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Spatio-temporal dynamics of an active, polar, viscoelastic ring

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Abstract

Constitutive equations for a one-dimensional, active, polar, viscoelastic liquid are derived by treating the strain field as a slow hydrodynamic variable. Taking into account the couplings between strain and polarity allowed by symmetry, the hydrodynamics of an active, polar, viscoelastic body include an evolution equation for the polarity field that generalizes the damped Kuramoto-Sivashinsky equation. Beyond thresholds of the active coupling coefficients between the polarity and the stress or the strain rate, bifurcations of the homogeneous state lead first to stationary waves, then to propagating waves of the strain, stress and polarity fields. I argue that these results are relevant to living matter, and may explain rotating actomyosin rings in cells and mechanical waves in epithelial cell monolayers.

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Authors and Affiliations

  1. Physico-Chimie Curie, Institut Curie, Université Pierre et Marie Curie, 26 rue d’Ulm, F-75248, Paris Cedex 05, France

    Philippe Marcq

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  1. Philippe Marcq
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Correspondence to Philippe Marcq.

Additional information

Contribution to the Topical Issue “Irreversible Dynamics: A topical issue dedicated to Paul Manneville” edited by Patrice Le Gal and Laurette S. Tuckerman.

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Marcq, P. Spatio-temporal dynamics of an active, polar, viscoelastic ring. Eur. Phys. J. E 37, 29 (2014). https://doi.org/10.1140/epje/i2014-14029-x

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  • DOI: https://doi.org/10.1140/epje/i2014-14029-x

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