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Time correlations and persistence probability of a Brownian particle in a shear flow
Ist Teil von
The European physical journal. B, Condensed matter physics, 2012-08, Vol.85 (8), Article 281
Ort / Verlag
Berlin/Heidelberg: Springer-Verlag
Erscheinungsjahr
2012
Link zum Volltext
Quelle
SpringerLink (Online service)
Beschreibungen/Notizen
In this article, results have been presented for the two-time correlation functions for a free and a harmonically confined Brownian particle in a simple shear flow. For a free Brownian particle, the motion along the direction of shear exhibit two distinct dynamics, with the mean-square-displacement being diffusive at short times while at late times scales as
t
3
. In contrast the cross-correlation 〈
x(t)y(t)
〉 scales quadratically for all times. In the case of a harmonically trapped Brownian particle, the mean-square-displacement exhibits a plateau determined by the strength of the confinement and the shear. Further, the analysis is extended to a chain of Brownian particles interacting via a harmonic and a bending potential. Finally, the persistence probability is constructed from the two-time correlation functions.