### Abstract

Language | English |
---|---|

Pages | 236-247 |

Number of pages | 12 |

Journal | Fluid Phase Equilibria |

Volume | 241 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 15 Mar 2006 |

### Fingerprint

### Keywords

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

### Cite this

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*Fluid Phase Equilibria*, vol. 241, no. 1-2, pp. 236-247. https://doi.org/10.1016/j.fluid.2005.11.007

**A variational field theory for solutions of charged, rigid particles.** / Lue, L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A variational field theory for solutions of charged, rigid particles

AU - Lue, L.

PY - 2006/3/15

Y1 - 2006/3/15

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

M3 - Article

VL - 241

SP - 236

EP - 247

JO - Fluid Phase Equilibria

T2 - Fluid Phase Equilibria

JF - Fluid Phase Equilibria

SN - 0378-3812

IS - 1-2

ER -