Odd viscosity in active matter: microscopic origin and 3D effects

Abstract

In common fluids, viscosity is associated with dissipation. However, when time-reversal-symmetry is broken a new type of non-dissipative `viscosity' may emerge. Recent theories and experiments on classical 2D systems with active spinning particles have heightened interest in odd viscosity, but a microscopic theory for it in active materials is still absent. Here we present such first-principles microscopic Hamiltonian theory, valid for both 2D and 3D, showing that odd viscosity is present in any system, equilibrium or not, with aligned spinning components. Our work substantially extends the applicability of odd viscosity into 3D fluids, and specifically to internally driven active materials, such as living matter (e.g., actomyosin gels). We find intriguing 3D effects of odd viscosity such as propagation of anisotropic bulk shear waves and breakdown of Bernoulli's principle.

17 pages, 6 figures

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Cited by in corpus (50)

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• Statistical mechanics of a chiral active fluid
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• Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
• Pattern formation by turbulent cascades
• From a microscopic inertial active matter model to the Schrödinger equation
• Odd mobility of a passive tracer in a chiral active fluid
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• Passive odd viscoelasticity
• Active Rheology in Odd Viscosity Systems
• Lift force in odd compressible fluids
• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Stochastic Hydrodynamics of Complex Fluids: Discretisation and Entropy Production
• Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity
• Odd Cosserat elasticity in active materials
• Time-correlation functions for odd Langevin systems
• Nonequilibrium Transport Induced by Biological Nanomachines
• Hydrodynamics of an odd active surfer in a chiral fluid
• Dissipative effects in odd viscous Stokes flow around a single sphere
• Onsager's variational principle for nonreciprocal systems with odd elasticity
• Thermocapillary migrating odd viscous droplets
• Pair dynamics of active force dipoles in an odd-viscous fluid
• Cubic Hall viscosity in three-dimensional topological semimetals
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Trading particle shape with fluid symmetry: on the mobility matrix in 3D chiral fluids
• Chirotactic response of microswimmers in fluids with odd viscosity
• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Hele-Shaw flow for parity odd three-dimensional fluids
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• Momentum, spin, and orbital angular momentum of electromagnetic, acoustic, and water waves
• Slip-induced odd viscous flow past a cylinder
• Odd viscosity suppresses intermittency in direct turbulent cascades
• Taylor columns and inertial-like waves in a three-dimensional odd viscous liquid
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Nonlinear shallow-water waves with vertical odd viscosity
• Mesoscale simulation model for odd fluids
• Viscous tweezers: controlling particle orientation with viscosity
• Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation
• Evanescent and inertial-like waves in rigidly-rotating odd viscous liquids
• Condensate Formation in a Chiral Lattice Gas
• Dumbbell dimer dynamics in three-dimensional chiral fluids
• Quantum kinetic theory of flux-carrying Brownian particles
• Odd elasticity in disordered chiral active materials
• Nonclassical heat flow in passive chiral solids is third rank, not odd
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
• Linear odd electrophoresis of a sphere in a charged chiral active fluid
• Hamiltonian structure of 2D fluid dynamics with broken parity
• Hydrodynamic correlation functions of chiral active fluids
• Stokes flow in an electronic fluid with odd viscosity