Active viscoelasticity of odd materials

Abstract

The mechanical response of active media ranging from biological gels to living tissues is governed by a subtle interplay between viscosity and elasticity. In this Letter, we generalize the canonical Kelvin-Voigt and Maxwell models to active viscoelastic media that break both parity and time-reversal symmetries. The resulting continuum theories exhibit viscous and elastic tensors that are both antisymmetric, or odd, under exchange of pairs of indices. We analyze how these parity violating viscoelastic coefficients determine the relaxation mechanisms and wave-propagation properties of odd materials.

arXiv comment6 pages, 3 figures

References in corpus (25)

• The Mechanics and Statistics of Active Matter
• Viscosity of Quantum Hall Fluids
• Odd elasticity
• Odd viscosity in chiral active fluids
• Topological waves in fluids with odd viscosity
• Synchronization and Collective Dynamics in a Carpet of Microfluidic Rotors
• Non-Hermitian band topology and skin modes in active elastic media
• Spatiotemporal order and emergent edge currents in active spinner materials
• Viscoelastic hydrodynamics and holography
• Mechanics of active surfaces
• Odd viscosity in two-dimensional incompressible fluids
• Swimming at Low Reynolds Number in Fluids with Odd (Hall) Viscosity
• Active Curved Polymers form Vortex Patterns on Membranes
• Hall viscosity, topological states and effective theories
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Oriented Active Solids
• Phenomenology of non-relativistic parity-violating hydrodynamics in 2+1 dimensions
• Spontaneous rotation can stabilise ordered chiral active fluids
• Chiral stresses in nematic cell monolayers
• Possible origins of macroscopic left-right asymmetry in organisms
• Relativistic viscoelastic fluid mechanics
• A mechanism for anomalous transport in chiral active liquids
• Lift force due to odd (Hall) viscosity
• Universal description of viscoelasticity with foliation preserving diffeomorphisms
• Possible mechanisms for initiating macroscopic left-right asymmetry in developing organisms

Cited by in corpus (28)

• Odd dynamics of living chiral crystals
• Odd Viscosity and Odd Elasticity
• Realization of active metamaterials with odd micropolar elasticity
• Statistical mechanics of a chiral active fluid
• The Extreme Mechanics of Viscoelastic Metamaterials
• Non-equilibrium fluctuations and nonlinear response of an active bath
• Passive odd viscoelasticity
• Lift force in odd compressible fluids
• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Odd Cosserat elasticity in active materials
• Time-correlation functions for odd Langevin systems
• Dual gauge theory formulation of planar quasicrystal elasticity and fractons
• Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
• Long-Range Nematic Order in Two-Dimensional Active Matter
• Odd elasticity and topological waves in active surfaces
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Generalizing odd elasticity theory to odd thermoelasticity for planar materials
• Rayleigh Edge Waves in Two-Dimensional Crystals with Lorentz Forces -- from Skyrmion Crystals to Gyroscopic Media
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Molecular modelling of odd viscoelastic fluids
• Simulating structured fluids with tensorial viscoelasticity
• Chiral flows can induce neck formation in viscoelastic surfaces
• Condensate Formation in a Chiral Lattice Gas
• Wave propagation in an elastic lattice with non-reciprocal stiffness and engineered damping
• Hydrodynamic correlation functions of chiral active fluids
• Active elastocapillarity in soft solids with negative surface tension
• Optimal power and efficiency of odd engines