A solution of the two-dimensional modified Poisson-Boltzmann equation

F. Fonseca

doi:10.12988/ces.2019.91135

A solution of the two-dimensional modified Poisson-Boltzmann equation

Contemporary Engineering Sciences ◽

10.12988/ces.2019.91135 ◽

2019 ◽

Vol 12 (4) ◽

pp. 251-257

Author(s):

F. Fonseca

Keyword(s):

Boltzmann Equation ◽

Two Dimensional ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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The Irregular Behavior of a Counter-Ion Density Described by the Application of the Two-Dimensional Poisson-Boltzmann Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.58.4235 ◽

1989 ◽

Vol 58 (11) ◽

pp. 4235-4250 ◽

Cited By ~ 2

Author(s):

Tetsuo Kaneko

Keyword(s):

Boltzmann Equation ◽

Two Dimensional ◽

Ion Density ◽

Counter Ion ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Irregular Behavior

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A solution of the two-dimensional unbalanced Poisson-Boltzmann equation

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2016.6638 ◽

2016 ◽

Vol 4 ◽

pp. 393-404

Author(s):

F. Fonseca

Keyword(s):

Boltzmann Equation ◽

Two Dimensional ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Analytical Solution of Poisson‐Boltzmann Equation for Two‐Dimensional Many‐Center Problem

The Journal of Chemical Physics ◽

10.1063/1.1730112 ◽

1959 ◽

Vol 30 (4) ◽

pp. 1115-1116 ◽

Cited By ~ 43

Author(s):

Nobuhisa Imai ◽

Tsuyoshi Onishi

Keyword(s):

Boltzmann Equation ◽

Analytical Solution ◽

Two Dimensional ◽

Center Problem ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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A new Green's function Monte Carlo algorithm for the solution of the two-dimensional nonlinear Poisson–Boltzmann equation: Application to the modeling of the communication breakdown problem in space vehicles during re-entry

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.042 ◽

2014 ◽

Vol 276 ◽

pp. 479-485 ◽

Cited By ~ 1

Author(s):

Kausik Chatterjee ◽

John R. Roadcap ◽

Surendra Singh

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Green’S Function ◽

Green's Function ◽

Monte Carlo Algorithm ◽

Space Vehicles ◽

Two Dimensional ◽

Communication Breakdown ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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A two-dimensional stochastic algorithm for the solution of the non-linear Poisson–Boltzmann equation: validation with finite-difference benchmarks

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1539 ◽

2006 ◽

Vol 66 (1) ◽

pp. 72-84 ◽

Cited By ~ 2

Author(s):

Kausik Chatterjee ◽

Jonathan Poggie

Keyword(s):

Boltzmann Equation ◽

Finite Difference ◽

Stochastic Algorithm ◽

Two Dimensional ◽

Non Linear ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110379 ◽

2021 ◽

pp. 110379

Author(s):

Bo Wang ◽

Wenzhong Zhang ◽

Wei Cai

Keyword(s):

Boltzmann Equation ◽

Fast Multipole Method ◽

Fast Multipole ◽

Dielectric Media ◽

Multipole Method ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation

ESAIM Proceedings and Surveys ◽

10.1051/proc/201448020 ◽

2015 ◽

Vol 48 ◽

pp. 420-446 ◽

Cited By ~ 5

Author(s):

Mireille Bossy ◽

Nicolas Champagnat ◽

Hélène Leman ◽

Sylvain Maire ◽

Laurent Violeau ◽

...

Keyword(s):

Monte Carlo ◽

Boltzmann Equation ◽

Monte Carlo Methods ◽

Non Linear ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Designing scalable ultrafiltration/diafiltration process of monoclonal antibodies via mathematical modeling by coupling mass balances and Poisson–Boltzmann equation

Biotechnology and Bioengineering ◽

10.1002/bit.27598 ◽

2020 ◽

Author(s):

Rok Ambrožič ◽

Dejan Arzenšek ◽

Aleš Podgornik

Keyword(s):

Mathematical Modeling ◽

Monoclonal Antibodies ◽

Boltzmann Equation ◽

Mass Balances ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Solvation free energies of non-polar and polar solutes reproduced by a combination of extended scaled particle theory and the Poisson-Boltzmann equation

Molecular Physics ◽

10.1080/00268979500101791 ◽

1995 ◽

Vol 85 (6) ◽

pp. 1227-1238 ◽

Cited By ~ 9

Author(s):

Masayuki Irisa ◽

Takuya Takahashi ◽

Kuniaki Nagayama ◽

Fumio Hirata

Keyword(s):

Boltzmann Equation ◽

Scaled Particle Theory ◽

Free Energies ◽

Particle Theory ◽

Polar Solutes ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Solvation Free Energies

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Modified Poisson-Boltzmann equation and free energy of electrical double layers in hydrophobic colloids

Discussions of the Faraday Society ◽

10.1039/df9664200069 ◽

1966 ◽

Vol 42 ◽

pp. 69 ◽

Cited By ~ 46

Author(s):

S. Levine ◽

G. M. Bell

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Double Layers ◽

Electrical Double Layers ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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