| Title | Nematic ordering of semiflexible polymers confined on a toroidal surface |
| Authors | Ye, Shiwei Zhang, Pingwen Chen, Jeff Z. Y. |
| Affiliation | Peking Univ, LMAM, Beijing 100871, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada. Peking Univ, LMAM, Beijing 100871, Peoples R China. Zhang, PW (reprint author), Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Chen, JZY (reprint author), Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada. |
| Keywords | LIQUID-CRYSTALS ORIENTATIONAL ORDER PHASE-TRANSITION CHAINS COLLOIDS |
| Issue Date | 2016 |
| Publisher | SOFT MATTER |
| Citation | SOFT MATTER.2016,12(24),5438-5449. |
| Abstract | We study the isotropic-like and nematic states of wormlike liquid-crystal polymers embedded on the surface of a torus. The role played by surface curvature, which couples to the molecular rigidity, is reported as the main reason that causes the weak nematic ordering in an otherwise ordinary isotropic phase. The same coupling has a profound effect on the nematic states as well, which are stabilized by the Onsager excluded-volume interaction; the latter has been frequently used to study lyotropic liquid crystal polymers and is used here as an example of the physical mechanisms that drive the system to make orientational ordering. We identify important parameters in the system which are used as axes of the four-dimensional phase diagram. The numerical study demonstrates a strong correlation between the liquid-crystal defect-free and defect structures and the geometry of the liquid-crystal embedded surface. |
| URI | http://hdl.handle.net/20.500.11897/433512 |
| ISSN | 1744-683X |
| DOI | 10.1039/c6sm01098a |
| Indexed | SCI(E) EI PubMed |
| Appears in Collections: | 数学及其应用教育部重点实验室 数学科学学院 |
