Correlation lengths in hydrodynamic models of active nematics

Ewan J. Hemingway, Prashant Mishra, M Cristina Marchetti, Suzanne M. Fielding

Research output: Contribution to journalArticle

23 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)7943-7952
Number of pages10
JournalSoft Matter
Volume12
Issue number38
DOIs
StatePublished - 2016

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Hydrodynamics
hydrodynamics
scaling
Nematic liquid crystals
dimensional analysis
Kinetic energy
vorticity
Turbulence
Physics
kinetic energy
turbulence
liquid crystals
physics

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

Hemingway, E. J., Mishra, P., Marchetti, M. C., & Fielding, S. M. (2016). Correlation lengths in hydrodynamic models of active nematics. Soft Matter, 12(38), 7943-7952. https://doi.org/10.1039/c6sm00812g

Correlation lengths in hydrodynamic models of active nematics. / Hemingway, Ewan J.; Mishra, Prashant; Marchetti, M Cristina; Fielding, Suzanne M.

In: Soft Matter, Vol. 12, No. 38, 2016, p. 7943-7952.

Research output: Contribution to journalArticle

Hemingway, EJ, Mishra, P, Marchetti, MC & Fielding, SM 2016, 'Correlation lengths in hydrodynamic models of active nematics', Soft Matter, vol. 12, no. 38, pp. 7943-7952. https://doi.org/10.1039/c6sm00812g
Hemingway EJ, Mishra P, Marchetti MC, Fielding SM. Correlation lengths in hydrodynamic models of active nematics. Soft Matter. 2016;12(38):7943-7952. https://doi.org/10.1039/c6sm00812g
Hemingway, Ewan J. ; Mishra, Prashant ; Marchetti, M Cristina ; Fielding, Suzanne M. / Correlation lengths in hydrodynamic models of active nematics. In: Soft Matter. 2016 ; Vol. 12, No. 38. pp. 7943-7952.
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