Exact Poisson-Boltzmann solution for the interaction of dissimilar charge-regulating surfaces

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages 7040-7048

  Behrens, Sven Holger ^a,b   Borkovec, Michal ^a  

^a CLARKSON UNIVERSITY   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000885382     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.7040     Document Type: Article

References (47)

1. J. Israelachvili, Intermolecular & Surface Forces, 2nd ed. (Academic Press, London, 1991).
2. J. Israelachvili, J. Chem. Soc., Faraday Trans. 1 74, 975 (1978).
3. R.M. Pashley, J. Colloid Interface Sci. 83, 531 (1981).
4. J. Israelachvili and R.M. Pashley, Nature (London) 306, 249 (1983).
5. R.G. Horn, D.R. Clarke, and M.T. Clarkson, J. Mater. Res. 3, 413 (1988).
6. G. Binnig, C. Quate, and G. Gerber, Phys. Rev. Lett. 56, 930 (1986).
7. H.-J. Butt, M. Jaschke, and W. Ducker, Biochem. Bioenerg. 38, 191 (1995).
8. I. Larson, C.J. Drummond, D.Y.C. Chan, and F. Grieser, J. Phys. Chem. 99, 2114 (1995).
9. G. Toikka, R.A. Hayes, and J. Ralston, J. Chem. Soc., Faraday Trans. 93, 3523 (1997).
10. I. Larson, C.J. Drummond, D.Y.C. Chan, and F. Grieser, Langmuir 13, 2109 (1997).
11. P. Hartley, I. Larson, and P.J. Scales, Langmuir 13, 2207 (1997).
12. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, 1989).
13. B.V. Derjaguin and L. Landau, Acta Physicochim. URSS. 14, 633 (1941).
14. E. J. W. Verwey and J. Th. G. Overbeek, Theory of the Stability of Lyophobic Colloids (Elsevier, Amsterdam, 1948).
15. L. Guldbrand, B. Jönsson, H. Wennerström, and P. Linse, J. Phys. Chem. 80, 2221 (1984).
16. B.W. Ninham and V.A. Parsegian, J. Theor. Biol. 31, 405 (1971).
17. D.Y.C. Chan, J.W. Perram, L.R. White, and T.W. Healy, J. Chem. Soc., Faraday Trans. 1 71, 1046 (1975).
18. D.Y.C. Chan, T.W. Healy, and L.R. White, J. Chem. Soc., Faraday Trans. 1 72, 2844 (1976).
19. D.C. Prieve and E. Ruckenstein, J. Theor. Biol. 56, 205 (1976).
20. D.C. Prieve and E. Ruckenstein, J. Colloid Interface Sci. 60, 337 (1977).
21. D.C. Prieve and E. Ruckenstein, J. Colloid Interface Sci. 63, 317 (1978).
22. T.W. Healy, D. Chan, and L.R. White, Pure Appl. Chem. 52, 1207 (1980).
23. G.M. Bell and G.C. Peterson, Can. J. Chem. 59, 1888 (1981).
24. D.Y.C. Chan and D.J. Mitchell, J. Colloid Interface Sci. 95, 193 (1983).
25. D. Y. C. Chan, in Geochemical Processes at Mineral Surfaces, edited by J. A. Davis and K. F. Hayes, ACS Symposium Series (American Chemical Society, Washington, DC, 1986) Vol. 323, p. 99.
26. I.M. Metcalfe and T.W. Healy, Faraday Discuss. Chem. Soc. 90, 335 (1990).
27. J.W. Krozel and D.A. Saville, J. Colloid Interface Sci. 150, 365 (1992).
28. S.L. Carnie and D.Y.C. Chan, J. Colloid Interface Sci. 155, 297 (1993).
29. S.L. Carnie and D.Y.C. Chan, J. Colloid Interface Sci. 161, 260 (1993).
30. A. Grabbe, Langmuir 9, 797 (1993).
31. E.S. Reiner and C.J. Radke, Adv. Colloid Interface Sci. 47, 59 (1993).
32. S.L. Carnie, D.Y.C. Chan, and J.S. Gunning, Langmuir 9, 797 (1993).
33. D. McCormack, S.L. Carnie, and D.Y.C. Chan, J. Colloid Interface Sci. 169, 177 (1995).
34. J. Stankovich and S.L. Carnie, Langmuir 12, 1453 (1996).
35. J.P. Hsu and Y.C. Kuo, J. Colloid Interface Sci. 183, 194 (1996).
36. J. Stahlberg and B. Jönsson, Anal. Chem. 68, 1536 (1996).
37. N.S. Pujar and A.L. Zydney, J. Colloid Interface Sci. 192, 338 (1997).
38. S.H. Behrens and M. Borkovec, J. Phys. Chem. B 103, 2918 (1999).
39. The following analysis can, in principle, be extended to cover systems with asymmetric electrolytes. However, such an extension might be of doubtful value, since for those systems the neglect of ion correlations leads to a much poorer description of the true electrostatic potential, see J. Uhlander and R. Kjellander, J. Chem. Phys. 109, 9508 (1998).
40. M. Abramowitz and A. Stegun, Handbook of Mathematical Functions, 9th ed. (Dover Publications, New York, 1972);I. S. Gradshteyn and I. M. Ryzhik Table of Integrals, Series, and Products Academic Press, San Diego, 1979 (Corrected and enlarged edition).
41. Calculations presented below used the NAG Fortan Library 1st ed. (Mark 16) (NAG Ltd., Oxford, 1993).
42. The correlation between counterions can lead to a net attraction even between surfaces with equal signs of charge, see, e.g., I. Rouzina and V.A. Bloomfield, J. Phys. Chem. 100, 9977 (1996)
43. N. Grønbech-Jensen, R.J. Mashl, R.F. Bruinsma, and W.M. Gelbart, Phys. Rev. Lett. 78, 2477 (1997), and references therein. On the Poisson-Boltzmann level of approximation, this effect cannot be resolved.
44. T.W. Healy and L.R. White, Adv. Colloid Interface Sci. 9, 303 (1978).
45. J. Westall and H. Hohl, Adv. Colloid Interface Sci. 12, 265 (1980).
46. S. Alexander, P.M. Chaikin, P. Grant, G.J. Morales, P. Pincus, and D. Hone, J. Chem. Phys. 80, 5776 (1984).
47. T. Gisler, S.F. Schulz, M. Borkovec, H. Sticher, P. Schurtenberger, B. D’Aguanno, and R. Klein, J. Chem. Phys. 101, 9924 (1994).