Abstract
The topological theory of defects assigns a charge to every point defect exhibited by nematic liquid crystals. Complex phenomena have been observed in capillary tubes involving the appearance and the disappearance of periodic arrays of defects with alternating sign of the charge. Here we move a step towards understanding these phenomena by considering a simple system, which would serve as an instructive example. We develop a mathematical model fit to describe the evolution in time of three defects. We write the differential equations that rule this peculiar dynamical system: they show, in particular, how a defect is dragged in the wake of another with a velocity which depends on the distance between them.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.