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Three-dimensional non-rotating odd viscous liquids give rise to Taylor columns and support {axisymmetric} inertial-like waves [\emph{J. Fluid Mech.}, vol. {973}, A30, (2023)]. When an odd viscous liquid is subjected to rigid-body rotation…

Fluid Dynamics · Physics 2026-02-02 E. Kirkinis , M. Olvera de la Cruz

Elasticity typically refers to a material's ability to store energy, while 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…

Soft Condensed Matter · Physics 2023-03-29 Michel Fruchart , Colin Scheibner , Vincenzo Vitelli

In this work, we present observable consequences of parity-violating odd viscosity term in incompressible 2+1D hydrodynamics. For boundary conditions depending on the velocity field (flow) alone we show that: (i) The fluid flow quantified…

Fluid Dynamics · Physics 2017-10-04 Sriram Ganeshan , Alexander G. Abanov

We analyze the hydrodynamics of a rotating disk in a two-dimensional compressible fluid layer with odd viscosity. Unlike conventional fluids, odd viscosity introduces a radial flow component that can be directed either inward or outward,…

Fluid Dynamics · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Yuto Hosaka , Elsen Tjhung , Andrej Vilfan

The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and strongly non-linear waves in a three-dimensional fluid with…

Fluid Dynamics · Physics 2025-02-04 Alex Doak , Guido Baardink , Paul A Milewski , Anton Souslov

In common fluids, viscosity is associated with dissipation. However, when time-reversal-symmetry is broken a new type of non-dissipative `viscosity' may emerge. Recent theories and experiments on classical 2D systems with active spinning…

Soft Condensed Matter · Physics 2021-07-28 Tomer Markovich , Tom C. Lubensky

There is a recent interest in studying odd elasticity in soft solids. Current focus has been on simple solids. However, many soft solids are structured and can exhibit nematic elasticity or viscoelasticity. Here we generalize the concept of…

Soft Condensed Matter · Physics 2026-03-19 Zeyang Mou , Haijie Ren , Ding Xu , Igor S. Aranson , Rui Zhang

Odd viscous liquids are endowed with an intrinsic mechanism that tends to restore a displaced particle back to its original position. Since the odd viscous stress does not dissipate energy, inertial oscillations and inertial-like waves can…

Fluid Dynamics · Physics 2023-10-20 E. Kirkinis , M. Olvera de la Cruz

Odd viscoelastic materials are constrained by fewer symmetries than their even counterparts. The breaking of these symmetries allow these materials to exhibit different features, which have attracted considerable attention in recent years.…

Soft Condensed Matter · Physics 2024-08-21 Charlie Duclut , Stefano Bo , Ruben Lier , Jay Armas , Piotr Surówka , Frank Jülicher

Flows with deformable interfaces are commonly controlled by applying an external field or modifying the boundaries that interact with the fluid, but realizing such solutions can be demanding or impractical in various scenarios. Here, we…

Soft Condensed Matter · Physics 2025-03-28 Hugo França , Maziyar Jalaal

We compute the response matrix for a tracer particle in a compressible fluid with odd viscosity living on a two-dimensional surface. Unlike the incompressible case, we find that an odd compressible fluid can produce an odd lift force on a…

Soft Condensed Matter · Physics 2023-08-30 Ruben Lier , Charlie Duclut , Stefano Bo , Jay Armas , Frank Jülicher , Piotr Surówka

We consider free surface dynamics of a two-dimensional incompressible fluid with odd viscosity. The odd viscosity is a peculiar part of the viscosity tensor which does not result in dissipation and is allowed when parity symmetry is broken.…

Fluid Dynamics · Physics 2018-08-01 Alexander G. Abanov , Tankut Can , Sriram Ganeshan

Non-reciprocal interactions fueled by local energy consumption can be found in biological and synthetic active matter at scales where viscoelastic forces are important. Such systems can be described by "odd" viscoelasticity, which assumes…

Soft Condensed Matter · Physics 2023-10-31 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

Vorticity plays a prominent role in the dynamics of incompressible viscous flows. In two-dimensional freely decaying turbulence, after a short transient period, evolution is essentially driven by interactions of viscous vortices, the…

Analysis of PDEs · Mathematics 2016-10-27 Thierry Gallay , Yasunori Maekawa

The manuscript focuses on the theoretical stability analysis of the viscous liquid over a vibrating inclined rigid bed when the fluid undergoes an impact of odd viscosity. Such an impact emerges in the classical fluid owing to the broken…

Fluid Dynamics · Physics 2024-10-01 Md. Mouzakkir Hossain , Mrityunjoy Saha , Harekrushna Behera , Sukhendu Ghosh

Odd viscosity can emerge in 3D hydrodynamics when the time reversal symmetry is broken and anisotropy is introduced. Its ramifications on the stability of the prototypical Taylor-Couette flow in curved geometries have remained unexplored.…

Fluid Dynamics · Physics 2023-09-22 Guangle Du , Rudolf Podgornik

We consider an active, stochastic microscopic model of particles suspended in a fluid and show that the coarse-grained description of this model renders odd viscoelasticity. The particles are odd dumbbells, each featuring a robotic device…

Soft Condensed Matter · Physics 2024-10-23 Paweł Matus , Ruben Lier , Piotr Surówka

Starting from a microscopic multiparticle Langevin equation, we systematically derive a hydrodynamic description in terms of density and momentum fields for chiral active particles interacting via standard repulsive and nonlocal odd forces.…

Soft Condensed Matter · Physics 2026-01-28 Umberto Marini Bettolo Marconi , Alessandro Petrini , Raphaël Maire , Lorenzo Caprini

Capillary waves are a classical free-surface phenomenon in fluid mechanics, yet their behavior in chiral fluids remains largely unexplored. We show that odd viscosity breaks the reciprocity of capillary waves. Using linear theory together…

Fluid Dynamics · Physics 2026-03-17 Holly du Plessis , Pedro Cosme , Hugo França , Maziyar Jalaal

When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Elementary and basic features of odd viscosity are examined by…

Fluid Dynamics · Physics 2007-05-23 J. E. Avron
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