Network topology of interlocked chiral particles
arXiv:2301.09541 · doi:10.1063/5.0143417
Abstract
Self-assembly of chiral particles with an L-shape is explored by Monte-Carlo computer simulations in two spatial dimensions. For sufficiently high packing densities in confinement, a carpet-like texture emerges due to the interlocking of L-shaped particles, resembling a distorted smectic liquid crystalline layer pattern. From the positions of either of the two axes of the particles, two different types of layers can be extracted, which form distinct but complementary entangled networks. These coarse-grained network structures are then analyzed from a topological point of view. We propose a global charge conservation law by using an analogy to uniaxial smectics and show that the individual network topology can be steered by both confinement and particle geometry. Our topological analysis provides a general classification framework for applications to other intertwined dual networks.
arXiv comment11 pages, 11 figures
References in corpus (30)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Circular motion of asymmetric self-propelling particles
- Molecular Chirality and Chiral Parameters
- Orientational order of motile defects in active nematics
- Self-Propelled Rods: Insights and Perspectives for Active Matter
- Disclination Loops, Hedgehogs, and All That
- Hydrodynamics of topological defects in nematic liquid crystals
- Morphogenesis of defects and tactoids during isotropic-nematic phase transition in self-assembled lyotropic chromonic liquid crystals
- On the Microscopic Origin of Cholesteric Pitch
- Brownian motion and the hydrodynamic friction tensor for colloidal particles of complex shape
- Order and Frustration in Chiral Liquid Crystals
- Optimal Traffic Networks
- Chiral liquid crystal colloids
- Appearance of the Single Gyroid Network Phase in Nuclear Pasta Matter
- Confinement of two-dimensional rods in slit pores and square cavities
- Smectics: Symmetry Breaking, Singularities, and Surfaces
- Gyroid Phase in Nuclear Pasta
- Particle-resolved topological defects of smectic colloidal liquid crystals in extreme confinement
- Composite Dislocations in Smectic Liquid Crystals
- The Topology of Dislocations in Smectic Liquid Crystals
- Aspects of Defect Topology in Smectic Liquid Crystals
- The Geometry of the Cholesteric Phase
- Point Defects, Chirality and Singularity Theory in Cholesteric Liquid Crystal Droplets
- Defect patterns of two-dimensional nematic liquid crystals in confinement
- Defect dynamics in active smectics induced by confining geometry and topology
- The weirdest martensite: Smectic liquid crystal microstructure and Weyl-Poincaré invariance
- The Topological Origin of the Peierls-Nabarro Barrier
- Colloidal suspensions of C-particles: Entanglement, percolation and microrheology
- Effect of clustering on the orientational properties of a fluid of hard right isosceles triangles
- Topology of orientational defects in confined smectic liquid crystals