Odd Viscosity and Odd Elasticity

Elasticity typically refers to a material's ability to store energy, whereas 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...

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Bibliographic Details
Published inAnnual review of condensed matter physics Vol. 14; no. 1; pp. 471 - 510
Main Authors Fruchart, Michel, Scheibner, Colin, Vitelli, Vincenzo
Format Journal Article
LanguageEnglish
Published Annual Reviews 10.03.2023
Subjects
active matter
continuum mechanics
fluid mechanics
hydrodynamics
nonequilibrium
rheology
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Summary:Elasticity typically refers to a material's ability to store energy, whereas 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 viscosity and odd elasticity 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 and astrophysical gases to active and driven matter. Finally, we comment on microscopic mechanisms by which odd viscosity and odd elasticity arise.
ISSN:1947-5454
1947-5462
DOI:10.1146/annurev-conmatphys-040821-125506