Symmetry properties of nonlinear hydrodynamic interactions between responsive particles

Yulia Sokolov and Haim Diamant
Phys. Rev. E 103, 042612 – Published 29 April 2021

Abstract

Two identical particles driven by the same steady force through a viscous fluid may move relative to one another due to hydrodynamic interactions. The presence or absence of this relative translation has a profound effect on the dynamics of a driven suspension consisting of many particles. We consider a pair of particles which, to linear order in the force, do not interact hydrodynamically. If the system possesses an intrinsic property (such as the shape of the particles, their position with respect to a boundary, or the shape of the boundary) which is affected by the external forcing, hydrodynamic interactions that depend nonlinearly on the force may emerge. We study the general properties of such nonlinear response. Analysis of the symmetries under particle exchange and under force reversal leads to general conclusions concerning the appearance of relative translation and the motion's time reversibility. We demonstrate the applicability of the conclusions in three specific examples: (a) two spheres driven parallel to a wall; (b) two deformable objects driven parallel to their connecting line; and (c) two spheres driven along a curved path. The breaking of time reversibility suggests a possible use of nonlinear hydrodynamic interactions to disperse or assemble particles by an alternating force.

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  • Received 7 October 2020
  • Revised 11 April 2021
  • Accepted 12 April 2021

DOI:https://doi.org/10.1103/PhysRevE.103.042612

©2021 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterFluid Dynamics

Authors & Affiliations

Yulia Sokolov and Haim Diamant*

  • Raymond and Beverly Sackler School of Chemistry, and Center for Physics and Chemistry of Living Systems, Tel Aviv University, Tel Aviv 6997801, Israel

  • *Corresponding author: hdiamant@tau.ac.il

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Issue

Vol. 103, Iss. 4 — April 2021

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