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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Solvation free energy of protein reproduced by the combination of the extended scaled particle theory and the Poisson-Boltzmann equation

Journal of Molecular Liquids ◽

10.1016/0167-7322(95)00835-x ◽

1995 ◽

Vol 65-66 ◽

pp. 381-384 ◽

Cited By ~ 5

Author(s):

Masayuki Irisa ◽

Takuya Takahashi ◽

Fumio Hirata ◽

Toshio Yanagida

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Solvation Free Energy ◽

Scaled Particle Theory ◽

Particle Theory ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Erratum: “Minimization of Electrostatic Free Energy and the Poisson–Boltzmann Equation for Molecular Solvation with Implicit Solvent"

SIAM Journal on Mathematical Analysis ◽

10.1137/100796625 ◽

2011 ◽

Vol 43 (6) ◽

pp. 2776-2777

Author(s):

Bo Li

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Implicit Solvent ◽

Poisson Boltzmann ◽

Electrostatic Free Energy ◽

Poisson Boltzmann Equation

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On the structure of double layers in Poisson-Boltzmann equation

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2012.17.1939 ◽

2012 ◽

Vol 17 (6) ◽

pp. 1939-1967 ◽

Cited By ~ 4

Author(s):

Marco A. Fontelos ◽

Lucía B. Gamboa

Keyword(s):

Boltzmann Equation ◽

Double Layers ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Estimation of Solvation Electrostatic Free Energy of Biomolecular Systems by Numerical Solution of the Poisson– Boltzmann Equation

Electrostatics of Soft and Disordered Matter ◽

10.1201/b15597-24 ◽

2014 ◽

pp. 319-334

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Numerical Solution ◽

Biomolecular Systems ◽

Poisson Boltzmann ◽

Electrostatic Free Energy ◽

Poisson Boltzmann Equation

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Comment on “Can a Continuum Solvent Model Reproduce the Free Energy Landscape of a β-Hairpin Folding in Water?” The Poisson−Boltzmann Equation

The Journal of Physical Chemistry B ◽

10.1021/jp037812c ◽

2004 ◽

Vol 108 (22) ◽

pp. 7528-7530 ◽

Cited By ~ 25

Author(s):

Ruhong Zhou ◽

Goran Krilov ◽

B. J. Berne

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Energy Landscape ◽

Free Energy Landscape ◽

Continuum Solvent Model ◽

Solvent Model ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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The solution of the nonlinear Poisson—Boltzmann equation for thin, spherical double layers

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(84)90084-5 ◽

1984 ◽

Vol 99 (1) ◽

pp. 50-58 ◽

Cited By ~ 13

Author(s):

Ramesh Natarajan ◽

Robert S Schechter

Keyword(s):

Boltzmann Equation ◽

Double Layers ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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The solution of the nonlinear poisson—boltzmann equation for thick, spherical double layers

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(86)90225-0 ◽

1986 ◽

Vol 113 (1) ◽

pp. 241-247 ◽

Cited By ~ 4

Author(s):

Ramesh Natarajan ◽

Robert S Schechter

Keyword(s):

Boltzmann Equation ◽

Double Layers ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Minimization of Electrostatic Free Energy and the Poisson–Boltzmann Equation for Molecular Solvation with Implicit Solvent

SIAM Journal on Mathematical Analysis ◽

10.1137/080712350 ◽

2009 ◽

Vol 40 (6) ◽

pp. 2536-2566 ◽

Cited By ~ 63

Author(s):

Bo Li

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Implicit Solvent ◽

Poisson Boltzmann ◽

Electrostatic Free Energy ◽

Poisson Boltzmann Equation

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Derivation of the Poisson—Boltzmann equation by minimization of the helmholtz free energy using a variational principle

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(83)90004-8 ◽

1983 ◽

Vol 96 (1) ◽

pp. 20-27 ◽

Cited By ~ 2

Author(s):

W.G Kleijn ◽

L.J Bruner

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Variational Principle ◽

Helmholtz Free Energy ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Solvation free energy of protein reproduced by the combination of the extended scaled particle theory and the Poisson-Boltzmann equation

Studies in Physical and Theoretical Chemistry - Structure, Fluctuation, and relaxtion in solutions, Proceedings of the Yamada Conference XXXXII ◽

10.1016/s0167-6881(06)80815-3 ◽

1995 ◽

pp. 381-384

Author(s):

Masayuki Irisa ◽

Takuya Takahashi ◽

Fumio Hirata ◽

Toshio Yanagida

Keyword(s):

Free Energy ◽

Boltzmann Equation ◽

Solvation Free Energy ◽

Scaled Particle Theory ◽

Particle Theory ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

Download Full-text