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

Download Full-text

Orthokinetic aggregation of charged colloidal particles in the presence of repulsive double layer force: A trajectory analysis with the solution of non-linear Poisson–Boltzmann equation

Colloids and Surfaces A Physicochemical and Engineering Aspects ◽

10.1016/j.colsurfa.2015.07.037 ◽

2015 ◽

Vol 483 ◽

pp. 321-327 ◽

Author(s):

T. Sugimoto ◽

M. Kobayashi ◽

Y. Adachi

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Trajectory Analysis ◽

Colloidal Particles ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text

Numerical simulation of diffuse double layer around microporous electrodes based on the Poisson–Boltzmann equation

Electrochimica Acta ◽

10.1016/j.electacta.2013.08.117 ◽

2013 ◽

Vol 112 ◽

pp. 171-175 ◽

Author(s):

Yuki Kitazumi ◽

Osamu Shirai ◽

Masahiro Yamamoto ◽

Kenji Kano

Keyword(s):

Numerical Simulation ◽

Boltzmann Equation ◽

Double Layer ◽

Diffuse Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text

Diffuse double layer interaction between two parallel plates with constant surface charge density in an electrolyte solution IV. Numerical calculation of the interaction between similar plates using the non-linear Poisson-Boltzmann equation

Colloid & Polymer Science ◽

10.1007/bf01410915 ◽

1976 ◽

Vol 254 (5) ◽

pp. 484-491 ◽

Author(s):

Hiroyuki Ohshima

Keyword(s):

Numerical Calculation ◽

Boltzmann Equation ◽

Charge Density ◽

Surface Charge ◽

Electrolyte Solution ◽

Surface Charge Density ◽

Diffuse Double Layer ◽

Parallel Plates ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text

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

Download Full-text

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

Download Full-text

Thermodynamic consistency of the modified Poisson-Boltzmann equation in the electric double layer

The Journal of Physical Chemistry ◽

10.1021/j100281a036 ◽

1986 ◽

Vol 90 (23) ◽

pp. 6248-6251 ◽

Author(s):

D. Bratko ◽

L. B. Bhuiyan ◽

C. W. Outhwaite

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Thermodynamic Consistency ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text

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

Download Full-text

Modified Poisson-Boltzmann Equation in the Electric Double Layer Theory for an Electrolyte with Size Asymmetric Ions

10.21236/ada201410 ◽

1988 ◽

Author(s):

L. B. Bhuiyan ◽

C. W. Outhwaite

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

Download Full-text

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

Download Full-text

Polarizable Poisson–Boltzmann equation: The study of polarizability effects on the structure of a double layer

The Journal of Chemical Physics ◽

10.1063/1.3598476 ◽

2011 ◽

Vol 134 (23) ◽

pp. 234704 ◽

Author(s):

Derek Frydel

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text