Large-Scale Chaos and Fluctuations in Active Nematics

Ngo, Sandrine; Peshkov, Anton; Aranson, Igor S.; Bertin, Eric; Ginelli, Francesco; Chaté, Hugues

doi:10.1103/PhysRevLett.113.038302

Title: Large-Scale Chaos and Fluctuations in Active Nematics

Journal Article · Tue Jul 01 00:00:00 EDT 2014 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.113.038302· OSTI ID:1395042

Ngo, Sandrine; Peshkov, Anton; Aranson, Igor S.; Bertin, Eric; Ginelli, Francesco; Chaté, Hugues

We show that dry active nematics, e.g., collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, bandlike structures in a parameter region including the linear onset of nematic order. These results are obtained from the study of both the well-known (deterministic) hydrodynamic equations describing these systems and of the self-propelled particle model they were derived from. We prove, in particular, that the chaos stems from the generic instability of the band solution of the hydrodynamic equations. Revisiting the status of the strong fluctuations and long-range correlations in the particle model, we show that the giant number fluctuations observed in the chaotic phase are a trivial consequence of density segregation. However anomalous, curvature-driven number fluctuations are present in the homogeneous quasiordered nematic phase and characterized by a nontrivial scaling exponent.

Cite

Export

Save

Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

DOE Contract Number:: AC02-06CH11357

OSTI ID:: 1395042

Journal Information:: Physical Review Letters, Vol. 113, Issue 3; ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (47)

Self-Concentration and Large-Scale Coherence in Bacterial Dynamics Dombrowski, Christopher; Cisneros, Luis; Chatkaew, Sunita Physical Review Letters, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevLett.93.098103	journal	August 2004
Topological defects and density fluctuations in collectively moving systems Schaller, V.; Bausch, A. R. Proceedings of the National Academy of Sciences, Vol. 110, Issue 12 https://doi.org/10.1073/pnas.1215368110	journal	March 2013
Pattern formation of microtubules and motors: Inelastic interaction of polar rods Aranson, Igor S.; Tsimring, Lev S. Physical Review E, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevE.71.050901	journal	May 2005
Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis Bertin, Eric; Droz, Michel; Grégoire, Guillaume Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 44 https://doi.org/10.1088/1751-8113/42/44/445001	journal	October 2009
Hydrodynamics of soft active matter Marchetti, M. C.; Joanny, J. F.; Ramaswamy, S. Reviews of Modern Physics, Vol. 85, Issue 3 https://doi.org/10.1103/RevModPhys.85.1143	journal	July 2013
Dynamics of swimming bacteria: Transition to directional order at high concentration Cisneros, Luis H.; Kessler, John O.; Ganguly, Sujoy Physical Review E, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevE.83.061907	journal	June 2011
Nonlinear Field Equations for Aligning Self-Propelled Rods Peshkov, Anton; Aranson, Igor S.; Bertin, Eric Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.268701	journal	December 2012
Defect Annihilation and Proliferation in Active Nematics Giomi, Luca; Bowick, Mark J.; Ma, Xu Physical Review Letters, Vol. 110, Issue 22 https://doi.org/10.1103/PhysRevLett.110.228101	journal	May 2013
Fluid Dynamics of Bacterial Turbulence Dunkel, Jörn; Heidenreich, Sebastian; Drescher, Knut Physical Review Letters, Vol. 110, Issue 22 https://doi.org/10.1103/PhysRevLett.110.228102	journal	May 2013
Spontaneous motion in hierarchically assembled active matter Sanchez, Tim; Chen, Daniel T. N.; DeCamp, Stephen J. Nature, Vol. 491, Issue 7424 https://doi.org/10.1038/nature11591	journal	November 2012
Theory of self-assembly of microtubules and motors Aranson, Igor S.; Tsimring, Lev S. Physical Review E, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevE.74.031915	journal	September 2006
Meso-scale turbulence in living fluids Wensink, H. H.; Dunkel, J.; Heidenreich, S. Proceedings of the National Academy of Sciences, Vol. 109, Issue 36 https://doi.org/10.1073/pnas.1202032109	journal	August 2012
Large-Scale Collective Properties of Self-Propelled Rods Ginelli, Francesco; Peruani, Fernando; Bär, Markus Physical Review Letters, Vol. 104, Issue 18 https://doi.org/10.1103/PhysRevLett.104.184502	journal	May 2010
Instabilities and chaos in a kinetic equation for active nematics Shi, Xia-qing; Chaté, Hugues; Ma, Yu-qiang New Journal of Physics, Vol. 16, Issue 3 https://doi.org/10.1088/1367-2630/16/3/035003	journal	March 2014
The Mechanics and Statistics of Active Matter Ramaswamy, Sriram Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-104101	journal	August 2010
Polar patterns of driven filaments Schaller, Volker; Weber, Christoph; Semmrich, Christine Nature, Vol. 467, Issue 7311 https://doi.org/10.1038/nature09312	journal	September 2010
Novel Type of Phase Transition in a System of Self-Driven Particles Vicsek, Tamás; Czirók, András; Ben-Jacob, Eshel Physical Review Letters, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevLett.75.1226	journal	August 1995
Universal Fluctuations in Correlated Systems Bramwell, S. T.; Christensen, K.; Fortin, J. -Y. Physical Review Letters, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevLett.84.3744	journal	April 2000
Hydrodynamics of isotropic and liquid crystalline active polymer solutions Ahmadi, Aphrodite; Marchetti, M. C.; Liverpool, T. B. Physical Review E, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevE.74.061913	journal	December 2006
Physical Properties of Collective Motion in Suspensions of Bacteria Sokolov, Andrey; Aranson, Igor S. Physical Review Letters, Vol. 109, Issue 24 https://doi.org/10.1103/PhysRevLett.109.248109	journal	December 2012
Active nematics on a substrate: Giant number fluctuations and long-time tails Ramaswamy, S.; Simha, R. Aditi; Toner, J. Europhysics Letters (EPL), Vol. 62, Issue 2 https://doi.org/10.1209/epl/i2003-00346-7	journal	April 2003
Concentration Dependence of the Collective Dynamics of Swimming Bacteria Sokolov, Andrey; Aranson, Igor S.; Kessler, John O. Physical Review Letters, Vol. 98, Issue 15 https://doi.org/10.1103/PhysRevLett.98.158102	journal	April 2007
Fluctuations and pattern formation in self-propelled particles Mishra, Shradha; Baskaran, Aparna; Marchetti, M. Cristina Physical Review E, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevE.81.061916	journal	June 2010
Boltzmann and hydrodynamic description for self-propelled particles Bertin, Eric; Droz, Michel; Grégoire, Guillaume Physical Review E, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevE.74.022101	journal	August 2006
Enhanced Diffusion and Ordering of Self-Propelled Rods Baskaran, Aparna; Marchetti, M. Cristina Physical Review Letters, Vol. 101, Issue 26 https://doi.org/10.1103/PhysRevLett.101.268101	journal	December 2008
Instabilities and Pattern Formation in Active Particle Suspensions: Kinetic Theory and Continuum Simulations Saintillan, David; Shelley, Michael J. Physical Review Letters, Vol. 100, Issue 17 https://doi.org/10.1103/PhysRevLett.100.178103	journal	April 2008
Collective motion of self-propelled particles interacting without cohesion Chaté, Hugues; Ginelli, Francesco; Grégoire, Guillaume Physical Review E, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevE.77.046113	journal	April 2008
Living liquid crystals Zhou, S.; Sokolov, A.; Lavrentovich, O. D. Proceedings of the National Academy of Sciences, Vol. 111, Issue 4 https://doi.org/10.1073/pnas.1321926111	journal	January 2014
Instabilities of Isotropic Solutions of Active Polar Filaments Liverpool, Tanniemola B.; Marchetti, M. Cristina Physical Review Letters, Vol. 90, Issue 13 https://doi.org/10.1103/PhysRevLett.90.138102	journal	April 2003
Long-Lived Giant Number Fluctuations in a Swarming Granular Nematic Narayan, V.; Ramaswamy, S.; Menon, N. Science, Vol. 317, Issue 5834 https://doi.org/10.1126/science.1140414	journal	July 2007
Simple Model for Active Nematics: Quasi-Long-Range Order and Giant Fluctuations Chaté, Hugues; Ginelli, Francesco; Montagne, Raúl Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.180602	journal	May 2006
Hydrodynamics of self-propelled hard rods Baskaran, Aparna; Marchetti, M. Cristina Physical Review E, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevE.77.011920	journal	January 2008
Onset of Collective and Cohesive Motion Grégoire, Guillaume; Chaté, Hugues Physical Review Letters, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevLett.92.025702	journal	January 2004
Large-scale vortex lattice emerging from collectively moving microtubules Sumino, Yutaka; Nagai, Ken H.; Shitaka, Yuji Nature, Vol. 483, Issue 7390 https://doi.org/10.1038/nature10874	journal	March 2012
Emergent states in dense systems of active rods: from swarming to turbulence Wensink, H. H.; Löwen, H. Journal of Physics: Condensed Matter, Vol. 24, Issue 46 https://doi.org/10.1088/0953-8984/24/46/464130	journal	October 2012
Flocks, herds, and schools: A quantitative theory of flocking Toner, John; Tu, Yuhai Physical Review E, Vol. 58, Issue 4 https://doi.org/10.1103/PhysRevE.58.4828	journal	October 1998
Reanalysis of the hydrodynamic theory of fluid, polar-ordered flocks Toner, John Physical Review E, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevE.86.031918	journal	September 2012
Mesoscopic theory for fluctuating active nematics Bertin, Eric; Chaté, Hugues; Ginelli, Francesco New Journal of Physics, Vol. 15, Issue 8 https://doi.org/10.1088/1367-2630/15/8/085032	journal	August 2013
Nonequilibrium steady states in polar active fluids Tjhung, Elsen; Cates, Michael E.; Marenduzzo, Davide Soft Matter, Vol. 7, Issue 16 https://doi.org/10.1039/c1sm05396e	journal	January 2011
Generic theory of active polar gels: a paradigm for cytoskeletal dynamics Kruse, K.; Joanny, J. F.; Jülicher, F. The European Physical Journal E, Vol. 16, Issue 1 https://doi.org/10.1140/epje/e2005-00002-5	journal	January 2005
Asters, Vortices, and Rotating Spirals in Active Gels of Polar Filaments Kruse, K.; Joanny, J. F.; Jülicher, F. Physical Review Letters, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevLett.92.078101	journal	February 2004
Frozen steady states in active systems Schaller, V.; Weber, C. A.; Hammerich, B. Proceedings of the National Academy of Sciences, Vol. 108, Issue 48 https://doi.org/10.1073/pnas.1107540108	journal	November 2011
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
Velocity Correlations in an Active Nematic Thampi, Sumesh P.; Golestanian, Ramin; Yeomans, Julia M. Physical Review Letters, Vol. 111, Issue 11 https://doi.org/10.1103/PhysRevLett.111.118101	journal	September 2013
Revisiting the Flocking Transition Using Active Spins Solon, A. P.; Tailleur, J. Physical Review Letters, Vol. 111, Issue 7 https://doi.org/10.1103/PhysRevLett.111.078101	journal	August 2013
Long-Range Order in a Two-Dimensional Dynamical $XY$ Model: How Birds Fly Together Toner, John; Tu, Yuhai Physical Review Letters, Vol. 75, Issue 23 https://doi.org/10.1103/PhysRevLett.75.4326	journal	December 1995
Comment on "Long-Lived Giant Number Fluctuations in a Swarming Granular Nematic" Aranson, I. S.; Snezhko, A.; Olafsen, J. S. Science, Vol. 320, Issue 5876 https://doi.org/10.1126/science.1153456	journal	May 2008

Similar Records

Resistivity near a nematic quantum critical point: Impact of acoustic phonons

Journal Article · Tue Sep 03 00:00:00 EDT 2019 · Physical Review. B · OSTI ID:1395042

de Carvalho, V. S.; Fernandes, R. M.

Exact Coherent Structures and Phase Space Geometry of Preturbulent 2D Active Nematic Channel Flow

Journal Article · Thu Jan 13 00:00:00 EST 2022 · Physical Review Letters · OSTI ID:1395042

Wagner, Caleb G.; Norton, Michael M.; Park, Jae Sung; +1 more

Robustness of the periodic and chaotic orientational behavior of tumbling nematic liquid crystals

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:1395042

Heidenreich, Sebastian; Hess, Siegfried; Ilg, Patrick

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Large-Scale Chaos and Fluctuations in Active Nematics

Citation Formats

References (47)

Similar Records

Related Subjects