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Stress fluctuations in transient active networks

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Inspired by experiments on dynamic extensile gels of biofilaments and motors, we propose a model of a network of linear springs with kinetics consisting of growth at a prescribed rate, death after a lifetime drawn from a distribution, and birth at a randomly chosen node. The model captures features such as the build-up of self-stress, that are not easily incorporated into hydrodynamic theories. We study the model numerically and show that our observations can largely be understood through a stochastic effective-medium model. The resulting dynamically extending force-dipole network displays many features of yielded plastic solids, and offers a way to incorporate strongly non-affine effects into theories of active solids. A rather distinctive form for the stress distribution, and a Herschel–Bulkley dependence of stress on activity, are our major predictions.

Graphical abstract: Stress fluctuations in transient active networks

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The article was received on 29 Jan 2019, accepted on 01 Apr 2019 and first published on 02 Apr 2019

Article type: Paper
DOI: 10.1039/C9SM00205G
Citation: Soft Matter, 2019, Advance Article

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    Stress fluctuations in transient active networks

    D. Goldstein, S. Ramaswamy and B. Chakraborty, Soft Matter, 2019, Advance Article , DOI: 10.1039/C9SM00205G

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