DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Emergence of Radial Tree of Bend Stripes in Active Nematics

Abstract

Living liquid crystals, a realization of active nematics where a lyotropic liquid crystal is combined with active bacteria, exhibit a plethora of out-of-equilibrium phenomena that range from active turbulence and dynamic spatiotemporal patterns to the creation and annihilation of motile topological defects. Experiments and hydrodynamic simulations are used here to report on the emergence of bend stripes, which arise as spontaneous undulations of the director field in circularly aligned lyotropic liquid crystals doped with bacteria. The interplay among bacterial-induced hydrodynamic flows and elastic forces in the material induces remarkable deformation patterns consisting of branched, radially elongated bands of a high curvature of the director field. The average number of such branches increases with the distance from the center of the circular alignment, leading to the formation of a radial tree of bands that is reminiscent of a snowflake structure. Hydrodynamic simulations, which are in agreement with the experiments, are used to explain the origin of such structures and to provide additional insights into regimes that are beyond the limit of experimental measurements. Specifically, it is found that when activity is switched off in the early stages of pattern formation, a pronounced decay of bend-distortion energy ensues, with little change ofmore » the splay energy, serving to confirm that the bend stripes are an outcome of activity-driven bend-instability phenomena. Taken together, experiments and simulations demonstrate a system in which strain and geometry can be combined to dynamically manipulate pattern formation in active matter, paving the way to a deeper understanding and finer control of active colloidal systems.« less

Authors:
; ; ; ;
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1545959
Alternate Identifier(s):
OSTI ID: 1557250
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 9 Journal Issue: 3; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Sokolov, Andrey, Mozaffari, Ali, Zhang, Rui, de Pablo, Juan J., and Snezhko, Alexey. Emergence of Radial Tree of Bend Stripes in Active Nematics. United States: N. p., 2019. Web. doi:10.1103/PhysRevX.9.031014.
Sokolov, Andrey, Mozaffari, Ali, Zhang, Rui, de Pablo, Juan J., & Snezhko, Alexey. Emergence of Radial Tree of Bend Stripes in Active Nematics. United States. https://doi.org/10.1103/PhysRevX.9.031014
Sokolov, Andrey, Mozaffari, Ali, Zhang, Rui, de Pablo, Juan J., and Snezhko, Alexey. Mon . "Emergence of Radial Tree of Bend Stripes in Active Nematics". United States. https://doi.org/10.1103/PhysRevX.9.031014.
@article{osti_1545959,
title = {Emergence of Radial Tree of Bend Stripes in Active Nematics},
author = {Sokolov, Andrey and Mozaffari, Ali and Zhang, Rui and de Pablo, Juan J. and Snezhko, Alexey},
abstractNote = {Living liquid crystals, a realization of active nematics where a lyotropic liquid crystal is combined with active bacteria, exhibit a plethora of out-of-equilibrium phenomena that range from active turbulence and dynamic spatiotemporal patterns to the creation and annihilation of motile topological defects. Experiments and hydrodynamic simulations are used here to report on the emergence of bend stripes, which arise as spontaneous undulations of the director field in circularly aligned lyotropic liquid crystals doped with bacteria. The interplay among bacterial-induced hydrodynamic flows and elastic forces in the material induces remarkable deformation patterns consisting of branched, radially elongated bands of a high curvature of the director field. The average number of such branches increases with the distance from the center of the circular alignment, leading to the formation of a radial tree of bands that is reminiscent of a snowflake structure. Hydrodynamic simulations, which are in agreement with the experiments, are used to explain the origin of such structures and to provide additional insights into regimes that are beyond the limit of experimental measurements. Specifically, it is found that when activity is switched off in the early stages of pattern formation, a pronounced decay of bend-distortion energy ensues, with little change of the splay energy, serving to confirm that the bend stripes are an outcome of activity-driven bend-instability phenomena. Taken together, experiments and simulations demonstrate a system in which strain and geometry can be combined to dynamically manipulate pattern formation in active matter, paving the way to a deeper understanding and finer control of active colloidal systems.},
doi = {10.1103/PhysRevX.9.031014},
journal = {Physical Review. X},
number = 3,
volume = 9,
place = {United States},
year = {Mon Jul 01 00:00:00 EDT 2019},
month = {Mon Jul 01 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevX.9.031014

Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Spontaneous topological charging of tactoids in a living nematic
journal, April 2018

  • Genkin, Mikhail M.; Sokolov, Andrey; Aranson, Igor S.
  • New Journal of Physics, Vol. 20, Issue 4
  • DOI: 10.1088/1367-2630/aab1a3

Interplay of structure, elasticity, and dynamics in actin-based nematic materials
journal, December 2017

  • Zhang, Rui; Kumar, Nitin; Ross, Jennifer L.
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 2
  • DOI: 10.1073/pnas.1713832115

Self-Concentration and Large-Scale Coherence in Bacterial Dynamics
journal, August 2004


Instabilities and topological defects in active nematics
journal, January 2014

  • Thampi, Sumesh P.; Golestanian, Ramin; Yeomans, Julia M.
  • EPL (Europhysics Letters), Vol. 105, Issue 1
  • DOI: 10.1209/0295-5075/105/18001

Dancing disclinations in confined active nematics
journal, January 2017

  • Shendruk, Tyler N.; Doostmohammadi, Amin; Thijssen, Kristian
  • Soft Matter, Vol. 13, Issue 21
  • DOI: 10.1039/C6SM02310J

Active nematics
journal, August 2018

  • Doostmohammadi, Amin; Ignés-Mullol, Jordi; Yeomans, Julia M.
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-05666-8

Hydrodynamics of soft active matter
journal, July 2013


Dynamics of swimming bacteria: Transition to directional order at high concentration
journal, June 2011


Defect Annihilation and Proliferation in Active Nematics
journal, May 2013


Tunable structure and dynamics of active liquid crystals
journal, October 2018


Spontaneous motion in hierarchically assembled active matter
journal, November 2012

  • Sanchez, Tim; Chen, Daniel T. N.; DeCamp, Stephen J.
  • Nature, Vol. 491, Issue 7424
  • DOI: 10.1038/nature11591

Active micromachines: Microfluidics powered by mesoscale turbulence
journal, July 2016

  • Thampi, Sumesh P.; Doostmohammadi, Amin; Shendruk, Tyler N.
  • Science Advances, Vol. 2, Issue 7
  • DOI: 10.1126/sciadv.1501854

Instability of expanding bacterial droplets
journal, April 2018

  • Sokolov, Andrey; Rubio, Leonardo Dominguez; Brady, John F.
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-03758-z

Selection mechanism at the onset of active turbulence
journal, February 2019

  • Martínez-Prat, Berta; Ignés-Mullol, Jordi; Casademunt, Jaume
  • Nature Physics, Vol. 15, Issue 4
  • DOI: 10.1038/s41567-018-0411-6

The interplay between activity and filament flexibility determines the emergent properties of active nematics
journal, January 2019

  • Joshi, Abhijeet; Putzig, Elias; Baskaran, Aparna
  • Soft Matter, Vol. 15, Issue 1
  • DOI: 10.1039/C8SM02202J

Topological defects in confined populations of spindle-shaped cells
journal, September 2016

  • Duclos, Guillaume; Erlenkämper, Christoph; Joanny, Jean-François
  • Nature Physics, Vol. 13, Issue 1
  • DOI: 10.1038/nphys3876

Polar patterns of driven filaments
journal, September 2010

  • Schaller, Volker; Weber, Christoph; Semmrich, Christine
  • Nature, Vol. 467, Issue 7311
  • DOI: 10.1038/nature09312

Spontaneous flow states in active nematics: A unified picture
journal, January 2009


Individual behavior and pairwise interactions between microswimmers in anisotropic liquid
journal, January 2015


Perfect nematic order in confined monolayers of spindle-shaped cells
journal, January 2014

  • Duclos, G.; Garcia, S.; Yevick, H. G.
  • Soft Matter, Vol. 10, Issue 14
  • DOI: 10.1039/C3SM52323C

Topological Defects in a Living Nematic Ensnare Swimming Bacteria
journal, March 2017

  • Genkin, Mikhail M.; Sokolov, Andrey; Lavrentovich, Oleg D.
  • Physical Review X, Vol. 7, Issue 1
  • DOI: 10.1103/PhysRevX.7.011029

Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
journal, September 2007


Hydrodynamic Fluctuations and Instabilities in Ordered Suspensions of Self-Propelled Particles
journal, July 2002


Concentration Dependence of the Collective Dynamics of Swimming Bacteria
journal, April 2007


Fluid flows created by swimming bacteria drive self-organization in confined suspensions
journal, June 2014

  • Lushi, Enkeleida; Wioland, Hugo; Goldstein, Raymond E.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 27
  • DOI: 10.1073/pnas.1405698111

Topological defects in epithelia govern cell death and extrusion
journal, April 2017

  • Saw, Thuan Beng; Doostmohammadi, Amin; Nier, Vincent
  • Nature, Vol. 544, Issue 7649
  • DOI: 10.1038/nature21718

Excitable Patterns in Active Nematics
journal, May 2011


Data-driven quantitative modeling of bacterial active nematics
journal, December 2018

  • Li, He; Shi, Xia-qing; Huang, Mingji
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 3
  • DOI: 10.1073/pnas.1812570116

Defect-Mediated Morphologies in Growing Cell Colonies
journal, July 2016


Antipolar ordering of topological defects in active liquid crystals
journal, September 2016


A Molecular Clutch Disables Flagella in the Bacillus subtilis Biofilm
journal, June 2008


From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals
journal, September 2014

  • Han, Jiequn; Luo, Yi; Wang, Wei
  • Archive for Rational Mechanics and Analysis, Vol. 215, Issue 3
  • DOI: 10.1007/s00205-014-0792-3

Curvature-induced defect unbinding and dynamics in active nematic toroids
journal, October 2017

  • Ellis, Perry W.; Pearce, Daniel J. G.; Chang, Ya-Wen
  • Nature Physics, Vol. 14, Issue 1
  • DOI: 10.1038/nphys4276

Orientational order of motile defects in active nematics
journal, August 2015

  • DeCamp, Stephen J.; Redner, Gabriel S.; Baskaran, Aparna
  • Nature Materials, Vol. 14, Issue 11
  • DOI: 10.1038/nmat4387

Topological defects control collective dynamics in neural progenitor cell cultures
journal, April 2017

  • Kawaguchi, Kyogo; Kageyama, Ryoichiro; Sano, Masaki
  • Nature, Vol. 545, Issue 7654
  • DOI: 10.1038/nature22321

Living liquid crystals
journal, January 2014

  • Zhou, S.; Sokolov, A.; Lavrentovich, O. D.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 4
  • DOI: 10.1073/pnas.1321926111

Self-organized dynamics and the transition to turbulence of confined active nematics
journal, February 2019

  • Opathalage, Achini; Norton, Michael M.; Juniper, Michael P. N.
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 11
  • DOI: 10.1073/pnas.1816733116

Negative stiffness and modulated states in active nematics
journal, January 2016

  • Srivastava, Pragya; Mishra, Prashant; Marchetti, M. Cristina
  • Soft Matter, Vol. 12, Issue 39
  • DOI: 10.1039/C6SM01493C

Physics of colloidal dispersions in nematic liquid crystals
journal, October 2001


Analytical structure, dynamics, and coarse graining of a kinetic model of an active fluid
journal, September 2017


Geometry and Topology of Turbulence in Active Nematics
journal, July 2015


Command of active matter by topological defects and patterns
journal, November 2016


Hydrodynamics and Rheology of Active Liquid Crystals: A Numerical Investigation
journal, March 2007


Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
journal, January 2016

  • Wioland, Hugo; Woodhouse, Francis G.; Dunkel, Jörn
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3607

Tunable dynamics of microtubule-based active isotropic gels
journal, November 2014

  • Henkin, Gil; DeCamp, Stephen J.; Chen, Daniel T. N.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2029
  • DOI: 10.1098/rsta.2014.0142

Transition from turbulent to coherent flows in confined three-dimensional active fluids
journal, March 2017

  • Wu, Kun-Ta; Hishamunda, Jean Bernard; Chen, Daniel T. N.
  • Science, Vol. 355, Issue 6331
  • DOI: 10.1126/science.aal1979

Stabilization of active matter by flow-vortex lattices and defect ordering
journal, February 2016

  • Doostmohammadi, Amin; Adamer, Michael F.; Thampi, Sumesh P.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10557

Active nematic emulsions
journal, April 2018

  • Guillamat, Pau; Kos, Žiga; Hardoüin, Jérôme
  • Science Advances, Vol. 4, Issue 4
  • DOI: 10.1126/sciadv.aao1470

Onset of meso-scale turbulence in active nematics
journal, May 2017

  • Doostmohammadi, Amin; Shendruk, Tyler N.; Thijssen, Kristian
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15326

Confined Active Nematic Flow in Cylindrical Capillaries
journal, January 2013


Active turbulence in active nematics
journal, July 2016


Principles of Condensed Matter Physics
book, January 1995


Defect Unbinding in Active Nematics
journal, September 2018


Physics of liquid crystals
journal, October 1974


Spontaneous shear flow in confined cellular nematics
journal, April 2018


Modeling planar degenerate wetting and anchoring in nematic liquid crystals
journal, November 2005


Emergence of Active Nematic Behavior in Monolayers of Isotropic Cells
journal, February 2019


Spontaneous flow transition in active polar gels
journal, May 2005


D YNAMICAL P HENOMENA IN L IQUID -C RYSTALLINE M ATERIALS
journal, January 2002


Motility of active nematic films driven by “active anchoring”
journal, January 2017

  • Blow, Matthew L.; Aqil, Marco; Liebchen, Benno
  • Soft Matter, Vol. 13, Issue 36
  • DOI: 10.1039/C7SM00325K

Rapid expulsion of microswimmers by a vortical flow
journal, March 2016

  • Sokolov, Andrey; Aranson, Igor S.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11114

Insensitivity of active nematic liquid crystal dynamics to topological constraints
journal, January 2018


Engineering bacterial vortex lattice via direct laser lithography
journal, October 2018


Defect dynamics in active nematics
journal, November 2014

  • Giomi, Luca; Bowick, Mark J.; Mishra, Prashant
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2029
  • DOI: 10.1098/rsta.2013.0365

The Physics of Liquid Crystals
journal, May 1995

  • de Gennes, P. G.; Prost, J.; Pelcovits, Robert
  • Physics Today, Vol. 48, Issue 5
  • DOI: 10.1063/1.2808028