Resonant behavior of the spatial crosscorrelation for particles embedded in viscoelastic shear flow
Abstract
Simultaneous inertial and diffusive motion of a harmonically trapped Brownian particle in a viscoelastic oscillatory shear flow is considered. A generalized Langevin equation with a powerlawtype memory kernel is used to calculate the shearinduced crosscorrelation functions between particle fluctuations along orthogonal directions in the shear plane. The mean angular momentum of the Brownian particles is found. The influence of the memory exponent in the dynamical regimes of the system is also investigated. It is established that in certain regions of the system parameters an interplay of the shear flow and memory effects can induce a multiresonance of the crosscorrelation versus the shear frequency as well as a resonance of the angular momentum vs the shear frequency. Particularly, it is shown that the results about the behavior of crosscorrelations in the system considered are significally different from some recently obtained results for models with Stokes friction.
 Publication:

Application of Mathematics in Technical and Natural Sciences: 5th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences  AMiTaNS 13
 Pub Date:
 October 2013
 DOI:
 10.1063/1.4827232
 Bibcode:
 2013AIPC.1561..224R