A variational field theory for solutions of charged, rigid particles

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A general field theoretic formalism is developed for dealing with solutions of particles with rigid charge distributions. Combined with the mean-field approximation, the resulting theory extends the Poisson-Boltzmann equation to incorporate the presence of structured ions (e.g., uniformly charged rods or disks). When combined with a first-order variational approximation, the resulting theory, in the low density limit, is a generalization of the Debye-Huckel theory to extended charge distributions and reduces to the standard expressions when applied to point charges. A first-order variational theory is applied to solutions of uniformly charged disks and to solutions of uniformly charged disks with a neutralizing ring charge to examine the influence of electrostatic interactions on the isotropic-nematic transition.
LanguageEnglish
Pages236-247
Number of pages12
JournalFluid Phase Equilibria
Volume241
Issue number1-2
DOIs
Publication statusPublished - 15 Mar 2006

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Charge distribution
charge distribution
Debye-Huckel theory
Boltzmann equation
Coulomb interactions
approximation
rods
Ions
electrostatics
formalism
rings
ions
interactions

Keywords

  • Debye–Hückel theory
  • Sisks
  • electrolytes
  • field theory
  • liquid crystals
  • Poisson–Boltzmann equation

Cite this

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title = "A variational field theory for solutions of charged, rigid particles",
abstract = "A general field theoretic formalism is developed for dealing with solutions of particles with rigid charge distributions. Combined with the mean-field approximation, the resulting theory extends the Poisson-Boltzmann equation to incorporate the presence of structured ions (e.g., uniformly charged rods or disks). When combined with a first-order variational approximation, the resulting theory, in the low density limit, is a generalization of the Debye-Huckel theory to extended charge distributions and reduces to the standard expressions when applied to point charges. A first-order variational theory is applied to solutions of uniformly charged disks and to solutions of uniformly charged disks with a neutralizing ring charge to examine the influence of electrostatic interactions on the isotropic-nematic transition.",
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A variational field theory for solutions of charged, rigid particles. / Lue, L.

In: Fluid Phase Equilibria, Vol. 241, No. 1-2, 15.03.2006, p. 236-247.

Research output: Contribution to journalArticle

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AU - Lue, L.

PY - 2006/3/15

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N2 - A general field theoretic formalism is developed for dealing with solutions of particles with rigid charge distributions. Combined with the mean-field approximation, the resulting theory extends the Poisson-Boltzmann equation to incorporate the presence of structured ions (e.g., uniformly charged rods or disks). When combined with a first-order variational approximation, the resulting theory, in the low density limit, is a generalization of the Debye-Huckel theory to extended charge distributions and reduces to the standard expressions when applied to point charges. A first-order variational theory is applied to solutions of uniformly charged disks and to solutions of uniformly charged disks with a neutralizing ring charge to examine the influence of electrostatic interactions on the isotropic-nematic transition.

AB - A general field theoretic formalism is developed for dealing with solutions of particles with rigid charge distributions. Combined with the mean-field approximation, the resulting theory extends the Poisson-Boltzmann equation to incorporate the presence of structured ions (e.g., uniformly charged rods or disks). When combined with a first-order variational approximation, the resulting theory, in the low density limit, is a generalization of the Debye-Huckel theory to extended charge distributions and reduces to the standard expressions when applied to point charges. A first-order variational theory is applied to solutions of uniformly charged disks and to solutions of uniformly charged disks with a neutralizing ring charge to examine the influence of electrostatic interactions on the isotropic-nematic transition.

KW - Debye–Hückel theory

KW - Sisks

KW - electrolytes

KW - field theory

KW - liquid crystals

KW - Poisson–Boltzmann equation

U2 - 10.1016/j.fluid.2005.11.007

DO - 10.1016/j.fluid.2005.11.007

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T2 - Fluid Phase Equilibria

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