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We discuss hydrodynamic forces acting on a two-dimensional liquid domain that moves laterally within a supported fluid membrane in the presence of odd viscosity. Since active rotating proteins can accumulate inside the domain, we focus on…

Soft Condensed Matter · Physics 2021-12-28 Yuto Hosaka , Shigeyuki Komura , David Andelman

When the time-reversal and parity symmetries in a fluid are broken, transverse transport coefficients can arise in response to perturbations, an example being odd viscosity. We refer to these systems as odd fluids. While much progress has…

Soft Condensed Matter · Physics 2025-08-19 Ege Eren , Michel Fruchart , Vincenzo Vitelli

Active fluids, which are driven at the microscale by non-conservative forces, are known to exhibit novel transport phenomena due to the breaking of time reversal symmetry. Recently, Epstein and Mandadapu [arXiv:1907.10041] obtained…

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

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

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

Diffusion is a fundamental aspect of transport processes in biological systems, and thus, in the development of life itself. And yet, the diffusive dynamics of active fluids with directed rotation, known as chiral fluids, has not been…

Soft Condensed Matter · Physics 2022-11-21 Francisco Vega Reyes , Miguel A. López-Castaño , Álvaro Rodríguez-Rivas

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

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

Chiral fluids, for which the mobility tensor has antisymmetric, off-diagonal components, exhibit transport phenomena absent in conventional systems, including interaction-enhanced diffusion and negative mobility. While these effects have…

Statistical Mechanics · Physics 2026-02-23 Filippo Faedi , Erik Kalz , Ralf Metzler , Abhinav Sharma

We study the initial value problem for a system of equations describing the motion of two-dimensional non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. We consider the complete odd viscous stress…

Analysis of PDEs · Mathematics 2026-05-19 Matthieu Pageard

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

Prior studies have revealed that nonzero odd viscosity is an essential property for chiral active fluids. Here we report that such an odd viscosity also exists in suspensions of non-active or non-externally-driven but chirally-shaped…

Soft Condensed Matter · Physics 2022-05-25 Zhiyuan Zhao , Mingcheng Yang , Shigeyuki Komura , Ryohei Seto

Chiral active materials display odd dynamical effects in both their elastic and viscous responses. We show that the most symmetric mesophase with two-dimensional odd elasticity in three dimensions is chiral, polar and columnar, with…

Soft Condensed Matter · Physics 2025-01-03 S. J. Kole , Gareth P. Alexander , Ananyo Maitra , Sriram Ramaswamy

Chiral fluids - such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids - flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have…

Soft Condensed Matter · Physics 2024-09-04 Tali Khain , Michel Fruchart , Colin Scheibner , Thomas A. Witten , Vincenzo Vitelli

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

The electrophoresis of charged colloidal particles in fluids exhibiting odd viscosity represents a fundamental challenge in understanding transport phenomena within charge-stabilized chiral active suspensions. Here, we provide the first…

Soft Condensed Matter · Physics 2026-04-10 Reinier van Buel , Bogdan Cichocki , Jeffrey C. Everts

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

In a fluid subject to a magnetic field the viscous stress tensor has a dissipationless antisymmetric component controlled by the so-called Hall viscosity. We here propose an all-electrical scheme that allows a determination of the Hall…

Mesoscale and Nanoscale Physics · Physics 2017-11-06 Francesco M. D. Pellegrino , Iacopo Torre , Marco Polini

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

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