Passive odd viscoelasticity

TL;DR

This paper demonstrates that passive chiral viscoelastic fluids can exhibit odd elasticity through a covariant formulation and entropy analysis, challenging the notion that activity is necessary for such responses.

Contribution

It introduces a covariant framework and a chiral Jeffreys model to describe passive odd viscoelasticity, expanding understanding beyond active systems.

Findings

Passive chiral fluids show odd elastic responses without activity.

Derived dispersion relations reveal signatures of odd viscoelasticity.

Passive odd viscoelasticity can be modeled with a chiral extension of Jeffreys model.

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.