Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Z07: Liquid Crystals III
11:30 AM–2:06 PM,
Friday, March 10, 2023
Room: Room 130
Sponsoring
Unit:
DSOFT
Chair: Robin Selinger, Kent State
Abstract: Z07.00009 : Dynamics of topological defects on cones*
1:06 PM–1:18 PM
Presenter:
Farzan Vafa
(Center of Mathematical Sciences and Applications, Harvard)
Authors:
Farzan Vafa
(Center of Mathematical Sciences and Applications, Harvard)
Siavash Monfared
(Niels Bohr Institute, University of Copenhagen)
Grace H Zhang
(Harvard University)
David R Nelson
(Harvard University)
Amin Doostmohammadi
(Niels Bohr Institute, University of Copenhagen)
For total topological defect charge 1, e.g. imposed by tangential boundary conditions at the edge, we find that for a disk the ground state configuration consists of p defects each of charge +1/p lying equally spaced on a concentric ring of radius d = (p-1)(3p-1)1/(2p) R, where R is the radius of the disk. In the case of a cone with tangential boundary conditions at the base, we find three types of ground state configurations as a function of cone angle: (1) for sharp cones, all of the +1/p defects are absorbed by the apex; (2) at intermediate cone angles, some of the +1/p defects are absorbed by the apex and the rest lie equally spaced along a concentric ring on the flank; and (3) for nearly flat cones, all of the +1/p defects lie equally spaced along a concentric ring on the flank. Here the defect positions and the absorption transitions depend intricately on p and the deficit angle which we analytically compute. We check these results with numerical simulations for a set of commensurate cone angles and find excellent agreement. We also introduce activity and study the dynamics of defects on the cone.
*F.V. acknowledges support by the Center for Mathematical Sciences and Applications at Harvard University. This work was also supported by the National Science Foundation through the Graduate Research Fellowship under Grant No. DGE1745303, as well as through the Harvard Materials Science and Engineering Center, via Grant No. DMR-2011754 (D.R.N.).
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700