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Active fluids exhibit spontaneous flows with complex spatiotemporal structure, which have been observed in bacterial suspensions, sperm cells, cytoskeletal suspensions, self-propelled colloids, and cell tissues.
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Fully developed turbulence and statistical mechanics
Rose, H. & Sulem, P · 1978
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Kraichnan, R. H. & Montgomery, D · 1980
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Kléman, M · 1989
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The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers
Kolmogorov, A. N · 1991
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Pattern formation outside of equilibrium
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The Physics of Liquid Crystals (Oxford University Press, 1993), 2nd edn
de Gennes, P.-G. & Prost, J · 1993
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Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
Chate, H · 1994
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Turbulence. The legacy of A.N. Kolmogorov (Cambridge University Press, 1995)
Frisch, U · 1995
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Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together
Toner, J. & Tu, Y · 1995
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Novel Type of Phase Transition in a System of Self-Driven Particles
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I. & Shochet, O · 1995
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Sound Waves and the Absence of Galilean Invariance in Flocks
Tu, Y., Toner, J. & Ulm, M · 1998
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Elastic turbulence in a polymer solution flow
Groisman, A. & Steinberg, V · 2000
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Efficient mixing at low Reynolds numbers using polymer additives
Groisman, A. & Steinberg, V · 2001
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The world of the complex Ginzburg-Landau equation
Aranson, I. & Kramer, L · 2002
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Hydrodynamic Fluctuations and Instabilities in Ordered Suspensions of Self-Propelled Particles
Simha, R. A. & Ramaswamy, S · 2002
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Self-Concentration and Large-Scale Coherence in Bacterial Dynamics
Dombrowski, C., Cisneros, L., Chatkaew, S., Goldstein, R. E. & Kessler, J. O · 2004
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Rheology of Active-Particle Suspensions
Hatwalne, Y., Ramaswamy, S., Rao, M. & Simha, R · 2004
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Hydrodynamics and phases of flocks
Toner, J., Tu, Y. & Ramaswamy, S · 2005
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Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
Kruse, K., Joanny, J. F., Jülicher, F., Prost, J. & Sekimoto, K · 2005
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Spontaneous flow transition in active polar gels
Voituriez, R., Joanny, J. F. & Prost, J · 2005
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Lessons from Hydrodynamic Turbulence
Falkovich, G. & Sreenivasan, K. R · 2006
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Patterns and collective behavior in granular media: Theoretical concepts
Aranson, I. S. & Tsimring, L. S · 2006
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Fluid dynamics of self-propelled microorganisms, from individuals to concentrated populations
Cisneros, L. H., Cortez, R., Dombrowski, C., Goldstein, R. E. & Kessler, J. O · 2007
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Concentration Dependence of the Collective Dynamics of Swimming Bacteria
Sokolov, A., Aranson, I. S., Kessler, J. O. & Goldstein, R. E · 2007
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Long-lived giant number fluctuations in a swarming granular nematic
Narayan, V., Ramaswamy, S. & Menon, N · 2007
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Model for dynamical coherence in thin films of self-propelled microorganisms
Aranson, I. S., Sokolov, A., Kessler, J. O. & Goldstein, R. E · 2007
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Collective Swimming and the Dynamics of Bacterial Turbulence
Wolgemuth, C. W · 2008
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Complex Spontaneous Flows and Concentration Banding in Active Polar Films
Giomi, L., Marchetti, M. C. & Liverpool, T. B · 2008
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Reduction of Viscosity in Suspension of Swimming Bacteria
Sokolov, A. & Aranson, I · 2009
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Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
Bertin, E., Droz, M. & Grégoire, G · 2009
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Spontaneous flow states in active nematics: A unified picture
Edwards, S. A. & Yeomans, J. M · 2009
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Sheared active fluids: Thickening, thinning, and vanishing viscosity
Giomi, L., Liverpool, T. B. & Marchetti, M. C · 2010
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The Mechanics and Statistics of Active Matter
Ramaswamy, S · 2010
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Energy Transport in a Concentrated Suspension of Bacteria
Ishikawa, T. et al · 2011
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Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering
Drescher, K., Dunkel, J., Cisneros, L. H., Ganguly, S. & Goldstein, R. E · 2011
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Collective Hydrodynamics of Swimming Microorganisms: Living Fluids
Koch, D. L. & Subramanian, G · 2011
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Nonequilibrium steady states in polar active fluids
Tjhung, E., Cates, M. E. & Marenduzzo, D · 2011
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Excitable Patterns in Active Nematics
Giomi, L., Mahadevan, L., Chakraborty, B. & Hagan, M. F · 2011
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Nonlinear dynamics and rheology of active fluids: Simulations in two dimensions
Fielding, S. M., Marenduzzo, D. & Cates, M. E · 2011
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Two-Dimensional Turbulence
Boffetta, G. & Ecke, R. E · 2012
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Physical Properties of Collective Motion in Suspensions of Bacteria
Sokolov, A. & Aranson, I. S · 2012
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Meso-scale turbulence in living fluids
Wensink, H. H. et al · 2012
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Spontaneous motion in hierarchically assembled active matter
Sanchez, T., Chen, D. T. N., DeCamp, S. J., Heymann, M. & Dogic, Z · 2012
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Polar patterns in active fluids
Giomi, L. & Marchetti, M. C · 2012
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Fluid Dynamics of Bacterial Turbulence
Dunkel, J. et al · 2013
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Hydrodynamics of soft active matter
Marchetti, M. C. et al · 2013
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Minimal continuum theories of structure formation in dense active fluids
Dunkel, J., Heidenreich, S., Bär, M. & Goldstein, R. E · 2013
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Non-Newtonian Viscosity of Escherichia coli Suspensions
Gachelin, J. et al · 2013
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Propulsion and navigation within the advancing monolayer sheet
Kim, J. H. et al · 2013
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Defect Annihilation and Proliferation in Active Nematics
Giomi, L., Bowick, M. J., Ma, X. & Marchetti, M. C · 2013
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Velocity Correlations in an Active Nematic
Thampi, S. P., Golestanian, R. & Yeomans, J. M · 2013
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Tunable dynamics of microtubule-based active isotropic gels
Henkin, G., DeCamp, S. J., Chen, D. T. N., Sanchez, T. & Dogic, Z · 2014
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Vortex Arrays and Mesoscale Turbulence of Self-Propelled Particles
Großmann, R., Romanczuk, P., Bär, M. & Schimansky-Geier, L · 2014
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Spatio-temporal dynamics of an active, polar, viscoelastic ring
Marcq, P · 2014
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Instabilities and topological defects in active nematics
Thampi, S. P., Golestanian, R. & Yeomans, J. M · 2014
Cited alongside, same era.
Vorticity, defects and correlations in active turbulence
Thampi, S. P., Golestanian, R. & Yeomans, J. M · 2014
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Defect dynamics in active nematics
Giomi, L., Bowick, M. J., Mishra, P., Sknepnek, R. & Marchetti, M. C · 2014
Cited alongside, same era.
Large-Scale Chaos and Fluctuations in Active Nematics
Ngo, S. et al · 2014
Cited alongside, same era.
Active nematic materials with substrate friction
Thampi, S. P., Golestanian, R. & Yeomans, J. M · 2014
Cited alongside, same era.
The nature of triad interactions in active turbulence
Słomka, J., Suwara, P. & Dunkel, J · 2018
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Sounds and hydrodynamics of polar active fluids
Geyer, D., Morin, A. & Bartolo, D · 2018
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Active nematics
Doostmohammadi, A., Ignés-Mullol, J., Yeomans, J. M. & Sagués, F · 2018
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Defect Unbinding in Active Nematics
Shankar, S., Ramaswamy, S., Marchetti, M. C. & Bowick, M. J · 2018
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A nonequilibrium force can stabilize 2D active nematics
Maitra, A. et al · 2018
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Curvature-induced defect unbinding and dynamics in active nematic toroids
Ellis, P. W. et al · 2018
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Turbulence of swarming sperm
Creppy, A., Praud, O., Druart, X., Kohnke, P. L. & Plouraboué, F · 2015
Cited alongside, same era.
Cell division: a source of active stress in cellular monolayers
Doostmohammadi, A. et al · 2015
Cited alongside, same era.
Mesoscopic turbulence and local order in Janus particles self-propelling under an ac electric field
Nishiguchi, D. & Sano, M · 2015
Cited alongside, same era.
New class of turbulence in active fluids
Bratanov, V., Jenko, F. & Frey, E · 2015
Cited alongside, same era.
Turning Bacteria Suspensions into Superfluids
López, H. M., Gachelin, J., Douarche, C., Auradou, H. & Clément, E · 2015
Cited alongside, same era.
Active gel physics
Prost, J., Jülicher, F. & Joanny, J.-F · 2015
Cited alongside, same era.
Twist-induced crossover from two-dimensional to three-dimensional turbulence in active nematics
Shendruk, T. N., Thijssen, K., Yeomans, J. M. & Doostmohammadi, A · 2018
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Scaling Relations in Elastic Turbulence
Steinberg, V · 2019
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Data-driven quantitative modeling of bacterial active nematics
Li, H. et al · 2019
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Statistical properties of autonomous flows in 2D active nematics
Lemma, L. M., DeCamp, S. J., You, Z., Giomi, L. & Dogic, Z · 2019
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Selection mechanism at the onset of active turbulence
Martínez-Prat, B., Ignés-Mullol, J., Casademunt, J. & Sagués, F · 2019
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Topological chaos in active nematics
Tan, A. J. et al · 2019
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Tuning the Random Walk of Active Colloids: From Individual Run-and-Tumble to Dynamic Clustering
Karani, H., Pradillo, G. E. & Vlahovska, P. M · 2019
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Active wetting of epithelial tissues
Pérez-González, C. et al · 2019
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Phase Transition to Large Scale Coherent Structures in Two-Dimensional Active Matter Turbulence
Linkmann, M., Boffetta, G., Marchetti, M. C. & Eckhardt, B · 2019
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Topological defects in active liquid crystals
Aranson, I. S · 2019
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Coherent motion of dense active matter
Doostmohammadi, A. & Yeomans, J. M · 2019
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Reconfigurable flows and defect landscape of confined active nematics
Hardoüin, J. et al · 2019
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Particle-resolved lattice Boltzmann simulations of 3-dimensional active turbulence
Bárdfalvy, D., Nordanger, H., Nardini, C., Morozov, A. & Stenhammar, J · 2019
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Dry active turbulence in a model for microtubule–motor mixtures
Maryshev, I., Goryachev, A. B., Marenduzzo, D. & Morozov, A · 2019
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Understanding Dense Active Nematics from Microscopic Models
Patelli, A., Djafer-Cherif, I., Aranson, I. S., Bertin, E. & Chaté, H · 2019
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Hydrodynamics of Active Defects: From Order to Chaos to Defect Ordering
Shankar, S. & Marchetti, M. C · 2019
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Topology of Three-Dimensional Active Nematic Turbulence Confined to Droplets
Čopar, S., Aplinc, J., Kos, Ž., Žumer, S. & Ravnik, M · 2019
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Rotation and propulsion in 3d active chiral droplets
Carenza, L. N., Gonnella, G., Marenduzzo, D. & Negro, G · 2019
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The stormy fluid dynamics of the living cell
Needleman, D. & Shelley, M · 2019
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Imaging the emergence of bacterial turbulence using light-powered Escherichia coli
Peng, Y., Liu, Z. & Cheng, X · 2020
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Density Fluctuations and Energy Spectra of 3D Bacterial Suspensions
Liu, Z., Zeng, W., Ma, X. & Cheng, X · 2020
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Active mucus–cilia hydrodynamic coupling drives self-organization of human bronchial epithelium
Loiseau, E. et al · 2020
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Self-Propelled Rods: Insights and Perspectives for Active Matter
Bär, M., Großmann, R., Heidenreich, S. & Peruani, F · 2020
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Active phase separation by turning toward the crowd
Zhang, J., Alert, R., Yan, J., Wingreen, N. S. & Granick, S · 2020
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Physical Models of Collective Cell Migration
Alert, R. & Trepat, X · 2020
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Condensate formation and multiscale dynamics in two-dimensional active suspensions
Linkmann, M., Marchetti, M. C., Boffetta, G. & Eckhardt, B · 2020
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Kolmogorovian Active Turbulence of a Sparse Assembly of Interacting Marangoni Surfers
Bourgoin, M. et al · 2020
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Multiscale control of active emulsion dynamics
Carenza, L. N., Biferale, L. & Gonnella, G · 2020
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Swimming Suppresses Correlations in Dilute Suspensions of Pusher Microorganisms
Škultéty, V., Nardini, C., Stenhammar, J., Marenduzzo, D. & Morozov, A · 2020
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Universal scaling of active nematic turbulence
Alert, R., Joanny, J.-F. & Casademunt, J · 2020
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Cascade or not cascade? Energy transfer and elastic effects in active nematics
Carenza, L. N., Biferale, L. & Gonnella, G · 2020
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Dry aligning dilute active matter
Chaté, H · 2020
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Active nematics with anisotropic friction: the decisive role of the flow aligning parameter
Thijssen, K., Metselaar, L., Yeomans, J. M. & Doostmohammadi, A · 2020
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Propagation of active nematic–isotropic interfaces on substrates
Coelho, R. C. V., Araújo, N. A. M. & Telo da Gama, M. M · 2020
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Role of Friction in Multidefect Ordering
Thijssen, K., Nejad, M. R. & Yeomans, J. M · 2020
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Scale-free defect ordering in passive and active nematics
Pearce, D. J. G. et al · 2020
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Topological structure and dynamics of three-dimensional active nematics
Duclos, G. et al · 2020
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Three-Dimensional Active Defect Loops
Binysh, J., Kos, Ž., Čopar, S., Ravnik, M. & Alexander, G. P · 2020
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Spectral energy analysis of bulk three-dimensional active nematic turbulence
Krajnik, Ž., Kos, Ž. & Ravnik, M · 2020
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Friction scaling laws for transport in active turbulence
C. P., S. & Joy, A · 2020
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Topological turbulence in the membrane of a living cell
Tan, T. H. et al · 2020
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Scaling regimes of active turbulence with external dissipation
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Energetics of mesoscale cell turbulence in two-dimensional monolayers
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Topological defects promote layer formation in Myxococcus xanthus colonies
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Motility-induced clustering and meso-scale turbulence in active polar fluids
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Submersed Micropatterned Structures Control Active Nematic Flow, Topology and Concentration
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