Journal
FLUID PHASE EQUILIBRIA
Volume 241, Issue 1-2, Pages 236-247Publisher
ELSEVIER
DOI: 10.1016/j.fluid.2005.11.007
Keywords
Debye-Huckel theory; sisks; electrolytes; field theory; liquid crystals; Poisson-Boltzmann equation
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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. (c) 2005 Elsevier B.V. All rights reserved.
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