Spontaneous self-constraint in active nematic flows

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 functionality requires collective flows to occur while self-organized structures are protected; however, the mechanisms by which active flows can spontaneously constrain their dynamics to preserve structure have not previously been explained. By studying collective flows and defect dynamics in active nematic films, we demonstrate the existence of a self-constraint -- a two-way, spontaneously arising relationship between activity-driven isosurfaces of flow boundaries and mesoscale nematic structures. Our results show that self-motile defects are tightly constrained to viscometric surfaces -- contours along which vorticity and strain-rate balance. This in turn reveals that self-motile defects break mirror symmetry when they move along a single viscometric surface, in contrast with expectations. This is explained by an interdependence between viscometric surfaces and bend walls -- elongated narrow kinks in the orientation field. Although we focus on extensile nematic films, numerical results show the constraint holds whenever activity leads to motile half-charge defects. This mesoscale cross-field self-constraint offers a new framework for tackling complex 3D active turbulence, designing dynamic control into biomimetic materials, and understanding how biological systems can employ active stress for dynamic self-organization.

[1]  Rui Zhang,et al.  Topological defect-mediated morphodynamics of active–active interfaces , 2022, Proceedings of the National Academy of Sciences of the United States of America.

[2]  M. Ravnik,et al.  Continuous generation of topological defects in a passively driven nematic liquid crystal , 2022, Nature Communications.

[3]  F. Toschi,et al.  Coexistence of Active and Hydrodynamic Turbulence in Two-Dimensional Active Nematics. , 2022, Physical review letters.

[4]  A. Bhattacharjee,et al.  Reconnection-driven energy cascade in magnetohydrodynamic turbulence , 2022, Science advances.

[5]  Samriddhi Sankar Ray,et al.  Intermittency, fluctuations and maximal chaos in an emergent universal state of active turbulence , 2022, Nature Physics.

[6]  L. Giomi,et al.  Self-regulation of phenotypic noise synchronizes emergent organization and active transport in confluent microbial environments , 2022, Nature Physics.

[7]  M. Ravnik,et al.  Defect Line Coarsening and Refinement in Active Nematics. , 2022, Physical review letters.

[8]  J. Viñals,et al.  Singularity identification for the characterization of topology, geometry, and motion of nematic disclination lines. , 2022, Soft matter.

[9]  J. D. de Pablo,et al.  Logic operations with active topological defects , 2022, Science advances.

[10]  B. Ladoux,et al.  Active nematics across scales from cytoskeleton organization to tissue morphogenesis. , 2022, Current opinion in genetics & development.

[11]  Sumesh P. Thampi,et al.  Helical flow states in active nematics. , 2021, Physical review. E.

[12]  Grégoire Lemoult,et al.  Phase Transition to Turbulence in Spatially Extended Shear Flows. , 2021, Physical review letters.

[13]  M. Bowick,et al.  Flow around topological defects in active nematic films , 2021, Proceedings of the Royal Society A.

[14]  L. Brandt,et al.  Particle-Laden Turbulence: Progress and Perspectives , 2021, Annual Review of Fluid Mechanics.

[15]  G. Krstulovic,et al.  Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence , 2021, Nature Communications.

[16]  L. Mahadevan,et al.  Active Nematic Defects and Epithelial Morphogenesis. , 2021, Physical Review Letters.

[17]  L. Mahadevan,et al.  Defect-mediated dynamics of coherent structures in active nematics , 2021, Nature Physics.

[18]  J. Joanny,et al.  Active Turbulence , 2021, Annual Review of Condensed Matter Physics.

[19]  L. Skrbek,et al.  Phenomenology of quantum turbulence in superfluid helium , 2021, Proceedings of the National Academy of Sciences.

[20]  J. D. de Pablo,et al.  Autonomous materials systems from active liquid crystals , 2021, Nature Reviews Materials.

[21]  Dimitrius A. Khaladj,et al.  Submersed micropatterned structures control active nematic flow, topology, and concentration , 2021, Proceedings of the National Academy of Sciences.

[22]  R. Golestanian,et al.  Scaling Regimes of Active Turbulence with External Dissipation , 2021, Physical Review X.

[23]  M. Bowick,et al.  The role of fluid flow in the dynamics of active nematic defects , 2020, 2012.02980.

[24]  J. Hardouin,et al.  Active boundary layers in confined active nematics , 2020, Nature Communications.

[25]  A. Schekochihin,et al.  Reconnection-Controlled Decay of Magnetohydrodynamic Turbulence and the Role of Invariants , 2020, Physical Review X.

[26]  M. Bowick,et al.  Topological active matter , 2020, Nature Reviews Physics.

[27]  A. Doostmohammadi,et al.  Binding self-propelled topological defects in active turbulence , 2020, Physical Review Research.

[28]  J. Yeomans,et al.  Active nematics with anisotropic friction: the decisive role of the flow aligning parameter. , 2019, Soft matter.

[29]  Daniel A. Beller,et al.  Topological structure and dynamics of three-dimensional active nematics , 2019, Science.

[30]  M. Marchetti,et al.  Hydrodynamics of Active Defects: From Order to Chaos to Defect Ordering , 2019, Physical Review X.

[31]  J. Casademunt,et al.  Universal scaling of active nematic turbulence , 2019, 1906.04757.

[32]  I. Aranson,et al.  Understanding Dense Active Nematics from Microscopic Models. , 2019, Physical review letters.

[33]  J. Yeomans,et al.  Reconfigurable flows and defect landscape of confined active nematics , 2019, Communications Physics.

[34]  J. Casademunt,et al.  Selection mechanism at the onset of active turbulence , 2019, Nature Physics.

[35]  E. Bertin,et al.  Dense active matter model of motion patterns in confluent cell monolayers , 2019, Nature Communications.

[36]  Chwee Teck Lim,et al.  Material approaches to active tissue mechanics , 2018, Nature Reviews Materials.

[37]  D. Marenduzzo,et al.  A growing bacterial colony in two dimensions as an active nematic , 2018, Nature Communications.

[38]  Karthik Duraisamy,et al.  Turbulence Modeling in the Age of Data , 2018, Annual Review of Fluid Mechanics.

[39]  P. Silberzan,et al.  Turbulent Dynamics of Epithelial Cell Cultures. , 2017, Physical review letters.

[40]  Alberto Fernandez-Nieves,et al.  Curvature-induced defect unbinding and dynamics in active nematic toroids , 2017, Nature Physics.

[41]  Daniel J. Needleman,et al.  Active matter at the interface between materials science and cell biology , 2017 .

[42]  J. Yeomans,et al.  Dancing disclinations in confined active nematics. , 2017, Soft matter.

[43]  F. Sagués,et al.  Taming active turbulence with patterned soft interfaces , 2016, Nature Communications.

[44]  Sumesh P. Thampi,et al.  Active turbulence in active nematics , 2016, 1605.00808.

[45]  Frank Jenko,et al.  New class of turbulence in active fluids , 2015, Proceedings of the National Academy of Sciences.

[46]  L. Giomi,et al.  Orientational properties of nematic disclinations. , 2015, Soft matter.

[47]  Luca Giomi,et al.  Geometry and topology of turbulence in active nematics , 2014, 1409.1555.

[48]  J. Yeomans,et al.  Biphasic, lyotropic, active nematics. , 2014, Physical review letters.

[49]  Emmanuelle Gouillart,et al.  scikit-image: image processing in Python , 2014, PeerJ.

[50]  Rastko Sknepnek,et al.  Defect dynamics in active nematics , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[51]  R. Golestanian,et al.  Instabilities and topological defects in active nematics , 2013, 1312.4836.

[52]  Slobodan Žumer,et al.  Visualisation methods for complex nematic fields , 2013 .

[53]  Daniel T. N. Chen,et al.  Spontaneous motion in hierarchically assembled active matter , 2012, Nature.

[54]  H. H. Wensink,et al.  Meso-scale turbulence in living fluids , 2012, Proceedings of the National Academy of Sciences.

[55]  Gaël Varoquaux,et al.  Mayavi: 3D Visualization of Scientific Data , 2010, Computing in Science & Engineering.

[56]  Michael J. Black,et al.  Secrets of optical flow estimation and their principles , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[57]  M. Cates,et al.  Hydrodynamic of Active Liquid Crystals: A Hybrid Lattice Boltzmann Approach , 2008 .

[58]  Sriram Ramaswamy,et al.  Active-filament hydrodynamics: instabilities, boundary conditions and rheology , 2007 .

[59]  K. Takeuchi,et al.  Directed percolation criticality in turbulent liquid crystals. , 2007, Physical review letters.

[60]  Sriram Ramaswamy,et al.  Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. , 2001, Physical review letters.

[61]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[62]  Ulrich W. Suter,et al.  Shape of unperturbed linear polymers: polypropylene , 1985 .

[63]  R. Huilgol A class of motions with constant stretch history , 1971 .

[64]  R. Thompson,et al.  Persistence of straining and flow classification , 2005 .