Theory of defect motion in 2D passive and active nematic liquid crystals
arXiv:1809.06448 · doi:10.1039/C8SM01901K
Abstract
The motion of topological defects is an important feature of the dynamics of all liquid crystals, and is especially conspicuous in active liquid crystals. Understanding defect motion is a challenging theoretical problem, because the dynamics of orientational order is coupled with backflow of the fluid, and because a liquid crystal has several distinct viscosity coefficients. Here, we suggest a coarse-grained, variational approach, which describes the motion of defects as effective `particles.' For passive liquid crystals, the theory shows how the drag depends on defect orientation, and shows the coupling between translational and rotational motion. For active liquid crystals, the theory provides an alternative way to describe motion induced by the activity coefficient.
References in corpus (10)
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- Active matter
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Cited by in corpus (20)
- Topological active matter
- Self-organized dynamics and the transition to turbulence of confined active nematics
- Hydrodynamics of ideal fracton fluids
- Hydrodynamics of Active Defects: from order to chaos to defect ordering
- Design of nematic liquid crystals to control microscale dynamics
- Microfluidic control over topological states in channel-confined nematic flows
- Geometry and mechanics of disclination lines in 3D nematic liquid crystals
- Understanding dense active nematics from microscopic models
- Dynamics of active nematic defects on the surface of a sphere
- Alignment of a topological defect by an activity gradient
- Minimization principle for shear alignment of liquid crystals
- Activity driven orientational order in active nematic liquid crystals on an anisotropic substrate
- A nematic liquid crystal with an immersed body: equilibrium, stress, and paradox
- Many-defect solutions in planar nematics: interactions, spiral textures and boundary conditions
- Frank-Read Mechanism in Nematic Liquid Crystals
- Annihilation trajectory of defects in smectic-C films
- Nematronics: Reciprocal coupling between ionic currents and nematic dynamics
- Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction
- Coarse-grained theory for motion of solitons and skyrmions in liquid crystals
- Passive Janus Particles Are Self-propelled in Active Nematics