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We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill-posed both in the linearized case around a local equilibrium solution and also in the full nonlinear regime.…

High Energy Physics - Theory · Physics 2023-03-15 Enrico Speranza , Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

The hydrodynamic formulation of the Dirac equation has historically been hindered by the inability to close the system of physical variables without resorting to infinite moment hierarchies. We resolve this longstanding issue by developing…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Jorge Meza-Domínguez , Tonatiuh Matos

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

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

In this note, we study the hydrodynamic limit, in the hyperbolic space-time scaling, for a one-dimensional unpinned chain of quantum harmonic oscillators with random masses. To the best of our knowledge, this is among the first examples,…

Mathematical Physics · Physics 2021-08-06 Amirali Hannani

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

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

Nonlinear waves in defocusing media are investigated in the framework of the hydrodynamic description of light as a photon fluid. The observations are interpreted in terms of an emergent curved spacetime generated by the waves themselves,…

General Relativity and Quantum Cosmology · Physics 2015-12-07 Francesco Marino , Calum Maitland , David Vocke , Antonello Ortolan , Daniele Faccio

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…

Many of the biological phenomena involve collective dynamics driven by self-propelled motion and nonequilibrium force (i.e., activity) that result in features unexpected from equilibrium physics. On the other hand, biological experiments…

Soft Condensed Matter · Physics 2020-09-08 Lisa Yamauchi , Tomoya Hayata , Masahito Uwamichi , Tomoki Ozawa , Kyogo Kawaguchi

Since the pioneering work of Kelvin on Laplace tidal equations, a zoology of trapped waves have been found in the context of coastal dynamics. Among them, the one originally computed by Kelvin plays a particular role, as it is an…

Fluid Dynamics · Physics 2021-10-04 Antoine Venaille , Pierre Delplace

We formulate the equations of fluid dynamics as an intersection-theoretic problem on an infinite-dimensional symplectic manifold naturally associated with spacetime. This perspective separates the structures determined by the equation of…

High Energy Physics - Theory · Physics 2026-05-18 Nikita Nekrasov , Paul Wiegmann

We consider chiral liquids, that is liquids consisting of massless fermions and right-left asymmetric. In such media, one expects existence of electromagnetic current flowing along an external magnetic field, associated with the chiral…

High Energy Physics - Theory · Physics 2016-01-19 A. Avdoshkin , V. P. Kirilin , A. V. Sadofyev , V. I. Zakharov

The particle emission in relativistic hydrodynamic model is formulated assuming a sharp 3-dimensional space-time freeze-out hypersurface. The boundary conditions correspond to the energy-momentum and charge conservation between fluid and…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein

We develop a hydrodynamic description of self-generated electrolyte flow in capillaries whose bounding walls feature both non-uniform distributions of charge and non-uniform active ionic fluxes. The hydrodynamic velocity arising in such a…

Soft Condensed Matter · Physics 2026-02-05 Ahis Shrestha , Eleftherios Kirkinis , Monica Olvera de la Cruz

The self-organization of turbulence into regular zonal flows can be fruitfully investigated with quasilinear methods and statistical descriptions. A wave kinetic equation that assumes asymptotically large-scale zonal flows is pathological.…

Plasma Physics · Physics 2016-11-15 Jeffrey B. Parker

The free motion of charged colloids within ionic solutions and in the vicinity of charged boundaries, is a phenomenon that occurs in various natural, biological and industrial settings. Here, we develop an electrohydrodynamic lubrication…

Soft Condensed Matter · Physics 2026-04-29 Anirban Chatterjee , Yacine Amarouchene , Thomas Salez

Three-dimensional geophysical fluids support both internal and boundary-trapped waves. To obtain the normal modes in such fluids we must solve a differential eigenvalue problem for the vertical structure (for simplicity, we only consider…

Fluid Dynamics · Physics 2021-09-15 Houssam Yassin

Conventional wisdom holds that macroscopic classical phenomena naturally emerge from microscopic quantum laws. However, despite this mantra, building direct connections between these two descriptions has remained an enduring scientific…

Active hydrodynamic theories are a powerful tool to study the emergent ordered phases of internally driven particles such as bird flocks, bacterial suspension and their artificial analogues. While theories of orientationally ordered phases…

Soft Condensed Matter · Physics 2019-03-06 Ananyo Maitra , Martin Lenz