Lue, L. (2006) *A variational field theory for solutions of charged, rigid particles.* Fluid Phase Equilibria, 241 (1-2). pp. 236-247. ISSN 0378-3812

## 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.

Item type: | Article |
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ID code: | 27946 |

Keywords: | Debye–Hückel theory, Sisks, electrolytes, field theory, liquid crystals, Poisson–Boltzmann equation, Physical and theoretical chemistry, Physics |

Subjects: | Science > Chemistry > Physical and theoretical chemistry Science > Physics |

Department: | Faculty of Engineering > Chemical and Process Engineering |

Related URLs: | |

Depositing user: | Dr Leo Lue |

Date Deposited: | 02 Aug 2011 12:01 |

Last modified: | 12 Mar 2012 11:20 |

URI: | http://strathprints.strath.ac.uk/id/eprint/27946 |

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