Molecular aspect ratio and anchoring strength effects in a confined Gay–Berne liquid crystal

Abstract

Phase diagrams for Gay–Berne (GB) fluids were obtained from molecular dynamics simulations for GB(2, 5, 1, 2) (i.e. short mesogens) and GB(3, 5, 1, 2) (i.e. long mesogens), which yield isotropic, nematic, and smectic-B phases. The long-mesogen fluid also yields the smectic-A phase. Ordered phases of the long-mesogen fluid form at higher temperatures and lower densities when compared to those of the short-mesogen fluid. The effect of confinement under weak and strong substrate couplings in slab geometry was investigated. Compared to the bulk, the isotropic–nematic transition does not shift in temprature significantly for the weakly coupled substrate in either mesogen fluid. However, the strongly coupled substrate shifts the transition to lower temperature. Confinement induces marked stratification in the short-mesogen fluid. This effect diminishes with distance from the substrate, yielding bulk-like behaviour in the slab central region. Fluid stratification is very weak for the long-mesogen fluid, but the strongly coupled substrate induces ‘smectisation’, an ordering effect that decays with distance. Orientation of the fluid on the substrate depends on the mesogen. There is no preferred orientation in a plane parallel to the substrate for the weakly coupled case. In the strongly coupled case, the mesogen orientation mimics that of adjacent fluid layers. Planar anchoring is observed with a broad distribution of orientations in the weakly coupled case. In the strongly coupled case, the distribution leans toward planar orientations for the short-mesogen fluid, while a marginal preference for tilting persists in the long-mesogen fluid.

Keywords:

• Gay–Berne
• liquid crystal
• phase diagram
• confinement
• substrate

Acknowledgements

E. Cañeda-Guzmán is grateful to CONACYT-Mexico for a graduate studies scholarship. Computational resources for this work were provided by the LSVP at UAM-I (Mexico).

Additional information

Funding

We thank CONACYT-Mexico [Project No. 178963] for the financial support given to this work. J.A. Moreno-Razo acknowledges PROMEP for financial support [Project No. 12311565]. E.J. Sambriski is indebted to the Professional Development Committee at Delaware Valley College for providing travel grants.