Universität zu Köln

Yazdi, Anoosheh and Sperl, Matthias (2016). Glassy dynamics of Brownian particles with velocity-dependent friction. Phys. Rev. E, 94 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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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 Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Yazdi, Anoosheh UNSPECIFIED UNSPECIFIED UNSPECIFIED Sperl, Matthias UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-262467
DOI:	10.1103/PhysRevE.94.032602
Journal or Publication Title:	Phys. Rev. E
Volume:	94
Number:	3
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language HYDRODYNAMICS; SYSTEMS; MOTION Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26246