Triply-Periodic Smectics

Simple item page
dc.creatorSantangelo, Christian D.
dc.creatorKamien, Randall D.
dc.date2006-09-22
dc.date.accessioned2026-07-07T07:39:56Z
dc.date.available2026-07-07T07:39:56Z
dc.descriptionTwist-grain-boundary phases in smectics are the geometrical analogs of the Abrikosov flux lattice in superconductors. At large twist angles, the nonlinear elasticity is important in evaluating their energetics. We analytically construct the height function of a pi/2 twist-grain-boundary phase in smectic-A liquid crystals, known as Schnerk's first surface. This construction, utilizing elliptic functions, allows us to compute the energy of the structure analytically. By identifying a set of heretofore unknown defects along the pitch axis of the structure, we study the necessary topological structure of grain boundaries at other angles, concluding that there exist a set of privileged angles and that the π/2 and π/3 grain boundary structures are particularly simple.
dc.description13 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0609596
dc.identifierhttp://arxiv.org/abs/cond-mat/0609596
dc.identifierPhys. Rev. E 75 (2007) 011702
dc.identifierdoi:10.1103/PhysRevE.75.011702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121638
dc.subjectSoft Condensed Matter
dc.titleTriply-Periodic Smectics
dc.typetext

Files

Collections

arXiv