Maier-Saupe theory in four dimensions

被引：1

作者：

Zheng, Xiaoyu ^{[1
]}

Palffy-Muhoray, Peter ^{[2
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Kent State Univ, Inst Liquid Crystal, Kent, OH 44242 USA

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 04期

基金：

美国国家科学基金会;

关键词：

STATES;

D O I：

10.1103/PhysRevE.83.041702

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Maier-Saupe theory is the canonical mean field description of thermotropic nematic liquid crystals. In this paper, we examine the predictions of the theory in four spatial dimensions. Representations of the order parameter tensor and the existence of new phases are discussed. The phase diagram, based on numerical solution of the self-consistent equations and Landau theory, is presented. Orientational order decreases as the number of spatial dimensions is increased.

引用

页数：8

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