Hierarchical defect-induced condensation in active nematics

Topological defects play a central role in the formation and organization of various biological systems. Historically, such nonequilibrium defects have been mainly studied in the context of homogeneous active nematics. Phase-separated systems, in turn, are known to form dense and dynamic nematic bands, but typically lack topological defects. In this paper, we use agent-based simulations of weakly aligning, self-propelled polymers and demonstrate that contrary to the existing paradigm phase-separated active nematics form -1/2 defects. Moreover, these defects, emerging due to interactions among dense nematic bands, constitute a novel second-order collective state. We investigate the morphology of defects in detail and find that their cores correspond to a strong increase in density, associated with a condensation of nematic fluxes. Unlike their analogs in homogeneous systems, such condensed defects form and decay in a different way and do not involve positively charged partners. We additionally observe and characterize lateral arc-like structures that separate from a band's bulk and move in transverse direction. We show that the key control parameters defining the route from stable bands to the coexistence of dynamic lanes and defects are the total density of particles and their path persistence length. We introduce a hydrodynamic theory that qualitatively recapitulates all the main features of the agent-based model, and use it to show that the emergence of both defects and arcs can be attributed to the same anisotropic active fluxes. Finally, we present a way to artificially engineer and position defects, and speculate about experimental verification of the provided model. In this in silico study, we show that phase-separated active nematics form -1/2 defects, contrary to the current paradigm. We also observe and characterize lateral arc-like structures separating from nematic bands and moving in transverse direction.

Automated summary

Topological defects play a central role in the formation and organization of various biological systems. In this paper, agent-based simulations are used to study phase-separated active nematics and the formation of -1/2 defects. The authors investigate the morphology and characteristics of these defects, as well as observe and characterize lateral arc-like structures separating from nematic bands. The study also introduces a hydrodynamic theory that explains the emergence of defects and arcs.