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Anomalous force-velocity relation of driven inertial tracers in steady laminar flows

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Abstract.

We study the nonlinear response to an external force of an inertial tracer advected by a two-dimensional incompressible laminar flow and subject to thermal noise. In addition to the driving external field F, the main parameters in the system are the noise amplitude \(D_{0}\) and the characteristic Stokes time \(\tau\) of the tracer. The relation velocity vs. force shows interesting effects, such as negative differential mobility (NDM), namely a non-monotonic behavior of the tracer velocity as a function of the applied force, and absolute negative mobility (ANM), i.e. a net motion against the bias. By extensive numerical simulations, we investigate the phase chart in the parameter space of the model, \((\tau , D_{0})\), identifying the regions where NDM, ANM and more common monotonic behaviors of the force-velocity curve are observed.

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Authors and Affiliations

  1. CNR-ISC and Dipartimento di Fisica, Sapienza Università di Roma, p.le A. Moro 2, 00185, Roma, Italy

    F. Cecconi, A. Puglisi & A. Sarracino

  2. Dipartimento di Fisica, Sapienza Università di Roma, and CNR-ISC, p.le A. Moro 2, 0018, Roma, Italy

    A. Vulpiani

  3. Accademia dei Lincei, Centro Interdisciplinare B. Segre, Roma, Italy

    A. Vulpiani

Authors
  1. F. Cecconi
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  2. A. Puglisi
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  3. A. Sarracino
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  4. A. Vulpiani
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Corresponding author

Correspondence to A. Sarracino.

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Cecconi, F., Puglisi, A., Sarracino, A. et al. Anomalous force-velocity relation of driven inertial tracers in steady laminar flows. Eur. Phys. J. E 40, 81 (2017). https://doi.org/10.1140/epje/i2017-11571-y

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  • DOI: https://doi.org/10.1140/epje/i2017-11571-y

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