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We investigate the bulk hydrodynamics of the chiral vortex matter on an arbitrary closed surface, extending the ideas of [20, 41]. Placing this important example of a chiral medium onto a curved geometry reveals the geometric nature of odd…

Fluid Dynamics · Physics 2019-11-01 A. Bogatskiy

Active fluids are a class of non-equilibrium systems where energy is injected into the system continuously by the constituent particles themselves. Many examples, such as bacterial suspensions and actomyosin networks, are intrinsically…

Soft Condensed Matter · Physics 2017-06-26 Elsen Tjhung , Michael E. Cates , Davide Marenduzzo

Many biological systems, such as bacterial suspensions and actomyosin networks, form polar liquid crystals. These systems are `active' or far-from-equilibrium, due to local forcing of the solvent by the constituent particles. In many cases…

Soft Condensed Matter · Physics 2019-08-02 Tomer Markovich , Elsen Tjhung , Michael E. Cates

In simple fluids, such as water, invariance under parity and time-reversal symmetry imposes that the rotation of constituent 'atoms' are determined by the flow and that viscous stresses damp motion. Activation of the rotational degrees of…

An active colloidal fluid comprised of self-propelled spinning particles injecting energy and angular momentum at the microscale demonstrates spontaneous collective states that range from flocks to coherent vortices. Despite their seeming…

Soft Condensed Matter · Physics 2020-11-16 Bo Zhang , Benjamin Hilton , Christopher Short , Anton Souslov , Alexey Snezhko

Controlling fluidic flows in active droplets is crucial in developing intelligent models to understand and mimic single-celled microorganisms. Typically, these fluidic flows are affected by the interfacial dynamics of chemical agents. We…

Soft Condensed Matter · Physics 2024-05-10 Muhammad Turab Ali Khan , Gaurav Gardi , Ren Hao Soon , Mingchao Zhang , Metin Sitti

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

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

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

In equilibrium liquid crystals, chirality leads to a variety of spectacular three-dimensional structures, but chiral and achiral phases with the same broken continuous symmetries have identical long-time, large-scale dynamics. In this…

Soft Condensed Matter · Physics 2021-06-23 S. J. Kole , Gareth P. Alexander , Sriram Ramaswamy , Ananyo Maitra

Some nonequilibrium systems exhibit anomalous suppression of the large-scale density fluctuations, so-called hyperuniformity. Recently, hyperuniformity was found numerically in a simple model of chiral active fluids [Q.-L. Lei et al., Sci.…

Soft Condensed Matter · Physics 2023-11-13 Yuta Kuroda , Kunimasa Miyazaki

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

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

The interaction of a suspension of rotating colloids with a periodically patterned structure is here investigated by means of continuum theoretical predictions and hydrodynamic simulations. Close to the obstacle surface, rotors circulate…

Statistical Mechanics · Physics 2025-08-22 Joscha Mecke , Yongxiang Gao , Marisol Ripoll

Under partial confinement, the motion of colloidal particles is restricted to a plane but their dynamics is influenced by hydrodynamic interactions mediated by the unconfined, three--dimensional flow of the embedding fluid. We demonstrate…

Soft Condensed Matter · Physics 2013-05-17 J. Bleibel , A. Dominguez , F. Günther , J. Harting , M. Oettel

We derive a low energy effective field theory for chiral superfluids, which accounts for both spontaneous symmetry breaking and fermionic ground-state topology. Using the theory, we show that the odd (or Hall) viscosity tensor, at small…

Quantum Gases · Physics 2019-09-16 Omri Golan , Carlos Hoyos , Sergej Moroz

We study a model chiral fluid in two dimensions composed of Brownian disks interacting via a Lennard-Jones potential and a non-conservative transverse force, mimicking colloids spinning at a rate $\omega$. The system exhibits a phase…

Soft Condensed Matter · Physics 2023-07-10 Claudio B. Caporusso , Giuseppe Gonnella , Demian Levis

Odd elasticity encompasses active elastic systems whose stress-strain relationship is not compatible with a potential energy. As the requirement of energy conservation is lifted from linear elasticity, new anti-symmetric (odd) components…

Soft Condensed Matter · Physics 2025-07-15 Michele Fossati , Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

We consider stochastic dynamics of self-propelled particles with nonlocal normalized alignment interactions subject to phase lag. The role of the lag is to indirectly generate chirality into particle motion. To understand large scale…

Adaptation and Self-Organizing Systems · Physics 2020-08-12 Nikita Kruk , José A. Carrillo , Heinz Koeppl

For homogeneous and isotropic linearly elastic solids and for incompressible fluids under low-Reynolds-number conditions the fundamental solutions of the associated continuum equations were derived a long time ago for bulk systems. That is,…

Soft Condensed Matter · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Lukas Fischer , Marc Pradas , Andreas M. Menzel