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Issue 38, 2016
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Correlation lengths in hydrodynamic models of active nematics

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Abstract

We examine the scaling with activity of the emergent length scales that control the nonequilibrium dynamics of an active nematic liquid crystal, using two popular hydrodynamic models that have been employed in previous studies. In both models we find that the chaotic spatio-temporal dynamics in the regime of fully developed active turbulence is controlled by a single active scale determined by the balance of active and elastic stresses, regardless of whether the active stress is extensile or contractile in nature. The observed scaling of the kinetic energy and enstrophy with activity is consistent with our single-length scale argument and simple dimensional analysis. Our results provide a unified understanding of apparent discrepancies in the previous literature and demonstrate that the essential physics is robust to the choice of model.

Graphical abstract: Correlation lengths in hydrodynamic models of active nematics

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Article information


Submitted
05 Apr 2016
Accepted
22 Aug 2016
First published
02 Sep 2016

Soft Matter, 2016,12, 7943-7952
Article type
Paper

Correlation lengths in hydrodynamic models of active nematics

E. J. Hemingway, P. Mishra, M. C. Marchetti and S. M. Fielding, Soft Matter, 2016, 12, 7943
DOI: 10.1039/C6SM00812G

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