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Glassy Dynamics of Brownian Particles with Velocity-Dependent Friction

Yazdi, Anoosheh and Sperl, Matthias (2016) Glassy Dynamics of Brownian Particles with Velocity-Dependent Friction. Physical Review E, 94, 032602. American Physical Society. DOI: 10.1103/PhysRevE.94.032602 ISSN 1539-3755

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Official URL: https://doi.org/10.1103/PhysRevE.94.032602

Abstract

We consider a two-dimensional model system of Brownian particles in which slow particles are accelerated while fast particles are damped. The motion of the individual particles is described by a Langevin equation with Rayleigh-Helmholtz velocity-dependent friction. In the case of noninteracting particles, the time evolution equations lead to a non-Gaussian velocity distribution. The velocity-dependent friction allows negative values of the friction or energy intakes by slow particles, which we consider active motion, and also causes breaking of the fluctuation dissipation relation. Defining the effective temperature proportional to the second moment of velocity, it is shown that for a constant effective temperature the higher the noise strength, the lower the number of active particles in the system. Using the Mori-Zwanzig formalism and the mode-coupling approximation, the equations of motion for the density autocorrelation function are derived. The equations are solved using the equilibrium structure factors. The integration-through-transients approach is used to derive a relation between the structure factor in the stationary state considering the interacting forces, and the conventional equilibrium static structure factor.

Item URL in elib:https://elib.dlr.de/110342/
Document Type:Article
Title:Glassy Dynamics of Brownian Particles with Velocity-Dependent Friction
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Yazdi, Anooshehanoosheh.yazdi (at) dlr.deUNSPECIFIED
Sperl, MatthiasMatthias.Sperl (at) dlr.deUNSPECIFIED
Date:8 September 2016
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:No
Volume:94
DOI :10.1103/PhysRevE.94.032602
Page Range:032602
Publisher:American Physical Society
ISSN:1539-3755
Status:Published
Keywords:active particles, mode-coupling theory, nonlinear Langevin equation
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 - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Modellsysteme
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Sperl, Matthias
Deposited On:09 Jan 2017 15:16
Last Modified:10 Jan 2019 15:49

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