A variational field theory for solutions of charged, rigid particles

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• 作者：L. Lue
• 关键词：Debye– ; Hü ; ckel theory ; Sisks ; Electrolytes ; Field theory ; Liquid crystals ; Poisson– ; Boltzmann equation
• 刊名：Fluid Phase Equilibria
• 出版年：2006
• 出版时间：15 March 2006
• 年：2006
• 卷：241
• 期：1-2
• 页码：236-247
• 全文大小：324 K

文摘

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–Hückel 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.