Odd mobility of a passive tracer in a chiral active fluid

Abstract

Chiral active fluids break both time-reversal and parity symmetry, leading to exotic transport phenomena unobservable in ordinary passive fluids. We develop a generalized Green-Kubo relation for the anomalous lift experienced by a passive tracer suspended in a two-dimensional chiral active fluid subjected to an applied force. This anomalous lift is characterized by a transport coefficient termed the odd mobility. We validate our generalized response theory using molecular dynamics simulations, and we show that the asymmetric tracer mobility may be understood mechanically in terms of asymmetric deformations of the tracer-fluid density distribution function. We show that the even and odd components of the mobility decay at different rates with tracer size, suggesting the possibility of size-based particle separation using a chiral active working fluid.

Letter, 6 pages, 3 figures and Supplemental Material, 4 pages, 2 figures

References in corpus (3)

• Fluctuations and response of nonequilibrium states
• Active Microrheology, Hall Effect, and Jamming in Chiral Fluids
• Transport Coefficients from Large Deviation Functions

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• Sampling efficiency of transverse forces in dense liquids
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• Molecular modelling of odd viscoelastic fluids
• Transverse forces and glassy liquids in infinite dimensions
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Stability of interlocked self-propelled dumbbell clusters
• Mesoscale simulation model for odd fluids
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Nonclassical heat flow in passive chiral solids is third rank, not odd
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density