Periodic orbits, pair nucleation, and unbinding of active nematic defects on cones.

Autor: Vafa F; Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts 02138, USA., Nelson DR; Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA., Doostmohammadi A; Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen 2100, Denmark.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2024 Jun; Vol. 109 (6-1), pp. 064606.
DOI: 10.1103/PhysRevE.109.064606
Abstrakt: Geometric confinement and topological constraints present promising means of controlling active materials. By combining analytical arguments derived from the Born-Oppenheimer approximation with numerical simulations, we investigate the simultaneous impact of confinement together with curvature singularity by characterizing the dynamics of an active nematic on a cone. Here, the Born-Oppenheimer approximation means that textures can follow defect positions rapidly on the timescales of interest. Upon imposing strong anchoring boundary conditions at the base of a cone, we find a rich phase diagram of multidefect dynamics, including exotic periodic orbits of one or two +1/2 flank defects, depending on activity and nonquantized geometric charge at the cone apex. By characterizing the transitions between these ordered dynamical states, we present detailed understanding of (i) defect unbinding, (ii) defect absorption, and (iii) defect pair nucleation at the apex. Numerical simulations confirm theoretical predictions of not only the nature of the circular orbits but also defect unbinding from the apex.
Databáze: MEDLINE