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.

arXiv comment17 pages, 6 figures

References in corpus (24)

• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Emergence of macroscopic directed motion in populations of motile colloids
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Viscosity of Quantum Hall Fluids
• Odd viscosity in chiral active fluids
• Emergent vortices in populations of colloidal rollers
• Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Topological waves in fluids with odd viscosity
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Spatiotemporal order and emergent edge currents in active spinner materials
• Odd viscosity in two-dimensional incompressible fluids
• Transport signatures of Hall viscosity
• Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity
• Hall viscosity, topological states and effective theories
• Contractile and chiral activities co-determine the helicity of swimming droplet trajectories
• Odd surface waves in two-dimensional incompressible fluids
• Thermodynamics of active field theories: Energetic cost of coupling to reservoirs
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Poisson-Bracket Approach to the Dynamics of Nematic Liquid Crystals. The Role of Spin Angular Momentum
• Dynamics of nematic elastomers
• Shear-induced first-order transition in polar liquid crystals
• Motor-free Contractility in Active Gels

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• 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
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• Nonequilibrium Transport Induced by Biological Nanomachines
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• Trading particle shape with fluid symmetry: on the mobility matrix in 3D chiral fluids
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• 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
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• 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