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Vorticity, defects and correlations in active turbulence

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Golestanian,  Ramin
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Thampi, S. P., Golestanian, R., & Yeomans, J. M. (2014). Vorticity, defects and correlations in active turbulence. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 372(2029): 20130366. doi:10.1098/rsta.2013.0366.


Cite as: http://hdl.handle.net/21.11116/0000-0001-763C-8
Abstract
We describe a numerical investigation of a continuum model of an active nematic, concentrating on the regime of active turbulence. Results are presented for the effect of three parameters, activity, elastic constant and rotational diffusion constant, on the order parameter and flow fields. Defects and distortions in the director field act as sources of vorticity, and thus vorticity is strongly correlated to the director field. In particular, the characteristic length of decay of vorticity and order parameter correlations is controlled by the defect density. By contrast, the decay of velocity correlations is determined by a balance between activity and dissipation. We highlight the role of microscopic flow generation mechanisms in determining the flow patterns and characteristic scales of active turbulence and contrast the behaviour of extensile and contractile active nematics. © 2014 The Author(s) Published by the Royal Society. All rights reserved.