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Chiral active fluids can exhibit odd viscosity, a property that breaks the time-reversal and parity symmetries. Here, we examine the hydrodynamic flows of a rigid disk moving in a compressible 2D fluid layer with odd viscosity, supported by…

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

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

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 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

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 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 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

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

Autonomous and driven transport in chiral active fluids have been shown to exhibit features that cannot be accommodated within the classical formulation of fluid mechanics, due to the role of odd viscosity. We generalize the theory of…

Soft Condensed Matter · Physics 2026-04-24 Michalis Chatzittofi , Yuto Hosaka , Andrej Vilfan , Ramin Golestanian

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 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

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

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

Chiral active fluids break both time-reversal and parity symmetry, leading to exotic transport phenomena unobservable in ordinary passive fluids. We develop a generalized Green-Kubo relation for the anomalous lift experienced by a passive…

Soft Condensed Matter · Physics 2023-04-26 Anthony R. Poggioli , David T. Limmer

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

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

Diffusive transport is characterized by a diffusivity tensor which may, in general, contain both a symmetric and an antisymmetric component. Although the latter is often neglected, we derive Green-Kubo relations showing it to be a general…

Statistical Mechanics · Physics 2022-03-08 Cory Hargus , Jeffrey M. Epstein , Kranthi K. Mandadapu

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…

Soft Condensed Matter · Physics 2022-05-30 Ruben Lier , Jay Armas , Stefano Bo , Charlie Duclut , Frank Jülicher , Piotr Surówka
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