Issue 46, 2021

Tracer dynamics in crowded active-particle suspensions

Abstract

We discuss the dynamics of active Brownian particles (ABPs) in crowded environments through the mean-squared displacement (MSD) of active and passive tracer particles in both active and passive host systems. Exact equations for the MSD are derived using a projection operator technique, extending to dense systems the known solution for a single ABP. The interaction of the tracer particle with the host particles gives rise to strong memory effects. Evaluating these approximately in the framework of a recently developed mode-coupling theory for active Brownian particles (ABP-MCT), we discuss the various dynamical regimes that emerge: While self-propelled motion gives rise to super-diffusive MSD, at high densities, this competes with an interaction-induced sub-diffusive regime. The predictions of the theory are shown to be in good agreement with results obtained from an event-driven Brownian dynamics (ED-BD) simulation scheme for the dynamics of two-dimensional active Brownian hard disks.

Graphical abstract: Tracer dynamics in crowded active-particle suspensions

Article information

Article type
Paper
Submitted
27 Jul 2021
Accepted
05 Oct 2021
First published
09 Nov 2021
This article is Open Access
Creative Commons BY license

Soft Matter, 2021,17, 10492-10504

Tracer dynamics in crowded active-particle suspensions

J. Reichert and T. Voigtmann, Soft Matter, 2021, 17, 10492 DOI: 10.1039/D1SM01092A

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