Anomalous mobility of a driven active particle in a steady laminar flow

Abstract

We study, via extensive numerical simulations, the force-velocity curve of an active particle advected by a steady laminar flow, in the nonlinear response regime. Our model for an active particle relies on a colored noise term that mimics its persistent motion over a time scale ${\tau }_A$. We find that the active particle dynamics shows non-trivial effects, such as negative differential and absolute mobility (NDM and ANM, respectively). We explore the space of the model parameters and compare the observed behaviors with those obtained for a passive particle (${\tau }_A=0$) advected by the same laminar flow. Our results show that the phenomena of NDM and ANM are quite robust with respect to the details of the considered noise: in particular for finite ${\tau }_A$ a more complex force-velocity relation can be observed.

arXiv comment12 pages, 9 figures, paper submitted for the Special Issue of Journal of Physics: Condensed Matter, "Transport in Narrow Channels", Guest Editors P. Malgaretti, G. Oshanin, J. Talbot

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• Tracer diffusion in crowded narrow channels. Topical review
• Dynamics of active particles with translational and rotational inertia
• Giant negative mobility of inertial particles caused by the periodic potential in steady laminar flows
• Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space
• Paradoxical nature of negative mobility in the weak dissipation regime