Odd Viscosity and Odd Elasticity

Abstract

Elasticity typically refers to a material's ability to store energy, while viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity. We first introduce odd elasticity and odd viscosity from a continuum perspective, with an emphasis on their rich phenomenology, including transverse responses, modified dislocation dynamics, and topological waves. We then provide an overview of systems that display odd viscosity and odd elasticity. These systems range from quantum fluids, to astrophysical gasses, to active and driven matter. Finally, we comment on microscopic mechanisms by which odd elasticity and odd viscosity arise.

30 pages, 7 figures

References in corpus (15)

• Hydrodynamics of electrons in graphene
• Nonreciprocity as a generic route to traveling states
• Phonons in a one-dimensional microfluidic crystal
• Light Activated Self-Propelled Colloids
• Transport signatures of Hall viscosity
• Anomalous Microfluidic Phonons Induced by the Interplay of Hydrodynamic Screening and Incompressibility
• Robust boundary flow in chiral active fluid
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
• Active and driven hydrodynamic crystals
• The action principle for generalized fluid motion including gyroviscosity
• Odd Microswimmer
• Hydrodynamic effective field theories with discrete rotational symmetry
• Dislocation-Mediated Melting in Superfluid Vortex Lattices

Cited by in corpus (87)

• A review of active matter reviews
• Pattern formation by turbulent cascades
• Nonreciprocal Ising model
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• Chiral active matter in external potentials
• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Lift force in odd compressible fluids
• Odd Cosserat elasticity in active materials
• Non-reciprocal alignment induces asymmetric clustering in active mixtures
• Hydrodynamics of an odd active surfer in a chiral fluid
• Non-Bloch band theory for non-Hermitian continuum systems
• Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
• Programming tunable active dynamics in a self-propelled robot
• Dissipative effects in odd viscous Stokes flow around a single sphere
• Impact of chirality on active Brownian particle: Exact moments in two and three dimensions
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Odd elasticity and topological waves in active surfaces
• Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
• Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole
• Phase Coexistence in Nonreciprocal Quorum-Sensing Active Matter
• Thermocapillary migrating odd viscous droplets
• Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
• Pair dynamics of active force dipoles in an odd-viscous fluid
• Trading particle shape with fluid symmetry: on the mobility matrix in 3D chiral fluids
• Generalized Three-Sphere Microswimmers
• Emergent Mesoscale Correlations in Active Solids with Noisy Chiral Dynamics
• Hyperuniformity and conservation laws in non-equilibrium systems
• Generalizing odd elasticity theory to odd thermoelasticity for planar materials
• Chirotactic response of microswimmers in fluids with odd viscosity
• Dynamical structures in phase-separating non-reciprocal polar active mixtures
• On the Effective Mass of Mechanical Lattices with Microstructure
• Odd elasticity of a catalytic micromachine
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Non-reciprocal Phase Separations with Non-conserved Order Parameters
• Sociohydrodynamics: data-driven modelling of social behavior
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• The Dance of Odd-Diffusive Particles: A Fourier Approach
• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Irreversible Boltzmann samplers in dense liquids: weak-coupling approximation and mode-coupling theory
• Molecular modelling of odd viscoelastic fluids
• Photoinduced non-reciprocal magnetism
• Robust undulatory locomotion via neuromechanical adjustments in a dissipative medium
• Chiral active systems near a substrate: Emergent damping length controlled by fluid friction
• Synchronization and exceptional points in nonreciprocal active polar mixtures
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Active Nematic Multipoles: Flow Responses and the Dynamics of Defects and Colloids
• Chirality and odd mechanics in active columnar phases
• Odd viscosity suppresses intermittency in direct turbulent cascades
• Taylor columns and inertial-like waves in a three-dimensional odd viscous liquid
• Interactions enhance dispersion in fluctuating channels via emergent flows
• Symmetry-driven Phononic Metamaterials
• Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Quantized crystalline-electromagnetic responses in insulators
• Viscous tweezers: controlling particle orientation with viscosity
• Mechanochemical feedback drives complex inertial dynamics in active solids
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Demonstration of the rotational viscosity transfer across scales in Navier-Stokes turbulence
• Evanescent and inertial-like waves in rigidly-rotating odd viscous liquids
• Remark on the Entropy Production of Adaptive Run-and-Tumble Chemotaxis
• Chirality, confinement and dimensionality govern re-entrant transitions in active matter
• Rheologically tuned modes of collective transport in active viscoelastic films
• Unified description of viscous, viscoelastic, or elastic thin active films on substrates
• Condensate Formation in a Chiral Lattice Gas
• Experimental Modeling of Chiral Active Robots and a Minimal Model of Non-Gaussian Displacements
• Solving the Kinetic Ising Model with Non-Reciprocity
• More is less in unpercolated active solids
• Dumbbell dimer dynamics in three-dimensional chiral fluids
• Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
• Irreversibility of stochastic state transitions in Langevin systems with odd elasticity
• A minimal model with stochastically broken reciprocity
• Phase separation in a chiral active fluid of inertial self-spinning disks
• Odd elasticity in Hamiltonian formalism
• Odd elasticity in disordered chiral active materials
• Hydrodynamic Coulomb drag in odd electron liquids
• Collective actuation in active solids in the presence of a polarizing field: a systematic analysis of the dynamical regimes
• Linear odd electrophoresis of a sphere in a charged chiral active fluid
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Stokes flow in an electronic fluid with odd viscosity
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density
• Stochastic resonance of rotating particles in turbulence
• Screw Symmetry, Chiral Hydrodynamics and Odd Instability in Active Cholesterics
• Rheology of Two-Dimensional Dilute Emulsions
• Nonlinear Odd Viscoelastic Effect
• Yielding in dense active matter
• Topological Flux on a Context Manifold Generates Nonreciprocal Collective Dynamics