Ra. Sones et al., TWISTING TRANSITION IN A FIBER COMPOSED OF CHIRAL SMECTIC-C LIQUID-CRYSTAL POLYMER, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3611-3617
We consider a cylindrical fiber composed of main-chain liquid crystal
polymer in the chiral smectic-C phase. Due to steric constraints on th
e liquid crystal polymer, the smectic layers orient perpendicular to t
he fiber axis, the liquid crystal director lies flat against the fiber
wall, and a line disclination appears along the fiber axis. Using a L
andau-de Gennes expression for the elastic free energy, we show that t
he fiber may undergo a transition from a cylinder to a helix. transiti
on is favored by large chirality, large fiber radius, and low surface
tension, but is probably not experimentally accessible. However, a,rel
ated transition involving only the disclination should be observable.