Nov 16 – 19, 2021
Polytech Lille
Europe/Paris timezone

Homogenization for active particles

Nov 18, 2021, 2:45 PM
Amphithéatre Lebon (Polytech Lille)

Amphithéatre Lebon

Polytech Lille

Contributed talk


Armand Bernou (LJLL, Sorbonne Université)


Active fluids are suspensions of particles in viscous fluids, where particles are able to convert chemical energy into mechanical work. Compared to passive systems, active suspensions exhibit a particularly rich phenomenology. In particular, the response to an external forcing can defy intuition, with rheological measurements displaying in some settings a transition to superfluid-like behavior.
Inspired by the recent results obtained by Duerinckx and Gloria on colloidal suspensions and suspensions of sedimenting particles in a Stokes fluid, we show rigorously, by means of stochastic homogenization theory, how the presence of a random suspension of active particles (swimmers) inside a Stokes fluid can influence the viscosity. After a brief overview of the insights given by the literature of physics, I will present some results obtained in a slightly simplified setting, in which the swimming force depends linearly on the local fluid deformation.
This is joint work with Mitia Duerinckx and Antoine Gloria.

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