Dynamics of two trapped Brownian particles: Shear-induced cross-correlations |
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Authors: | Bammert J Holzer L Zimmermann W |
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Institution: | (1) Department of Chemistry, Indian Institute of Technology Madras, Chennai, 600036, India |
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Abstract: | The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated.
The positional correlation functions in this system are calculated analytically and analyzed as a function of the shear rate
and the trap distance. Shear-induced cross-correlations between particle fluctuations along orthogonal directions in the shear
plane are found. They are linear in the shear rate, asymmetric in time, and occur for one particle as well as between both
particles. Moreover, the shear rate enters as a quadratic correction to the well-known correlations of random displacements
along parallel spatial directions. The correlation functions depend on the orientation of the connection vector between the
potential minima with respect to the flow direction. As a consequence, the inter-particle cross-correlations between orthogonal
fluctuations can have zero, one or two local extrema as a function of time. Possible experiments for detecting these predicted
correlations are described. |
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Keywords: | |
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