Vortex Lattices in Active Nematics with Periodic Obstacle Arrays

Schimming, Cody Dylan; Reichhardt, Cynthia Jane; Reichhardt, Charles

doi:10.1103/physrevlett.132.018301

Title: Vortex Lattices in Active Nematics with Periodic Obstacle Arrays

Journal Article · 04 January 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.132.018301 · OSTI ID:2310338

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Here, we numerically model a two-dimensional active nematic confined by a periodic array of fixed obstacles. Even in the passive nematic, the appearance of topological defects is unavoidable due to planar anchoring by the obstacle surfaces. We show that a vortex lattice state emerges as activity is increased, and that this lattice may be tuned from “ferromagnetic” to “antiferromagnetic” by varying the gap size between obstacles. We map the rich variety of states exhibited by the system as a function of distance between obstacles and activity, including a pinned defect state, motile defects, the vortex lattice, and active turbulence. We demonstrate that the flows in the active turbulent phase can be tuned by the presence of obstacles, and explore the effects of a frustrated lattice geometry on the vortex lattice phase.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2310338

Report Number(s):: LA-UR--23-30429

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 132; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

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
Topological defects in epithelia govern cell death and extrusion Saw, Thuan Beng; Doostmohammadi, Amin; Nier, Vincent Nature, Vol. 544, Issue 7649 https://doi.org/10.1038/nature21718	journal	April 2017
Stabilization of active matter by flow-vortex lattices and defect ordering Doostmohammadi, Amin; Adamer, Michael F.; Thampi, Sumesh P. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10557	journal	February 2016
Engineering of frustration in colloidal artificial ices realized on microfeatured grooved lattices Ortiz-Ambriz, Antonio; Tierno, Pietro Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10575	journal	February 2016
Topological frustration of artificial spin ice Drisko, Jasper; Marsh, Thomas; Cumings, John Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14009	journal	January 2017
Observation of kinks and antikinks in colloidal monolayers driven across ordered surfaces Bohlein, Thomas; Mikhael, Jules; Bechinger, Clemens Nature Materials, Vol. 11, Issue 2 https://doi.org/10.1038/nmat3204	journal	December 2011
Orientational order of motile defects in active nematics DeCamp, Stephen J.; Redner, Gabriel S.; Baskaran, Aparna Nature Materials, Vol. 14, Issue 11 https://doi.org/10.1038/nmat4387	journal	August 2015
Ultracold quantum gases in optical lattices Bloch, Immanuel Nature Physics, Vol. 1, Issue 1 https://doi.org/10.1038/nphys138	journal	October 2005
Ferromagnetic and antiferromagnetic order in bacterial vortex lattices Wioland, Hugo; Woodhouse, Francis G.; Dunkel, Jörn Nature Physics, Vol. 12, Issue 4 https://doi.org/10.1038/nphys3607	journal	January 2016
Active nematics Doostmohammadi, Amin; Ignés-Mullol, Jordi; Yeomans, Julia M. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05666-8	journal	August 2018
Topological defects promote layer formation in Myxococcus xanthus colonies Copenhagen, Katherine; Alert, Ricard; Wingreen, Ned S. Nature Physics, Vol. 17, Issue 2 https://doi.org/10.1038/s41567-020-01056-4	journal	November 2020
Organizing bacterial vortex lattices by periodic obstacle arrays Reinken, Henning; Nishiguchi, Daiki; Heidenreich, Sebastian Communications Physics, Vol. 3, Issue 1 https://doi.org/10.1038/s42005-020-0337-z	journal	May 2020
Non-symmetric pinning of topological defects in living liquid crystals Figueroa-Morales, Nuris; Genkin, Mikhail M.; Sokolov, Andrey Communications Physics, Vol. 5, Issue 1 https://doi.org/10.1038/s42005-022-01077-w	journal	November 2022
Dancing disclinations in confined active nematics Shendruk, Tyler N.; Doostmohammadi, Amin; Thijssen, Kristian Soft Matter, Vol. 13, Issue 21 https://doi.org/10.1039/C6SM02310J	journal	January 2017
Active nematics with anisotropic friction: the decisive role of the flow aligning parameter Thijssen, Kristian; Metselaar, Luuk; Yeomans, Julia M. Soft Matter, Vol. 16, Issue 8 https://doi.org/10.1039/C9SM01963D	journal	January 2020
Active microfluidic transport in two-dimensional handlebodies Hardoüin, Jérôme; Laurent, Justine; Lopez-Leon, Teresa Soft Matter, Vol. 16, Issue 40 https://doi.org/10.1039/D0SM00610F	journal	January 2020
Singularity identification for the characterization of topology, geometry, and motion of nematic disclination lines Schimming, Cody D.; Viñals, Jorge Soft Matter, Vol. 18, Issue 11 https://doi.org/10.1039/D1SM01584B	journal	January 2022
Vorticity phase separation and defect lattices in the isotropic phase of active liquid crystals Caballero, Fernando; You, Zhihong; Marchetti, M. Cristina Soft Matter, Vol. 19, Issue 40 https://doi.org/10.1039/D3SM00744H	journal	January 2023
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
Control of active liquid crystals with a magnetic field Guillamat, Pau; Ignés-Mullol, Jordi; Sagués, Francesc Proceedings of the National Academy of Sciences, Vol. 113, Issue 20 https://doi.org/10.1073/pnas.1600339113	journal	May 2016
Self-organized dynamics and the transition to turbulence of confined active nematics Opathalage, Achini; Norton, Michael M.; Juniper, Michael P. N. Proceedings of the National Academy of Sciences, Vol. 116, Issue 11 https://doi.org/10.1073/pnas.1816733116	journal	February 2019
Submersed micropatterned structures control active nematic flow, topology, and concentration Thijssen, Kristian; Khaladj, Dimitrius A.; Aghvami, S. Ali Proceedings of the National Academy of Sciences, Vol. 118, Issue 38 https://doi.org/10.1073/pnas.2106038118	journal	September 2021
Commensurate phases, incommensurate phases and the devil's staircase Bak, P. Reports on Progress in Physics, Vol. 45, Issue 6 https://doi.org/10.1088/0034-4885/45/6/001	journal	June 1982
Some Constitutive Equations for Anisotropic Fluids Leslie, F. M. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 19, Issue 3 https://doi.org/10.1093/qjmam/19.3.357	journal	January 1966
Defect dynamics in active nematics Giomi, Luca; Bowick, Mark J.; Mishra, Prashant Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2029 https://doi.org/10.1098/rsta.2013.0365	journal	November 2014
Dislocations and the commensurate-incommensurate transition in two dimensions Coppersmith, S. N.; Fisher, Daniel S.; Halperin, B. I. Physical Review B, Vol. 25, Issue 1 https://doi.org/10.1103/PhysRevB.25.349	journal	January 1982
Friction-mediated phase transition in confined active nematics Schimming, Cody D.; Reichhardt, C. J. O.; Reichhardt, C. Physical Review E, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevE.108.L012602	journal	July 2023
Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations Marenduzzo, D.; Orlandini, E.; Cates, M. E. Physical Review E, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevE.76.031921	journal	September 2007
Probing the shear viscosity of an active nematic film Guillamat, Pau; Ignés-Mullol, Jordi; Shankar, Suraj Physical Review E, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevE.94.060602	journal	December 2016
Insensitivity of active nematic liquid crystal dynamics to topological constraints Norton, Michael M.; Baskaran, Arvind; Opathalage, Achini Physical Review E, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevE.97.012702	journal	January 2018
Confinement Stabilizes a Bacterial Suspension into a Spiral Vortex Wioland, Hugo; Woodhouse, Francis G.; Dunkel, Jörn Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.268102	journal	June 2013
Biphasic, Lyotropic, Active Nematics Blow, Matthew L.; Thampi, Sumesh P.; Yeomans, Julia M. Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/PhysRevLett.113.248303	journal	December 2014
Flow States and Transitions of an Active Nematic in a Three-Dimensional Channel Chandragiri, Santhan; Doostmohammadi, Amin; Yeomans, Julia M. Physical Review Letters, Vol. 125, Issue 14 https://doi.org/10.1103/PhysRevLett.125.148002	journal	September 2020
Confinement-Induced Self-Pumping in 3D Active Fluids Varghese, Minu; Baskaran, Arvind; Hagan, Michael F. Physical Review Letters, Vol. 125, Issue 26 https://doi.org/10.1103/PhysRevLett.125.268003	journal	December 2020
Observation of Vortex Pinning in Bose-Einstein Condensates Tung, S.; Schweikhard, V.; Cornell, E. A. Physical Review Letters, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevLett.97.240402	journal	December 2006
Topological Defects in a Living Nematic Ensnare Swimming Bacteria Genkin, Mikhail M.; Sokolov, Andrey; Lavrentovich, Oleg D. Physical Review X, Vol. 7, Issue 1 https://doi.org/10.1103/PhysRevX.7.011029	journal	March 2017
Hydrodynamics of Active Defects: From Order to Chaos to Defect Ordering Shankar, Suraj; Marchetti, M. Cristina Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/PhysRevX.9.041047	journal	December 2019
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
Colloquium : Artificial spin ice: Designing and imaging magnetic frustration Nisoli, Cristiano; Moessner, Roderich; Schiffer, Peter Reviews of Modern Physics, Vol. 85, Issue 4 https://doi.org/10.1103/RevModPhys.85.1473	journal	October 2013
Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects Harada, K.; Kamimura, O.; Kasai, H. Science, Vol. 274, Issue 5290 https://doi.org/10.1126/science.274.5290.1167	journal	November 1996
Transition from turbulent to coherent flows in confined three-dimensional active fluids Wu, Kun-Ta; Hishamunda, Jean Bernard; Chen, Daniel T. N. Science, Vol. 355, Issue 6331 https://doi.org/10.1126/science.aal1979	journal	March 2017
FELICITY: A Matlab/C++ Toolbox for Developing Finite Element Methods and Simulation Modeling Walker, Shawn W. SIAM Journal on Scientific Computing, Vol. 40, Issue 2 https://doi.org/10.1137/17M1128745	journal	January 2018

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