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

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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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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

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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

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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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On the electrical double layer theory. I. A numerical method for solving a generalized Poisson—Boltzmann equation

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(78)90368-5 ◽

1978 ◽

Vol 64 (2) ◽

pp. 326-332 ◽

Author(s):

Yigal Gur ◽

Israela Ravina ◽

Alexander J Babchin

Keyword(s):

Boltzmann Equation ◽

Numerical Method ◽

Double Layer ◽

Electrical Double Layer ◽

Generalized Poisson ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

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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

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An improved modified Poisson–Boltzmann equation in electric-double-layer theory

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

10.1039/f29837900707 ◽

1983 ◽

Vol 79 (5) ◽

pp. 707-718 ◽

Author(s):

Christopher W. Outhwaite ◽

Lutful B. Bhuiyan

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

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A simple and practical approach to implement the general Poisson–Boltzmann equation of symmetric and asymmetric electrolytes for electrical double layer interactions

Colloids and Surfaces A Physicochemical and Engineering Aspects ◽

10.1016/j.colsurfa.2004.03.026 ◽

2004 ◽

Vol 242 (1-3) ◽

pp. 189-193 ◽

Author(s):

Junfeng Zhang ◽

Astrid Drechsler ◽

Karina Grundke ◽

Daniel Y. Kwok

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electrical Double Layer ◽

Practical Approach ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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A modified Poisson–Boltzmann equation in electric double layer theory for a primitive model electrolyte with size‐asymmetric ions

The Journal of Chemical Physics ◽

10.1063/1.450231 ◽

1986 ◽

Vol 84 (6) ◽

pp. 3461-3471 ◽

Author(s):

C. W. Outhwaite ◽

L. B. Bhuiyan

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electric Double Layer ◽

Primitive Model ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

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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

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