article · 15/09/2017

Generalized Archimedes' principle in active fluids

Nitzan Razin, Raphael Voituriez, Jens Elgeti, Nir S. Gov

Résumé

We show how a gradient in the motility properties of noninteracting pointlike active particles can cause a pressure gradient that pushes a large inert object. We calculate the force on an object inside a system of active particles with position-dependent motion parameters, in one and two dimensions, and show that a modified Archimedes' principle is satisfied. We characterize the system, both in terms of the model parameters and in terms of experimentally measurable quantities: the spatial profiles of the density, velocity and pressure. This theoretical analysis is motivated by recent experiments, which showed that the nucleus of a mouse oocyte (immature egg cell) moves from the cortex to the center due to a gradient of activity of vesicles propelled by molecular motors; it more generally applies to artificial systems of controlled localized activity.

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Razin, N., Voituriez, R., Elgeti, J., & Gov, N.-S. (2017). Generalized Archimedes' principle in active fluids. PHYSICAL REVIEW E, 96(3). https://doi.org/10.1103/PhysRevE.96.032606

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