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Phys Rev E. 2017 Sep;96(3):032606. doi: 10.1103/PhysRevE.96.032606. Epub 2017 Sep 15.

Generalized Archimedes' principle in active fluids.

Physical review. E

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

Affiliations

  1. Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
  2. Laboratoire Jean Perrin and Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Université Pierre et Marie Curie, 75005 Paris, France.
  3. Theoretical Soft Matter and Biophysics, Institute of Complex Systems and Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany.

PMID: 29346950 DOI: 10.1103/PhysRevE.96.032606

Abstract

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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