Poisson-Boltzmann for oppositely charged bodies: An explicit derivation

Molecular Physics

Volumn 107, Issue 13, 2009, Pages 1379-1391

  Paillusson, Fabien ^a   Barbi, Maria ^a   Victor, Jean Marc ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

Colloid complex; Energy profile; Oppositely charged; Parallel plates; Poisson Boltzmann theory

Indexed keywords

ANALYTIC EXPRESSIONS; COLLOIDAL COMPLEXES; ENERGY MINIMA; ENERGY PROFILE; EXTERNAL CONSTRAINTS; FINITE DISTANCE; ION CONCENTRATIONS; IONIC SOLUTIONS; NON-TRIVIAL EQUILIBRIUM; OPPOSITELY CHARGED; PARALLEL PLATES; PHYSICAL INTERPRETATION; PHYSICS COMMUNITY; POISSON-BOLTZMANN; POISSON-BOLTZMANN THEORY; SELF-CONSISTENT DERIVATION; THERMODYNAMIC POTENTIALS;

COLLOID CHEMISTRY; ELECTROOSMOSIS; LEAD ALLOYS; POISSON DISTRIBUTION;

POISSON EQUATION;

EID: 67651207419     PISSN: 00268976     EISSN: 13623028     Source Type: Journal    
DOI: 10.1080/00268970902893156     Document Type: Article

References (38)

1. W. Kung, A.W.C. Lau, Charged plates beyond mean field: one loop corrections by salt density fluctuations cond-mat/0603191 preprint, 2006.
2. I. Borukhov, D. Andelman, and H. Orland, Phys. Rev. Lett. 79, 435 (1997).
3. I. Borukhov, D. Andelman, and H. Orland, Electrochim. Acta 46, 221 (2000).
4. R.R. Netz and H. Orland, Eur. Phys. J. E 1, 203 (2000).
5. M. Deserno and C. Holm, in Proceedings of the NATO Advanced Study Institute on Electrostatic Effects in Soft Matter and Biophysics, edited by C. Holm, P. Kékicheff, and R. Podgornik (Kluwer, Dordrecht, 2001).
6. C. Tang, J. Iwahara, and G.M. Clore, Nature 444, 383 (2006).
7. H. von Hippel, Biochemistry 20, 6961 (2007).
8. P. Sens and J.-F. Joanny, Phys. Rev. Lett. 84, 4862 (2000).
9. V. Parsegian and D. Gingell, Biophys. J. 12, 1192 (1972).
10. E.J.W. Verwey and J.Th.G. Overbeek, Theory of the Stability of Lyophobic Colloids (Elsevier, Amsterdam, 1948).
11. S. Bhattacharjee, M. Elimelech, and M. Borkovec, Croat. Chem. Acta 71, 883 (1998).
12. S. Bhattacharjee and M. Elimelech, J. Colloid Interface Sci. 193, 273 (1997).
13. M.N. Tamashiro and H. Schiessel, Phys. Rev. E 68, 066106 (2003).
14. F.R. Zypman, J. Phys.: Condens. Matter 18, 2795 (2006).
15. A.W.-C. Lau, PhD thesis (2000).
16. J.-P. Hansen and I.R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, London, 2006).
17. A.R. Denton, Phys. Rev. E 76, 051401 (2007).
18. B. Zoetekouw and R. van Roij, Phys. Rev. E 73, 021403 (2006).
19. S.L. Carnie and G.M. Torrie, Adv. Chem. Phys. 56, 141 (1984).
20. R.A. Marcus, J. Chem. Phys. 23, 1057 (1955).
21. H. Wennerstrom, B. Jonsson, and P. Linse, J. Chem. Phys. 76, 4665 (1982).
22. A. Lau and P. Pincus, Eur. Phys. J. B 10, 175 (1999).
23. D. Ben-Yaakov, Y. Burak, D. Andelman, and S.A. Safran, Europhys. Lett. 79, 48002 (2007).
24. H. Ohshima, Colloid Polym. Sci. 253, 150 (1975).
25. H. Ohshima, Colloid Polym. Sci. 252, 257 (1974).
26. A. Torres, R. van Roij, and G. Téllez, Colloid Interface Sci. 301, 176 (2006).
27. A. Torres and R. van Roij, Langmuir 24, 1110 (2008).
28. K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987).
29. R.P. Feynman, R.B. Leighton, and M. Sand, The Feynman Lectures on Physics (Addison-Wesley/ Pearson, New York, 2006), Vol. 2.
30. E. Trizac, Langmuir 17, 4793 (2001).
31. K. Bohinc, A. Iglic, and S. May, Europhys. Lett. 68, 494 (2004).
32. B.V. Derjaguin, Kolloid-Z. 69, 155 (1934).
33. L.R. White, J. Colloid Interface Sci. 95, 286 (1983).
34. V. Dahirel, F. Paillusson, M. Jardat, M. Barbi, and J.-M. Victor, Non-specific DNA-protein interaction: why proteins can diffuse along DNA. Phys. Rev. Lett., in press (2009).
35. S.C. Glozer and M.J. Solomon, Nat. Mater. 6, 557 (2007).
36. M.E. Leunissen, C.G. Christova, A.-P. Hynninen, C.P. Royall, A.I. Campbell, A. Imhof, M. Dijkstra, R. van Roij, and A. van Blaaderen, Nature 437, 235 (2005).
37. P. Bartlett and A.I. Campbell, Phys. Rev. Lett. 95, 128302 (2005).
38. E.V. Shevchenko, D.V. Talapin, N.A. Kotov, S. O'Brien, and C.B. Murray, Nature 439, 55 (2006).