Passive odd viscoelasticity

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 require activity in order to manifest odd elastic responses. 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.

Figure 1

Diagram corresponding to the full bulk sector given in Sec. 4d.

Figure 2

Diagram corresponding to the shear sector. “&” refers to a parallel connection of an odd and an even component of the same type.

Figure 3

The vector $N^i$ describes the motion of the fluid particles with respect to the coordinate frame.

Figure 4

Material diagram corresponding to the passive odd Kelvin-Voigt model.

Figure 5

Diagram corresponding to the passive odd Maxwell model. The “&” refers to a parallel connection of an odd and an even component of the same type.