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Mode-coupling theory for active Brownian particles

Liluashvili, Alexander and Ónody, Jonathan and Voigtmann, Thomas (2017) Mode-coupling theory for active Brownian particles. Physical Review E, 96, 062608. American Physical Society. doi: 10.1103/PhysRevE.96.062608. ISSN 2470-0045.

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Abstract

We present a mode-coupling theory (MCT) for the slow dynamics of two-dimensional spherical active Brownian particles (ABPs). The ABPs are characterized by a self-propulsion velocity v0 and by their translational and rotational diffusion coefficients Dt and Dr, respectively. Based on the integration-through-transients formalism, the theory requires as input only the equilibrium static structure factors of the passive system (where v0 = 0). It predicts a nontrivial idealized-glass-transition diagram in the three-dimensional parameter space of density, self-propulsion velocity, and rotational diffusivity that arise because at high densities, the persistence length of active swimming lp = v0 /Dr interferes with the interaction length lc set by the caging of particles. While the low-density dynamics of ABPs is characterized by a single Péclet number Pe = v0^2/Dr Dt , close to the glass transition the dynamics is found to depend on Pe and lp separately. At fixed density, increasing the self-propulsion velocity causes structural relaxation to speed up, while decreasing the persistence length slows down the relaxation. The active-MCT glass is a nonergodic state that is qualitatively different from the passive glass. In it, correlations of initial density fluctuations never fully decay, but also an infinite memory of initial orientational fluctuations is retained in the positions.

Item URL in elib:https://elib.dlr.de/117391/
Document Type:Article
Title:Mode-coupling theory for active Brownian particles
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Liluashvili, Alexanderalexander.liluashvili (at) dlr.deUNSPECIFIED
Ónody, Jonathanjonathan.onody (at) dlr.deUNSPECIFIED
Voigtmann, Thomasthomas.voigtmann (at) dlr.deUNSPECIFIED
Date:14 December 2017
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:96
DOI :10.1103/PhysRevE.96.062608
Page Range:062608
Publisher:American Physical Society
ISSN:2470-0045
Status:Published
Keywords:mode-coupling theory, active Brownian particles, microswimmers, glasses
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 > Scientific Experiments MP
Deposited By: Voigtmann, Dr.rer.nat. Thomas
Deposited On:18 Dec 2017 06:47
Last Modified:17 Mar 2021 13:40

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