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Mode-coupling theory for tagged-particle motion of active Brownian particles

Reichert, Julian and Mandal, Suvendu and Voigtmann, Thomas (2021) Mode-coupling theory for tagged-particle motion of active Brownian particles. Physical Review E, 104, 044608. American Physical Society. doi: 10.1103/PhysRevE.104.044608. ISSN 2470-0045.

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We derive a mode-coupling theory (MCT) to describe the dynamics of a tracer particle that is embedded in a dense system of active Brownian particles (ABPs) in two spatial dimensions. The ABP undergo translational and rotational Brownian motion and are equipped with a fixed self-propulsion speed along their orientational vector that describes their active motility. The resulting equations of motion for the tagged-particle density- correlation functions describe the various cases of tracer dynamics close to the glass transition: that of a single active particle in a glass-forming passive host suspensions, that of a passive colloidal particle in a suspension of ABP, and that of active tracers in a bath of active particles. Numerical results are presented for these cases assuming hard-sphere interactions among the particles. The qualitative and quantitative ac- curacy of the theory is tested against event-driven Brownian dynamics (ED-BD) simulations of active and passive hard disks. Simulation and theory are found in quantitative agreement, provided one adjusts the overall density (as known from the passive description of glassy dynamics), and allows for a rescaling of self-propulsion velocities in the active host system. These adjustments account for the fact that ABP-MCT generally overestimates the tendency for kinetic arrest. We confirm in the simulations a peculiar feature of the transient and stationary dynamical density-correlation functions regarding their lack of symmetry under time reversal, demonstrating the nonequilibrium nature of the system and how it manifests itself in the theory.

Item URL in elib:https://elib.dlr.de/144767/
Document Type:Article
Title:Mode-coupling theory for tagged-particle motion of active Brownian particles
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Mandal, SuvenduUniversität Düsseldorfhttps://orcid.org/0000-0002-2798-2839UNSPECIFIED
Date:19 October 2021
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:044608
Publisher:American Physical Society
Keywords:glass transition; active particles; microswimmers; mode coupling theory
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Material Design and New Materials
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Voigtmann, Dr.rer.nat. Thomas
Deposited On:21 Oct 2021 16:39
Last Modified:20 Oct 2023 08:07

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