1. Geometrical Control of Active Turbulence in Curved Topographies
- Author
-
Daniel J. G. Pearce, Alberto Fernandez-Nieves, Luca Giomi, and Perry W. Ellis
- Subjects
Physics ,Surface (mathematics) ,Number density ,Annihilation ,Toroid ,Turbulence ,General Physics and Astronomy ,FOS: Physical sciences ,Mechanics ,Condensed Matter - Soft Condensed Matter ,01 natural sciences ,Physics::Fluid Dynamics ,symbols.namesake ,Liquid crystal ,0103 physical sciences ,Gaussian curvature ,symbols ,Soft Condensed Matter (cond-mat.soft) ,010306 general physics ,Topological quantum number - Abstract
We investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal con- strained on a curved surface. Using a combination of hydrodynamic and particle-based simulations, we demonstrate that the fundamental structural features of the fluid, such as the topological charge density, the defect number density, the nematic order parameter and defect creation and annihilation rates, are simple linear functions of the substrate Gaussian curvature, which then acts as a control parameter for the chaotic flow. Our theoretical predictions are then compared with experiments on microtubule-kinesin suspensions confined on toroidal active droplets, finding excellent qualitative agreement., Comment: 6 pages, 4 figures
- Published
- 2019