Passive odd viscoelasticity
arXiv:2109.06606 · doi:10.1103/PhysRevE.105.054607
Abstract
Active chiral viscoelastic materials exhibit elastic responses perpendicular to the applied stresses, referred to as odd elasticity. We use a covariant formulation of viscoelasticity combined with an entropy production analysis to show that odd elasticity is not only present in active systems but also in broad classes of passive chiral viscoelastic fluids. In addition, we demonstrate that linear viscoelastic chiral solids do require activity in order to manifest odd elastic responses. In order to model the phenomenon of passive odd viscoelasticity we propose a chiral extension of Jeffreys model. We apply our covariant formalism in order to derive the dispersion relations of hydrodynamic modes and obtain clear imprints of odd viscoelastic behavior.
13 pages, 6 figures, corrected implementation of the time-reversal symmetry
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Cited by in corpus (16)
- Odd Viscosity and Odd Elasticity
- The Extreme Mechanics of Viscoelastic Metamaterials
- Oscillatory force autocorrelations in equilibrium odd-diffusive systems
- Lift force in odd compressible fluids
- Odd Cosserat elasticity in active materials
- Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
- Odd elasticity and topological waves in active surfaces
- Hydrodynamics of plastic deformations in electronic crystals
- Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
- Generalizing odd elasticity theory to odd thermoelasticity for planar materials
- Molecular modelling of odd viscoelastic fluids
- Hydrodynamics of thermal active matter
- Chiral flows can induce neck formation in viscoelastic surfaces
- Condensate Formation in a Chiral Lattice Gas
- Nonclassical heat flow in passive chiral solids is third rank, not odd
- Active viscoelastic nematics with partial degree of order