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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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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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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Analytical solutions of the Poisson-Boltzmann equation within an interstitial electrical double layer in various geometries

Chemical Physics ◽

10.1016/j.chemphys.2019.01.026 ◽

2019 ◽

Vol 522 ◽

pp. 147-162 ◽

Author(s):

Hadi Saboorian-Jooybari ◽

Zhangxin Chen

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Analytical Solutions ◽

Electrical Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Approximate analytical solutions to the Poisson–Boltzmann equation

The Journal of Chemical Physics ◽

10.1063/1.431469 ◽

1975 ◽

Vol 63 (4) ◽

pp. 1699-1700 ◽

Author(s):

J.‐Y. Parlange

Keyword(s):

Boltzmann Equation ◽

Analytical Solutions ◽

Approximate Analytical 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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Approximate analytic expressions for the electrostatic interaction energy between two colloidal particles based on the modified Poisson-Boltzmann equation

Colloid & Polymer Science ◽

10.1007/s00396-016-4005-5 ◽

2016 ◽

Vol 295 (2) ◽

pp. 289-296 ◽

Author(s):

Hiroyuki Ohshima

Keyword(s):

Boltzmann Equation ◽

Interaction Energy ◽

Electrostatic Interaction ◽

Colloidal Particles ◽

Analytic Expressions ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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