Active Stokesian Dynamics

TL;DR

This paper extends the Stokesian Dynamics framework to simulate dense suspensions of active particles, providing a rigorous method to account for complex many-body hydrodynamic interactions.

Contribution

It introduces a novel application of Stokesian Dynamics to active particles, utilizing the reciprocal theorem for exact dynamics formulation.

Findings

Framework applicable to dense active suspensions

Accurate approximation of many-body hydrodynamic interactions

Potential for analyzing complex active matter systems

Abstract

Since its development, Stokesian Dynamics has been a leading approach for the dynamic simulation of suspensions of particles at arbitrary concentrations with full hydrodynamic interactions. Although originally developed for the simulation of passive particle suspensions, the Stokesian Dynamics framework is equally well suited to the analysis and dynamic simulation of suspensions of active particles, as we elucidate here. We show how the reciprocal theorem can be used to formulate the exact dynamics for a suspension of arbitrary active particles and then show how the Stokesian Dynamics method provides a rigorous way to approximate and compute the dynamics of dense active suspensions where many-body hydrodynamic interactions are important.