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Chiral active fluids consist of self-spinning particles that rotate as a result of a continuous injection of energy on the microscopic scale (e.g., by activity or an external field). The hydrodynamics of such fluids is described by…

Fluid Dynamics · Physics 2025-10-23 Laura Meissner-Oszer , Bogdan Cichocki , Jeffrey C. Everts

Odd viscosity is a transport coefficient that can occur when fluids experience breaking of parity and time-reversal symmetry. Previous knowledge indicates that cylinders in incompressible odd viscous fluids, under no-slip boundary…

Fluid Dynamics · Physics 2026-01-13 Ruben Lier

The Stokes equation describes the motion of fluids when inertial forces are negligible compared to viscous forces. In this article, we explore the consequence of parity-violating and non-dissipative (i.e. odd) viscosities on Stokes flows in…

Fluid Dynamics · Physics 2022-02-01 Tali Khain , Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

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

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

A fluid, with broken time-reversal symmetry, would exhibit odd transport coefficients, such as odd viscosity, thermal conductivity and diffusion coefficient, which may fundamentally alter the fluid properties and significantly influence the…

Soft Condensed Matter · Physics 2026-05-07 Yuxing Jiao , Mingcheng Yang

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

Stokesian Dynamics is a well-established computational method for simulating dynamics of many particles suspended in a conventional passive fluid medium. Active fluids composed of self-propelling particles with broken time reversal symmetry…

Fluid Dynamics · Physics 2023-01-03 Hang Yuan , Monica Olvera de la Cruz

Intermittency refers to the broken self-similarity of turbulent flows caused by anomalous spatio-temporal fluctuations. In this Letter, we ask how intermittency is affected by a non-dissipative viscosity, known as odd viscosity (also Hall…

Fluid Dynamics · Physics 2025-10-08 Sihan Chen , Xander M. de Wit , Michel Fruchart , Federico Toschi , Vincenzo Vitelli

We study the deformation of a two-dimensional viscous droplet in simple shear in the presence of odd viscosity. We derive an analytical solution for the droplet shape and surrounding flow field within the framework of odd Stokes flow,…

Soft Condensed Matter · Physics 2026-05-11 Thomas Appleford , Hugo França , Maziyar Jalaal

Odd viscosity arises in systems with time reversal symmetry breaking, which creates non-dissipative effects. One method to probe changes in viscosity is to examine the dynamics of a single probe particle driven though a medium, a technique…

Soft Condensed Matter · Physics 2024-04-23 C. J. O. Reichhardt , C. Reichhardt

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

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 D. S. Zohrabyan , M. M. Glazov

We discuss the lateral dynamics of two active force dipoles, which interact with each other via hydrodynamic interactions in a thin fluid layer that is active and chiral. The fluid layer is modeled as a two-dimensional (2D) compressible…

Soft Condensed Matter · Physics 2023-08-02 Yuto Hosaka , David Andelman , Shigeyuki Komura

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

The flow of momentum and energy in a fluid is typically associated with dissipative transport coefficients: viscosity and thermal conductivity. Fluids that break certain symmetries such as mirror symmetry and time-reversal invariance can…

Statistical Mechanics · Physics 2022-02-07 Michel Fruchart , Ming Han , Colin Scheibner , Vincenzo Vitelli

Odd fluids are a class of fluids characterized by non-zero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was…

Soft Condensed Matter · Physics 2025-08-07 Yuxing Jiao , Mingcheng Yang

Odd viscosity couples stress to strain rate in a dissipationless way. It has been studied in plasmas under magnetic fields, superfluid ${\rm He}^3$, quantum-Hall fluids, and recently in the context of chiral active matter. In most of these…

Soft Condensed Matter · Physics 2024-09-04 Tomer Markovich , Tom C. Lubensky

We introduce a theory of "odd viscodiffusive fluids," which exhibit three-dimensional odd transport phenomena through the coupling of viscous and diffusive transport. In these fluids, diffusive fluxes may arise from orthogonal velocity…

Soft Condensed Matter · Physics 2024-11-08 Alhad Deshpande , Cory Hargus , Karthik Shekhar , Kranthi K. Mandadapu

Active particles with a temperature distribution, "hot particles", have a distinct effect on the fluid that surrounds them. The temperature gradients they create deem the fluid's viscosity spatially dependent, therefore violating the…

Soft Condensed Matter · Physics 2024-08-27 Osher Arbib , Naomi Oppenheimer
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