A field theory for ions near charged surfaces valid from weak to strong couplings

Marius M. Hatlo, Leo Lue

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

A theory is developed to model the behavior of mobile ions around a fixed charged distribution in the presence of dielectric bodies. By treating the short and long-wavelength fluctuations of the electric potential within different approximation schemes, this approach combines the strengths of the mean field approximation and the strong coupling expansion, while retaining the simplicity of the commonly used Poisson-Boltzmann theory. It is capable of accurately describing ion-correlation induced phenomena, such as the attraction between two like charged plates, the repulsion between two oppositely charged plates, and overcharging. The theory is compared with Monte Carlo simulation data for various systems of charged plates with their associated counterions and added electrolyte. Good agreement is found for nearly all conditions examined.
LanguageEnglish
Pages125-133
Number of pages8
JournalSoft Matter
Volume5
Issue number1
DOIs
Publication statusPublished - 2009

Fingerprint

Ions
Electrolytes
ions
data simulation
retaining
approximation
Wavelength
attraction
Electric potential
electrolytes
expansion
electric potential
wavelengths
Monte Carlo simulation

Keywords

  • Monte Carlo Simulation
  • electric double layer
  • one component plasma
  • poisson boltzmann equation

Cite this

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A field theory for ions near charged surfaces valid from weak to strong couplings. / Hatlo, Marius M.; Lue, Leo.

In: Soft Matter, Vol. 5, No. 1, 2009, p. 125-133.

Research output: Contribution to journalArticle

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AU - Hatlo, Marius M.

AU - Lue, Leo

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AB - A theory is developed to model the behavior of mobile ions around a fixed charged distribution in the presence of dielectric bodies. By treating the short and long-wavelength fluctuations of the electric potential within different approximation schemes, this approach combines the strengths of the mean field approximation and the strong coupling expansion, while retaining the simplicity of the commonly used Poisson-Boltzmann theory. It is capable of accurately describing ion-correlation induced phenomena, such as the attraction between two like charged plates, the repulsion between two oppositely charged plates, and overcharging. The theory is compared with Monte Carlo simulation data for various systems of charged plates with their associated counterions and added electrolyte. Good agreement is found for nearly all conditions examined.

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KW - electric double layer

KW - one component plasma

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