Isotropic-to-nematic transition in liquid-crystalline heteropolymers: II. Side-chain liquid-crystalline polymers
We apply a density functional approach for arbitrary branched liquid-crystalline (LC) heteropolymers consisting of elongated rigid rods coupled through elastic joints developed in a companion paper (Wessels and Mulder 2006 J. Phys. Condens. Matter. 18 9335) to a model for side-chain liquid-crystalline polymers. In this model mesogenic units are coupled through finite-length spacers to a linear backbone polymer. The stereochemical constraints imposed at the connection between spacer and backbone are explicitly modelled. Using a bifurcation analysis, analytical results are obtained for the spinodal density of the I-N transition and the variation of the degree of ordering over the various molecular parts at the instability as a function of the model parameters. We also determine the location of the crossover between oblate and prolate backbone conformations in the nematic phase.
|Journal||J. Phys.: Condens. Matter|
Wessels, P.P.F, & Mulder, B.M. (2006). Isotropic-to-nematic transition in liquid-crystalline heteropolymers: II. Side-chain liquid-crystalline polymers. J. Phys.: Condens. Matter, 18, 9359–9374. doi:10.1088/0953-8984/18/41/004