Generalized mechanical equilibrium condition for multiphase contact lines and multiphase contact points

Langmuir

Volumn 19, Issue 11, 2003, Pages 4658-4665

  Shadnam, Mohammad R ^a   Amirfazli, Alidad ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

LAPLACE EQUATION; MECHANICAL EQUILIBRIUM; MULTIPHASE CONTACT LINES; MULTIPHASE CONTACT POINTS; PLANAR POLYGON;

CALCULATIONS; FREE ENERGY; PHASE INTERFACES; THERMODYNAMICS; THIN FILMS;

PHASE EQUILIBRIA;

EID: 0037567393     PISSN: 07437463     EISSN: None     Source Type: Journal    
DOI: 10.1021/la0264421     Document Type: Article

References (36)

1. Miliutin, A. A.; Providence, R. I. Calculus of Variations and Optimal Control; American Mathematical Society: New York, 1998.
2. Nitsche, J. C. C. Lectures on Minimal Surfaces; Cambridge University Press: New York, 1989; Vol. 1.
3. Kaveh, A. Comput. Methods Appl. Mech. Eng. 1984, 20, 983-998.
4. Kaveh, A. Optimal Structural Analysis; Research Studies Press: London, 1997.
5. Schneider, P. J. Conduction Heat Transfer; Addison-Wesley: Cambridge, MA, 1957.
6. Boresi, A. P.; Schmidt, R. J.; Sidebottom, O. M. Advanced Mechanics of Materials; John Wiley: New York, 1993.
7. Derjaguin, B. V.; Churaev, N. V. Kolloidn. Zh. 1976, 38, 438-448.
8. Adamson, A. W. Physical Chemistry of Surfaces; John Wiley: New York, 1990.
9. Gibbs, J. W. The Scientific Papers of J. Willard Gibbs; Dover: New York, 1961, Vol. 1.
10. Donnan, F. G. A Commentary on the Scientific Writings of J. Willard Gibbs; Yale University Press: New Haven, CT, 1936; Vol. 1.
11. Gaydos, J.; Boruvka, L.; Neumann, A. W. Langmuir 1991, 7, 1035-1038.
12. Callen, H. B. Thermodynamics: an introduction to thermo statistics; John Wiley: New York, 1985.
13. Defay, R.; Prigogine, I. Surface Tension and Adsorption; Longman: London, 1966.
14. Buff, F. P. J. Chem. Phys. 1956, 25, 146.
15. Buff, F. P.; Saltsburg, H. J. Chem. Phys. 1957, 26, 23.
16. Buff, F. P.; Saltsburg, H. J. Chem. Phys. 1957, 26, 1526.
17. Boruvka, L.; Neumann, A. W. J. Chem. Phys. 1977, 66, 5464-5476.
18. Chen, P.; Gaydos, J.; Neumann, A. W. Langmuir 1996, 12, 5956-5962.
19. Amirfazli, A.; Hänig, S.; Müller, A.; Neumann, A. W. Langmuir 1997, 16, 2024-2031.
20. Chen, P.; Susnar, S. S.; Amirfazli, A.; Mak, C.; Neumann, A. W. Langmuir 1997, 13, 3035-3042.
21. Amirfazli, A.; Chatain, D.; Neumann, A. W. Colloids Surf., A 1998, 142, 183-188.
22. Scheludko, A.; Toshev, B. V.; Platikanov, D. In The Modern Theory of Capillarity; Goodrich, F. C., Rusanov, A. I., Eds.; Akademie-Verlag: Berlin, 1981; p 163.
23. Pompe, T.; Herminghaus, S. Phys. Rev. Lett. 2000, 85, 1930-1933.
24. Matzke, E. B. Am. J. Bot. 1946, 33, 58-80.
25. Adams, W. W.; Goldstein, L. J. Introduction to Number Theory; Prentice Hall: Englewood Cliffs, NJ, 1976.
26. Salas, S. L.; Hille, E.; Garret, J. E. Salas and Hille's calculus: several variables; John Wiley: New York, 1995.
27. Boruvka, L.; Rotenberg, Y.; Neumann, A. W. Langmuir 1985, 1, 40.
28. Boruvka, L.; Rotenberg, Y.; Neumann, A. W. J. Phys. Chem.1985, 89, 2714.
29. Boruvka, L.; Rotenberg, Y.; Neumann, A. W. J. Phys. Chem. 1986, 90, 125.
30. Weatherburn, C. E. Differential geometry of three dimensions; Cambridge University Press: Cambridge, U.K., 1930; Vol. 1.
31. Duncan, D.; Li, D.; Gaydos, J.; Neumann, A. W. J. Colliod Interface Sci. 1995, 169, 256.
32. Gaydos, J.; Neumann, A. W.; In Applied Surface Thermodynamics; Neumann, A. W., Spelt, J. K., Eds.; Marcel Dekker: New York, 1996; Chapter 4.
33. Amirfazli, A.; Neumann, A. W. Adv. Colloid Interface Sci. in preparation.
34. Taylor, J. E. Ann. Math. 1974, 103, 489.
35. Widom, B. Mol. Phys. 1999, 96, 1019.
36. Van Giessen, A. E.; Bukman, D. J.; Widom, B. Mol. Phys. 1999, 96, 1335.