Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

Journal of Colloid and Interface Science

Volumn 258, Issue 1, 2003, Pages 45-49

  Tuinier, R ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Charged colloid; Charged cylinder; Charged sphere; Poisson Boltzmann equation; Polyelectrolytes

Indexed keywords

APPROXIMATION THEORY; ELECTRIC CHARGE; ELECTRIC POTENTIAL; NUMERICAL METHODS; POISSON DISTRIBUTION;

CHARGED CYLINDERS;

COLLOIDS;

AQUEOUS SOLUTION; ARTICLE; ELECTRICITY; GEOMETRY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; POISSON BOLTZMANN EQUATION; PRIORITY JOURNAL;

EID: 0037323722     PISSN: 00219797     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9797(02)00142-X     Document Type: Article

References (30)

1. Verwey E.J.W., Overbeek J.Th.G. Theory of the Stability of Lyophobic Colloids. 1948;Dover, Mineola, NY.
2. Lekkerkerker H.N.W. Physica A. 159:1989;319; Lekkerkerker H.N.W. Physica A. 167:1990;384.
3. Lekkerkerker H.N.W. Physica A. 159:1989;319; Lekkerkerker H.N.W. Physica A. 167:1990;384.
4. Van Roij R., Dijkstra M., Hansen J.-P. Phys. Rev. E. 59:1999;2010.
5. Van Roij R., Evans R. J. Phys. Condens. Matter. 11:1999;10047.
6. Knott M., Ford I.J. Phys. Rev. E. 63:2001;031403.
7. Chan D.Y.C. Phys. Rev. E. 63:2001;061806.
8. von Grünberg H.H., Van Roij R., Klein G. Europhys. Lett. 55:2001;580.
9. Sherwood J.D. J. Fluid Mech. 101:1980;609.
10. Hinch E.J., Sherwood J.D. J. Fluid Mech. 132:1983;337.
11. Sherwood J.D., Rubio-Hernández F.J., Ruiz-Reina E. J. Colloid Interface Sci. 228:2000;7.
12. Onsager L. Ann. NY Acad. Sci. 51:1949;627.
13. Stroobants A., Lekkerkerker H.N.W., Odijk T. Macromolecules. 19:1986;2232.
14. Odijk T. J. Polym. Sci. Polym. Phys. Ed. 15:1977;477.
15. Odijk T. Chem. Phys. Lett. 100:1983;145.
16. Parlange J.-Y. J. Chem. Phys. 57:1972;376 Parlange J.-Y. J. Chem. Phys. 63:1975;1699.
17. Parlange J.-Y. J. Chem. Phys. 57:1972;376 Parlange J.-Y. J. Chem. Phys. 63:1975;1699.
18. Stokes A.N. J. Chem. Phys. 65:1976;261.
19. Ramanathan G.V. J. Chem. Phys. 68:1988;3887.
20. Rouzina I., Bloomfield V.A. J. Phys. Chem. 100:1996;9977.
21. Gouy G. J. Phys. 9:1910;457 Chapman D.L. Philos. Mag. 25:1913;475.
22. Gouy G. J. Phys. 9:1910;457 Chapman D.L. Philos. Mag. 25:1913;475.
23. Turner A. Jr., Berg P.W., Morawetz H. J. Polym. Sci. 7:1951;543.
24. Fuoss R.M., Katchalsky A., Lifson S. Proc. Natl. Acad. Sci. 37:1951;579.
25. Philip J.R., Wooding R.A. J. Chem. Phys. 52:1970;953.
26. Tracy C.A., Widom H. Physica A. 244:1997;402.
27. Debye P., Hückel E. Phys. Z. 24:1923;742.
28. Chew W.C., Sen P.N. J. Chem. Phys. 77:1982;2042.
29. Dukhin S.S., Semenikhin N.M., Shapinskaya L.M. Dokl. Phys. Chem. 193:1970;540.
30. Lyklema J. Fundamentals of Interface and Colloid Science, Vol. 2, Solid-Liquid Interfaces. 1995;Academic Press, San Diego. Chap. 3, Sections 3.5 e and f.