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In two dimensional nematics, topological defects are point like singularities with both a charge and a phase. We study topological defects within curved nematic textures on the surface of a cylinder. This allows us to isolate the effect of…

Soft Condensed Matter · Physics 2022-05-10 Daniel J. G. Pearce

Active matter often simultaneously exhibits different kinds of orientational order and, in many cases of biological interest, undergoes continuous material renewal. In renewing nematopolar fluids we find stable topological strings,…

Soft Condensed Matter · Physics 2026-01-27 Alberto Dinelli , Ludovic Dumoulin , Karsten Kruse

We study the organization of topological defects in a system of nematogens confined to the two-dimensional sphere (S^2). We first perform Monte Carlo simulations of a fluid system of hard rods (spherocylinders) living in the tangent plane…

Soft Condensed Matter · Physics 2009-11-13 Homin Shin , Mark J. Bowick , Xiangjun Xing

We perform energy spectrum analysis of the active turbulence in 3D bulk active nematic using continuum numerical modelling. Specifically, we calculate the spectra of two main energy contributions---kinetic energy and nematic elastic…

Soft Condensed Matter · Physics 2020-09-15 Žiga Krajnik , Žiga Kos , Miha Ravnik

Coherent flows of self-propelled particles are characterized by vortices and jets that sustain chaotic flows, referred to as active turbulence. Here, we reveal a crossover between defect-free active turbulence and active turbulence laden…

Soft Condensed Matter · Physics 2023-05-26 Benjamin H. Andersen , Julian Renaud , Jonas Rønning , Luiza Angheluta , Amin Doostmohammadi

Inspired by recent experiments that highlight the role of nematic defects in the morphogenesis of epithelial tissues, we develop a minimal framework to study the dynamics of an active curved surface driven by its nematic texture. Allowing…

Soft Condensed Matter · Physics 2022-09-14 Farzan Vafa , L. Mahadevan

Active processes drive and guide biological dynamics across scales -- from subcellular cytoskeletal remodelling, through tissue development in embryogenesis, to population-level bacterial colonies expansion. In each of these, biological…

We investigate the emergence of orientational order among +1/2 disclinations in active nematic liquid crystals. Using a combination of theoretical and experimental methods, we show that +1/2 disclinations have short-range antiferromagnetic…

Soft Condensed Matter · Physics 2021-11-08 D. J. G. Pearce , J. Nambisan , P. W. Ellis , A. Fernandez-Nieves , L. Giomi

Collectively moving cellular systems often contain a proportion of dead cells or non-motile genotypes. When mixed, nematically aligning motile and non-motile agents are known to segregate spontaneously. However, the role that topological…

Starting from a three-dimensional description of an active nematic layer, we employ an asymptotic theory to derive a series of low-dimensional continuum models that capture the coupled dynamics of flat and curved films, including variations…

Soft Condensed Matter · Physics 2025-06-23 Mehrana R. Nejad , L. Mahadevan

We consider active nematodynamics on deformable surfaces. Based on a thermodynamically consistent surface Beris-Edwards model we add nematic activity and focus on the emerging additional coupling mechanism between the nematic field, the…

Soft Condensed Matter · Physics 2024-05-24 Ingo Nitschke , Axel Voigt

We show that back-flow, the coupling between the order parameter and the velocity fields, has a significant effect on the motion of defects in nematic liquid crystals. In particular the defect speed can depend strongly on the topological…

Soft Condensed Matter · Physics 2007-05-23 Geza Toth , Colin Denniston , Julia M. Yeomans

Active matter is characterized by its ability to induce motion by self-generated stress. In the case of a solid, such motion can lead to shape transformations. The stress-generating components can be anisotropic endowing the material with…

Soft Condensed Matter · Physics 2022-05-16 D. J. G. Pearce , S. Gat , G. Livne , A. Bernheim-Groswasser , K. Kruse

From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rajarshi Ray , Ajit M. Srivastava

We present a novel, self-consistent and robust theoretical model to investigate elastic interactions between topological defects in liquid crystal shells. Accounting for the non-concentric nature of the shell in a simple manner, we are able…

Soft Condensed Matter · Physics 2016-12-14 Alexandre Darmon , Olivier Dauchot , Teresa Lopez-Leon , Michael Benzaquen

Nematic liquid crystals can dramatically reconfigure under dynamic forcing, providing exciting opportunities in active matter. Here, we study a hybrid disk colloid rotated by an external field which generates a dynamic companion topological…

Soft Condensed Matter · Physics 2026-05-26 Qi Xing Zhang , Claire Dore , Mojtaba Rajabi , Edward B. Steager , Kathleen J. Stebe

Liquid crystals inevitably possess topological defect excitations generated through boundary conditions, applied fields or in quenches to the ordered phase. In equilibrium pairs of defects coarsen and annihilate as the uniform ground state…

Soft Condensed Matter · Physics 2013-06-05 Luca Giomi , Mark J. Bowick , Xu Ma , M. Cristina Marchetti

Topological defects are fundamental to the collective dynamics of non-equilibrium systems and in active matter, mediating spontaneous flows, dynamic self-organization, and emergent pattern formation. Here, we reveal critical states in…

We introduce a general description of localised distortions in active nematics using the framework of active nematic multipoles. We give the Stokesian flows for arbitrary multipoles in terms of differentiation of a fundamental flow response…

Soft Condensed Matter · Physics 2023-04-04 Alexander J. H. Houston , Gareth P. Alexander

We use numerical simulations and linear stability analysis to study an active nematic layer where the director is allowed to point out of the plane. Our results highlight the difference between extensile and contractile systems. Contractile…

Soft Condensed Matter · Physics 2024-04-23 Mehrana R. Nejad , Julia M. Yeomans