Table of Contents
Physics Research International
Volume 2012, Article ID 750890, 7 pages
http://dx.doi.org/10.1155/2012/750890
Research Article

Length Bidisperse Carbon Nanotubes Dispersions in Thermotropic Liquid Crystals

1Faculty of Physics, University of Bucharest, P.O. Box MG-11, 077125 Bucharest, Romania
2Osnovna šola I Murska Sobota, Štefana Kovača 32, 9000 Murska Sobota, Slovenia

Received 9 May 2012; Accepted 27 July 2012

Academic Editor: Ali Hussain Reshak

Copyright © 2012 V. Popa-Nita and S. Buček. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study nematic liquid crystal driven alignment of carbon nanotubes dispersed in them. We extend the mesoscopic model presented in (P. Van der Schoot et al. 2008, V. Popa-Nita, and S. Kralj 2010) including the effect of length bidispersity of carbon nanotubes. The free energy of the mixture is written as the sum of the Doi free energy for lyotropic nematic ordering of the two carbon nanotubes types, the Landau-de Gennes free energy for the thermotropic ordering of liquid crystal, and the coupling term between liquid crystal molecules and carbon nanotubes. The phase ordering of the mixtures is analyzed as a function of volume fraction, the strength of coupling, and the temperature.