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Twist-induced crossover from two-dimensional to three-dimensional turbulence in active nematics

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posted on 07.12.2018 by Tyler Shendruk, Kristian Thijssen, Julia M. Yeomans, Amin Doostmohammadi
While studies of active nematics in two dimensions have shed light on various aspects of the flow regimes and topology of active matter, three-dimensional properties of topological defects and chaotic flows remain unexplored. By confining a film of active nematics between two parallel plates, we use continuum simulations and analytical arguments to demonstrate that the crossover from quasi-two-dimensional (quasi-2D) to threedimensional (3D) chaotic flows is controlled by the morphology of the disclination lines. For small plate separations, the active nematic behaves as a quasi-2D material, with straight topological disclination lines spanning the height of the channel and exhibiting effectively 2D active turbulence. Upon increasing channel height, we find a crossover to 3D chaotic flows due to the contortion of disclinations above a critical activity. Above this critical activity highly contorted disclination lines and disclination loops are formed. We further show that these contortions are engendered by twist perturbations producing a sharp change in the curvature of disclinations.

Funding

. K.T. was funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 722497. A.D. was supported by a Royal Commission for the Exhibition of 1851 Research Fellowship

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review E

Volume

98

Issue

1

Citation

SHENDRUK, T.N., 2018. Twist-induced crossover from two-dimensional to three-dimensional turbulence in active nematics. Physical Review E, 98: 010601(R).

Publisher

© American Physical Society

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

01/06/2018

Publication date

2018-07-13

Notes

This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.98.010601

ISSN

2470-0045

eISSN

2470-0053

Language

en

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