Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects

Abstract

We derive and numerically solve a surface active nematodynamics model. We validate the numerical approach on a sphere and analyse the influence of hydrodynamics on the oscillatory motion of topological defects. For ellipsoidal surfaces the influence of geometric forces on these motion patterns is addressed by taking into account the effects of intrinsic as well as extrinsic curvature contributions. The numerical experiments demonstrate the stronger coupling with geometric properties if extrinsic curvature contributions are present and provide a possibility to tune flow and defect motion by surface properties.

References in corpus (3)

• Topology and Dynamics of Active Nematic Vesicles
• Two-Dimensional Matter: Order, Curvature and Defects
• Dynamics of active nematic defects on the surface of a sphere

Cited by in corpus (8)

• Morphodynamics of Active Nematic Fluid Surfaces
• Microdomains and Stress Distributions in Bacterial Monolayers on Curved Interfaces
• Coordinated motion of epithelial layers on curved surfaces
• Tuneable defect-curvature coupling and topological transitions in active shells
• Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements
• The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics
• Active smectics on a sphere
• Passive defect driven morphogenesis in nematic membranes