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

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.

arXiv comment5 pages, 13 figures. Contribution to the Topical Issue "Fluids and Structures: Multi-scale coupling and modeling", edited by Luca Biferale, Stefano Guido, Andrea Scagliarini, Federico Toschi. The final publication is available at Springer via http://dx.doi.org/10.1140/epje/i2017-11571-y

References in corpus (21)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Heavy particle concentration in turbulence at dissipative and inertial scales
• Flow Navigation by Smart Microswimmers via Reinforcement Learning
• Absolute negative mobility induced by thermal equilibrium fluctuations
• Particle Aggregation in a turbulent Keplerian flow
• An update on nonequilibrium linear response
• Statistical models for spatial patterns of heavy particles in turbulence
• Quantifying turbulence induced segregation of inertial particles
• Getting More from Pushing Less: Negative Specific Heat and Conductivity in Non-equilibrium Steady States
• Microscopic theory for negative differential mobility in crowded environments
• Nonlinear response and fluctuation dissipation relations
• Nonlinear response of inertial tracers in steady laminar flows: differential and absolute negative mobility
• Nonlinear Response in the Driven Lattice Lorentz Gas
• Fluctuation-Dissipation relations far from Equilibrium
• Forcing inertial Brownian motors: efficiency and negative differential mobility
• Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
• Nonlinear susceptibilities and the measurement of a cooperative length
• Role of trapping and crowding as sources of negative differential mobility
• Mobility transition in a dynamic environment
• Asymptotic analysis of chaotic particle sedimentation and trapping in the vicinity of a vertical upward streamline

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