Approximate analytic solution of the nonlinear poisson-Boltzmann equation for spherical colloidal particles immersed in a general electrolyte solution

Colloid and Polymer Science

Volumn 290, Issue 15, 2012, Pages 1511-1526

  Zhou, S ^a   Zhang, G ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Approximate analytical expression; Colloids; Poisson Boltzmann equation

Indexed keywords

ABSOLUTE VALUES; ANALYTICAL EXPRESSIONS; APPROXIMATE ANALYTIC SOLUTIONS; ELECTRICAL POTENTIAL DISTRIBUTION; ELECTROLYTE SOLUTIONS; INITIAL SOLUTION; ITERATION PROCEDURE; MIXED ELECTROLYTE SOLUTIONS; NONLINEAR DIFFERENTIAL EQUATION; NONLINEAR POISSON-BOLTZMANN EQUATION; PARAMETER COMBINATION; PARAMETER RANGE; POISSON-BOLTZMANN EQUATIONS; RELATIVE ERRORS; SPHERICAL COLLOIDAL PARTICLES;

COLLOIDS; DIFFERENTIAL EQUATIONS; LINEARIZATION; POISSON EQUATION; POLYNOMIAL APPROXIMATION;

ELECTROLYTES;

ELECTROLYTE;

ACCURACY; ARTICLE; BULK DENSITY; CALCULATION; COLLOID; ELECTRIC POTENTIAL; ELECTRICITY; GEOMETRY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; PARTICLE SIZE; POISSON BOLTZMANN EQUATION; PRIORITY JOURNAL; SURFACE CHARGE;

EID: 84867274873     PISSN: 0303402X     EISSN: 14351536     Source Type: Journal    
DOI: 10.1007/s00396-012-2683-1     Document Type: Article

References (20)

1. Bazant MZ, Kilic MS, Storey BD, Ajdari A (2009) Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions. Adv Colloid and Interface Sci 152:48-88
2. Suzuki D, Horigome K, Yamagata T, Shibata K, Tsuchida A, Okubo T (2011) Colloidal crystallization of thermo-sensitive gel spheres of poly (N-isopropyl acrylamide). Influence of degree of cross-linking of the gels. Colloid and Polymer Sci 289:1799-1808
3. Ohshima H (2004) Surface tension of general electrolyte solutions. Colloid and Polymer Sci 283:119-124
4. Ohshima H (2004) Potential distribution around a charged spherical colloidal particle in a medium containing its counterions and a small amount of added salts. Colloid and Polymer Sc 282:1185- 1191
5. Nosrati R, Hadigol M, Raisee M (2010) The effect of y-component electroosmotic body force in mixed electroosmotic/pressure driven microflows. Colloids Surf A: Physicochem Eng Aspects 372:190- 195
6. Izgorodina EI (2011) Towards large-scale, fully ab initio calculations of ionic liquids. Phys Chem Chem Phys 13:4189-4207
7. Truzzolillo D, Bordi F, Sciortino F, Sennato S (2010) Interaction between like-charged polyelectrolyte-colloid complexes in electrolyte solutions: a Monte Carlo simulation study in the Debye-Huckel approximation. J Chem Phys 133:024901
8. Das S, Chakraborty S (2010) Effect of conductivity variations within the electric double layer on the streaming potential estimation in narrow fluidic confinements. Langmuir 26:11589-11596
9. Ohshima H (2010) Approximate expression for the potential energy of the double-layer interaction between two parallel ionpenetrable membranes at small separations in an electrolyte solution. J Colloid Interface Sci 350:249-252
10. Sharp KA, Honig B (1990) Calculating total electrostatic energies with the nonlinear Poisson-Boltzmann equation. J Phys Chem 94:7684-7692
11. Maffeo C, Schoepflin R, Brutzer H, Stehr R, Aksimentiev A, Wedemann G, Seidel R (2010) DNA-DNA interactions in tight supercoils are described by a small effective charge density. Phys Rev Lett 105:158101
12. Chapman DL (1913) A contribution to the theory of electrocapillarity. Philos Mag 6:475-481
13. de Levie R (1990) Notes on Gouy diffuse-layer theory. J Electroanal Chem 278:17-24
14. Chen Z, Singh RK (2002) General solution for Poisson-Boltzmann equation in semiinfinite planar symmetry. J Colloid Interface Sci 245:301-306
15. Zhou S, Zhang G (2011) Approximate analytical expressions for electrical potential distribution and surface charge density/surface potential relationship for planar, cylindrical, and spherical entities immersed in a general electrolyte solution. Colloids Surf A: Physicochem Eng Aspects 385:28-39
16. Zhou S (1998) An approximate analytic expression for the surface charge density/surface potential relationship for a spherical colloidal particle. J Colloid Interface Sci 208:347-350
17. Ohshima H (1995) Surface charge density/surface potential relationship for a spherical colloidal particle in a solution of general electrolytes. J Colloid Interface Sci 171:525-527
18. van Aken GA, Lekkerkerker HNW, Overbeek JThG, de Bruyn PL (1990) Adsorption of monovalent ions in thin spherical and cylindrical diffuse electrical double layers. J Phys Chem 94:8468-8472
19. Tuinier R (2003) Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry. J Colloid Interface Sci 258:45-49
20. Lin S-H, Hsu J-P, Tseng S, Chen C-J (2005) Analytical expressions for the electrical potential near planar, cylindrical, and spherical surfaces for symmetric electrolytes. J Colloid Interface Sci 281:255-257