Solution of the nonlinear Poisson-Boltzmann equation for the inner problems of the electrical double-layer theory

The Journal of Physical Chemistry ◽

10.1021/j150625a001 ◽

1981 ◽

Vol 85 (25) ◽

pp. 3735-3736 ◽

Author(s):

V. L. Sigal ◽

Yu. Ye. Ginsburg

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electrical Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

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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On the electrical double layer theory. II. The Poisson—Boltzmann equation including hydration forces

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(78)90369-7 ◽

1978 ◽

Vol 64 (2) ◽

pp. 333-341 ◽

Author(s):

Yigal Gur ◽

Israela Ravina ◽

Alexander J Babchin

Keyword(s):

Boltzmann Equation ◽

Double Layer ◽

Electrical Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation ◽

Hydration Forces

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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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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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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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Modified Poisson–Boltzmann equation in electric double layer theory based on the Bogoliubov–Born–Green–Yvon integral equations

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

10.1039/f29787401214 ◽

1978 ◽

Vol 74 (0) ◽

pp. 1214-1221 ◽

Author(s):

Christopher W. Outhwaite

Keyword(s):

Boltzmann Equation ◽

Integral Equations ◽

Double Layer ◽

Electric Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

Poisson Boltzmann Equation

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Numerical solution of a modified Poisson-Boltzmann equation in electric double layer theory

Chemical Physics Letters ◽

10.1016/0009-2614(79)85026-5 ◽

1979 ◽

Vol 66 (2) ◽

pp. 321-324 ◽

Author(s):

L.B. Bhuiyan ◽

C.W. Outhwaite ◽

S. Levine

Keyword(s):

Boltzmann Equation ◽

Numerical Solution ◽

Double Layer ◽

Electric Double Layer ◽

Poisson Boltzmann ◽

Double Layer Theory ◽

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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