Thin Films (VCH: New York). However, for simplicity, we focus on T=0.
16. See ref.[7], table 5.2
17. Bruch L. W., Cohen P. I. and Webb M. B. 1976 Surf. Sci. 59 1.
18. The approximation of energy additivity, eq.(5), is accurate for classical gases at low T, while for quantum gases there are small corrections associated with the zero-point motion perpendicular to the plane; see Annett J. F., Cole M. W., Shaw P. B. and Stratt R. M. 1991 J. Low Temp. Phys. 84 1
19. See, for instance, Schwerdtfeger P., Gaston N., Krawczyk R. P., Tonner R. and Moyano G. E. 2006 Phys. Rev. B 73 064112
20. See ref.[7], table A3
21. Berry R. S., Rice S. A. and Ross J. 2000 Physical Chemistry (Oxford: Oxford University Press) Table 21.13
22. Pérez-Pellitero J., Ungerer P., Orkoulas G. and Mackie A. D. 2006 J. Chem. Phys. 125 054515
23. 1 is larger on MgO than on graphite (see table 1)
24. 2/ζ(12)]ε≃1.0347 ε. See Bruch L. W. 2005 Surf. Sci. 585 135
25. Curtarolo S., Stan G., Bojan M. J., Cole M. W. and Steele W. A. 2000 Phys. Rev. E 61 1670
26. Cheng E. et al 1993 Phys. Rev. B 48 18214
27. Gatica S. M., Zhao X., Johnson. J. K. and Cole M. W. 2004 J. Phys. Chem. B 108 11704
28. Zhao X. 2007 Phys. Rev. B 76 041402
29. Kolesnikov A. I. et al 2004 Phys. Rev. Lett. 93 035503
30. Striolo A., Chialvo A. A., Gubbins K. E. and Cummings P. T. 2005 J. Chem. Phys. 122 234712
31. Bruch L. W. 1991 Phase Transitions in Surface Films 2nd edition ed H. Taub, G. Torzo, H. J. Lauter and S. C. jr. Fain (New York: Plenum) 67
32. Kim H.-Y. and Cole M. W. 1988 Surf. Sci. 194 257
33. Kim H.-Y. and Cole M. W. 1987 Phys. Rev. B 35 3990
34. Lambin Ph., Lucas A. A. and Vigneron J.-P. 1992 Phys. Rev. B 46 1794
35. *=3.8. However, experiments and more accurate modeling find that water does not wet graphite. A wetting transition is predicted to occur near 505 K [19,20]
36. Joanny J. F. and de Gennes P.-G. 1986 J. Phys. 47 121
37. Lucas R. 1918 Kolloid Z. 23 15
38. Washburn E. W. 1921 Phys. Rev. 17 273
39. Gelb L. D. and Hopkins A. C. 2002 Nano Lett. 2 1281
40. Dimitrov D. I., Milchev A. and Binder K. 2007 Phys. Rev. Lett. 99 054501
41. Nomura R., Miyashita W., Yoneyama K. and Okuda Y. 2006 Phys. Rev. E 73 032601
42. Huber P., Knorr K. and Kityk A. V. 2006 Mater. Res. Soc. Symp. Proc. 899E N7
43. Huber P., Knorr K. and Kityk A. V. 2007 Eur. Phys. J. ST 141 101
44. Depountis N. et al 2001 Eng. Geol. 60 95
45. Cochard H. 2006 C. R. Phys. 7 1018