1. Open Access Kent State
  2. Maier-Saupe Theory in Four Dimensions
Author(s)
Abstract

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.
Format
Article
Identifier(s)
10.1103/PhysRevE.83.041702
Publication Date
2011-04-06
Publication Title
Physical Review E
Volume
83
Issue
4
Keywords
Subject
Community
Biostatistics, Environmental Health and Epidemiology
Comments

Copyright 2011 American Physical Society. Available on publisher's site at http://dx.doi.org/10.1103/PhysRevE.83.041702.
Permalink https://oaks.kent.edu/behepubs/13
Zheng, X., & Palffy-Muhoray, P. (2011). Maier-Saupe Theory in Four Dimensions. Physical Review E. https://doi.org/10.1103/PhysRevE.83.041702
Zheng, Xiaoyu, and Peter Palffy-Muhoray. 2011. “Maier-Saupe Theory in Four Dimensions”. Physical Review E. https://doi.org/10.1103/PhysRevE.83.041702.
Zheng, X., and P. Palffy-Muhoray. Maier-Saupe Theory in Four Dimensions. Physical Review E, 6 Apr. 2011, doi:10.1103/PhysRevE.83.041702.