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This paper develops a helicity-aware physics-informed neural network framework for incompressible non-Newtonian flow in rotational form. In addition to the energy law and the incompressibility constraint, helicity is a fundamental geometric…

Fluid Dynamics · Physics 2026-04-10 Zheng Lu , Young Ju Lee , Jiwei Jia , Ziqian Li

We derive the set of inequalities that is necessary and sufficient for nonlinear causality and linear stability of first-order relativistic hydrodynamics with either a $U(1)_V$ conserved current or a $U(1)_A$ current with a chiral anomaly…

High Energy Physics - Theory · Physics 2024-09-11 Nick Abboud , Enrico Speranza , Jorge Noronha

The effect of helicity (velocity-vorticity correlations) is studied in direct numerical simulations of rotating turbulence down to Rossby numbers of 0.02. The results suggest that the presence of net helicity plays an important role in the…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , A. Pouquet

Exact, degenerate two-forms on time-extended space R X M which are invariant under the unsteady, incompressible fluid motion on 3D region M are introduced. The equivalence class up to exact one-forms of each potential one-form is splitted…

Mathematical Physics · Physics 2016-08-15 Hasan Gümral

The hallmark of two-dimensional chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only…

Quantum Physics · Physics 2026-04-24 Yarden Sheffer , Ruihua Fan , Ady Stern , Erez Berg , Shinsei Ryu

Building a general theoretical framework to describe the microscopic origin of macroscopic chirality in (colloidal) liquid crystals is a long-standing challenge. Here, we combine classical density functional theory with Monte Carlo…

Soft Condensed Matter · Physics 2015-06-23 Simone Dussi , Simone Belli , René van Roij , Marjolein Dijkstra

The spatio-temporal features of the velocity field of a fully-developed turbulent channel flow are investigated through the natural visibility graph (NVG) method, which is able to fully map the intrinsic structure of the time-series into…

Fluid Dynamics · Physics 2017-11-13 Giovanni Iacobello , Stefania Scarsoglio , Luca Ridolfi

To faithfully simulate ITER and other modern fusion devices, one must resolve electron and ion fluctuation scales in a five-dimensional phase space and time. Simultaneously, one must account for the interaction of this turbulence with the…

Plasma Physics · Physics 2009-01-22 Michael Barnes

The relation between the clustering properties of luminous matter in the form of galaxies and the underlying dark matter distribution is of fundamental importance for the interpretation of ongoing and upcoming galaxy surveys. The so called…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Tobias Baldauf , Uros Seljak , Vincent Desjacques , Patrick McDonald

The topology of one-dimensional chiral systems is captured by the winding number of the Hamiltonian eigenstates. Here we show that this invariant can be read-out by measuring the mean chiral displacement of a single-particle wavefunction…

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

Experimental and numerical study of the steady-state cyclonic vortex from isolated heat source in a rotating fluid layer is described. The structure of laboratory cyclonic vortex is similar to the typical structure of tropical cyclones from…

Fluid Dynamics · Physics 2017-05-03 A. Sukhanovskii , A. Evgrafova , E. Popova

Fluid flow through intricate confining geometries often exhibits complex behaviors, certainly in porous materials, e.g. in groundwater flows or the operation of filtration devices and porous catalysts. However, it has remained extremely…

We employ novel digital Fresnel reflection holography to capture the 3D flows within the viscous sublayer of a smooth-wall turbulent channel flow at Re{\tau}=400. The measurements reveal unsteady and diverse flow patterns in the sublayer…

Fluid Dynamics · Physics 2021-04-23 Santosh Kumar Sankar , Xinyi Huang , Xiang Yang , Jiarong Hong

The evolution of correlation characteristics in homogeneous helical turbulence is considered. Additional K'arm'an-Howarth type equations, describing the evolution of the mixed correlation tensor of the velocity and vorticity are obtained.…

chao-dyn · Physics 2008-02-03 Otto Chkhetiani

We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The…

Other Condensed Matter · Physics 2018-02-02 Maria Maffei , Alexandre Dauphin , Filippo Cardano , Maciej Lewenstein , Pietro Massignan

Reduction of flow compressibility with the corresponding ideally invariant helicities, universally for various fluid models of neutral and ionized gases, can be argued statistically and associated with the geometrical scenario in the…

Fluid Dynamics · Physics 2024-06-19 Jian-Zhou Zhu

This article introduces a new efficient particle method for the numerical simulation of crystallization and precipitation at the pore scale of real rock geometries extracted by X-Ray tomography. It is based on the coupling between…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 Sarah Perez , Jean-Matthieu Etancelin , Philippe Poncet

Vorticity describes the spinning motion of a fluid, i.e., the tendency to rotate, at every point in a flow. The interest in performing accurate and localized measurements of vorticity reflects the fact that many of the quantities that…

We study the turbulent dynamics of a relativistic (2 + 1)-dimensional fluid placed in a stochastic gravitational potential. We demonstrate that the dynamics of the fluid can be obtained using a dual holographic description realized by an…

High Energy Physics - Theory · Physics 2024-02-14 Yaron Oz , Sebastian Waeber , Amos Yarom