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Fluids composed of chiral active components can exhibit odd viscosity, a property that breaks time-reversal and parity symmetries. We investigate the hydrodynamic response to monopole and dipole singularities in a compressible thin fluid…

Soft Condensed Matter · Physics 2026-05-19 Abdallah Daddi-Moussa-Ider , Yuto Hosaka , Shigeyuki Komura

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

We discuss the linear hydrodynamic response of a two-dimensional active chiral compressible fluid with odd viscosity. The viscosity coefficient represents broken time-reversal and parity symmetries in the 2D fluid and characterizes the…

Fluid Dynamics · Physics 2021-05-05 Yuto Hosaka , Shigeyuki Komura , David Andelman

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

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

Chiral active fluids are materials composed of self-spinning rotors that continuously inject energy and angular momentum at the microscale. Out-of-equilibrium fluids with active-rotor constituents have been experimentally realized using…

Soft Condensed Matter · Physics 2017-11-22 Debarghya Banerjee , Anton Souslov , Alexander G. Abanov , Vincenzo Vitelli

We theoretically and computationally study the low-Reynolds-number hydrodynamics of a linear active microswimmer surfing on a compressible thin fluid layer characterized by an odd viscosity. Since the underlying three-dimensional fluid is…

Soft Condensed Matter · Physics 2023-10-25 Yuto Hosaka , Ramin Golestanian , Abdallah Daddi-Moussa-Ider

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

We develop a hydrodynamic framework for the interactions and collective dynamics of force dipoles embedded in a compressible fluid membrane supported by a shallow viscous subphase. Starting from the generalized two-dimensional Stokes…

Soft Condensed Matter · Physics 2026-03-10 Sneha Krishnan , Udaya Maurya , Rickmoy Samanta

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

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

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

Odd viscosity is a property of chiral active fluids with broken time-reversal and parity symmetries. We show that the flow of such a fluid around a rotating axisymmetric body is exactly solvable and use this solution to determine the…

Soft Condensed Matter · Physics 2024-08-29 Yuto Hosaka , Michalis Chatzittofi , Ramin Golestanian , Andrej Vilfan

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning…

Soft Condensed Matter · Physics 2022-07-22 Debarghya Banerjee , Anton Souslov , Vincenzo Vitelli

We consider an isotropic compressible non-dissipative fluid with broken parity subject to free surface boundary conditions in two spatial dimensions. The hydrodynamic equations describing the bulk dynamics of the fluid as well as the free…

Fluid Dynamics · Physics 2020-10-28 Alexander G. Abanov , Tankut Can , Sriram Ganeshan , Gustavo M. Monteiro

We consider the two-dimensional incompressible inhomogeneous Navier-Stokes equations with odd viscosity, where the shear and the odd viscosity coefficients depend continuously on the unknown density function. We establish the existence of…

Analysis of PDEs · Mathematics 2025-08-26 Rebekka Zimmermann

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

The Lorentz reciprocal theorem -- that is used to study various transport phenomena in hydrodynamics -- is violated in chiral active fluids that feature odd viscosity with broken time-reversal and parity symmetries. Here we show that the…

Soft Condensed Matter · Physics 2023-10-27 Yuto Hosaka , Ramin Golestanian , Andrej Vilfan

Parity-odd transport is a central signature of chiral fluids, yet analytical predictions are sparse. Here, we introduce a minimal two-dimensional hard-disk gas in which chirality arises solely from a collision-induced transverse impulse.…

Statistical Mechanics · Physics 2026-03-05 Raphael Maire , Alessandro Petrini , Umberto Marini Bettolo Marconi , Lorenzo Caprini
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