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

Colloid & Polymer Science ◽

10.1007/s00396-012-2683-1 ◽

2012 ◽

Vol 290 (15) ◽

pp. 1511-1526 ◽

Author(s):

S. Zhou ◽

G. Zhang

Keyword(s):

Boltzmann Equation ◽

Electrolyte Solution ◽

Colloidal Particles ◽

Analytic Solution ◽

Approximate Analytic Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Approximate analytic solution of the Poisson–Boltzmann equation for a spherical colloidal particle

Journal of the Chemical Society Faraday Transactions 2 Molecular and Chemical Physics ◽

10.1039/f29777300577 ◽

1977 ◽

Vol 73 (5) ◽

pp. 577-596 ◽

Author(s):

Lee R. White

Keyword(s):

Boltzmann Equation ◽

Colloidal Particle ◽

Analytic Solution ◽

Approximate Analytic Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Spherical Colloidal Particle

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An approximate analytic solution to the modified Poisson-Boltzmann equation: effects of ionic size

Colloid & Polymer Science ◽

10.1007/s00396-016-3973-9 ◽

2016 ◽

Vol 294 (12) ◽

pp. 2121-2125 ◽

Author(s):

Hiroyuki Ohshima

Keyword(s):

Boltzmann Equation ◽

Analytic Solution ◽

Approximate Analytic Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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An approximate analytic solution of the three-dimensional Poisson–Boltzmann equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/39/019 ◽

2007 ◽

Vol 40 (39) ◽

pp. 12001-12006 ◽

Author(s):

José Luis G Pestaña ◽

Donald H Eckhardt

Keyword(s):

Boltzmann Equation ◽

Analytic Solution ◽

Three Dimensional ◽

Approximate Analytic Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Analytical solutions of nonlinear Poisson–Boltzmann equation for colloidal particles immersed in a general electrolyte solution by homotopy perturbation technique

Colloid & Polymer Science ◽

10.1007/s00396-012-2622-1 ◽

2012 ◽

Vol 290 (12) ◽

pp. 1165-1180 ◽

Author(s):

S. Zhou ◽

H. Wu

Keyword(s):

Boltzmann Equation ◽

Electrolyte Solution ◽

Analytical Solutions ◽

Colloidal Particles ◽

Perturbation Technique ◽

Homotopy Perturbation ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Homotopy Perturbation Technique

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The solution of a modified Poisson—Boltzmann equation for colloidal particles in electrolyte solutions

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(75)90085-5 ◽

1975 ◽

Vol 51 (1) ◽

pp. 72-86 ◽

Author(s):

P.L Levine

Keyword(s):

Boltzmann Equation ◽

Colloidal Particles ◽

Electrolyte Solutions ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Adsorption of large ions from an electrolyte solution: a modified Poisson–Boltzmann equation

Electrochimica Acta ◽

10.1016/s0013-4686(00)00576-4 ◽

2000 ◽

Vol 46 (2-3) ◽

pp. 221-229 ◽

Author(s):

I. Borukhov ◽

D. Andelman ◽

H. Orland

Keyword(s):

Boltzmann Equation ◽

Electrolyte Solution ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Erratum: ``Comments on the linear modified Poisson-Boltzmann equation in electrolyte solution theory'' [Condens. Matter Phys., 2019, 22, 23801: 1--14, DOI:10.5488/CMP.22.23801]

Condensed Matter Physics ◽

10.5488/cmp.24.16801 ◽

2021 ◽

Vol 24 (1) ◽

pp. 16801

Author(s):

C.W. Outhwaite ◽

L.B. Bhuiyan

Keyword(s):

Boltzmann Equation ◽

Electrolyte Solution ◽

Solution Theory ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Numerical calculation of diffuse double layer properties for spherical colloidal particles by means of a modified nonlinearized poisson-Boltzmann equation

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(79)90051-1 ◽

1979 ◽

Vol 70 (3) ◽

pp. 440-447 ◽

Author(s):

Jens Frahm ◽

Stephan Diekmann

Keyword(s):

Numerical Calculation ◽

Boltzmann Equation ◽

Double Layer ◽

Colloidal Particles ◽

Diffuse Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Accuracy Assessment of Numerical Solutions of the Nonlinear Poisson–Boltzmann Equation for Charged Colloidal Particles

Journal of Colloid and Interface Science ◽

10.1006/jcis.1997.5374 ◽

1998 ◽

Vol 201 (1) ◽

pp. 7-12

Author(s):

Yongxian Qian ◽

W.Richard Bowen

Keyword(s):

Boltzmann Equation ◽

Colloidal Particles ◽

Numerical Solutions ◽

Accuracy Assessment ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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A lattice Boltzmann model for electrokinetic microchannel flow of electrolyte solution in the presence of external forces with the Poisson–Boltzmann equation

International Journal of Heat and Mass Transfer ◽

10.1016/s0017-9310(03)00218-7 ◽

2003 ◽

Vol 46 (22) ◽

pp. 4235-4244 ◽

Author(s):

Baoming Li ◽

Daniel Y. Kwok

Keyword(s):

Boltzmann Equation ◽

Electrolyte Solution ◽

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Microchannel Flow ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

External Forces ◽

Boltzmann Model

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