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We develop a kinetic theory of point vortices in two-dimensional hydrodynamics taking collective effects into account. We first recall the approach of Dubin & O'Neil [Phys. Rev. Lett. 60, 1286 (1988)] that leads to a Lenard-Balescu-type…

统计力学 · 物理学 2015-05-28 Pierre-Henri Chavanis

We exploit new techniques for generating vortices and controlling their interactions in an optical beam in a nonlinear atomic vapor. A precise control of the vortex positions allows us to observe strong interactions leading to vortex…

原子物理 · 物理学 2022-04-27 P. Azam , A. Griffin , S. Nazarenko , R. Kaiser

We consider a dilute gas of inertial particles transported by the turbulent flow. Due to inertia the particles concentrate preferentially outside vortices. The pair-correlation function of the particles' concentration is known to obey at…

混沌动力学 · 物理学 2012-01-16 Itzhak Fouxon

In the framework of 2D ideal Hydrodynamics a vortex system is defined as a smooth vorticity function having few positive local maxima and negative local minima separated by curves of zero vorticity. Invariants of such structures are…

数学物理 · 物理学 2020-04-22 Leonid I. Piterbarg

Vortices are known to play a key role in the dynamics of the quantum trajectories defined within the framework of the de Broglie-Bohm formalism of quantum mechanics. It has been rigourously proved that the motion of a vortex in the…

量子物理 · 物理学 2010-08-17 F. Borondo , A. Luque , J. Villanueva , D. A. Wisniacki

Quantum vorticity in polariton systems has been traditionally investigated within the frame of many-body phenomena under the mean-field or coherent approaches. In the present work, we show that the fully quantized picture describes richer…

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure…

量子物理 · 物理学 2014-04-14 O. N. Golubjeva , S. V. Sidorov

This fluid dynamics video shows "knotted" vortices in real fluids.

流体动力学 · 物理学 2013-10-16 S. S. Chikatamarla , J. Favre , F. Boesch , I. V. Karlin

We investigate a relativistic adaptation of the Lattice Boltzmann Method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical Lattice Boltzmann Method and its extension to…

流体动力学 · 物理学 2024-06-12 Mark Watson

Hydrodynamic interactions between fluid-dispersed particles are ubiquitous in soft matter and biological systems and they give rise to intriguing collective phenomena. While it was reported that these interactions can facilitate…

软凝聚态物质 · 物理学 2022-08-29 Eric Cereceda-López , Dominik Lips , Antonio Ortiz-Ambriz , Artem Ryabov , Philipp Maass , Pietro Tierno

Spin polarization and spin transport are common phenomena in many quantum systems. Relativistic spin hydrodynamics provides an effective low-energy framework to describe these processes in quantum many-body systems. The fundamental symmetry…

核理论 · 物理学 2025-08-26 Xu-Guang Huang

Quantum interference is investigated within the complex quantum Hamilton-Jacobi formalism. As shown in a previous work [Phys. Rev. Lett. 102, 250401 (2009)], complex quantum trajectories display helical wrapping around stagnation tubes and…

量子物理 · 物理学 2010-09-09 Chia-Chun Chou , Angel S. Sanz , Salvador Miret-Artes , Robert E. Wyatt

In this review, we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomic-gas Bose--Einstein condensates in a trapping potential, especially focusing on experimental research…

其他凝聚态物理 · 物理学 2009-07-10 Kenichi Kasamatsu , Makoto Tsubota

Particles are today the main tool to study superfluid turbulence and visualize quantum vortices. In this work, we study the dynamics and the spatial distribution of particles in co-flow and counterflow superfluid helium turbulence in the…

其他凝聚态物理 · 物理学 2020-03-18 Juan Ignacio Polanco , Giorgio Krstulovic

We carry out an in-depth analysis of a recently introduced vortex gas model of homogeneous and isotropic turbulence. Direct numerical simulations are used to provide a concrete physical interpretation of one of the model's constituent…

流体动力学 · 物理学 2023-12-05 L. Moriconi , R. M. Pereira , V. J. Valadão

We derive the hydrodynamic equations for nematic liquid crystals lying on curved substrates. We invoke the Lagrange-Rayleigh variational principle to adapt the Ericksen-Leslie theory to two-dimensional nematics in which a degenerate…

软凝聚态物质 · 物理学 2016-08-24 Gaetano Napoli , Luigi Vergori

We exploit the variational and Hamiltonian structures of quantum hydrodynamics with spin to unfold the correlation and torque mechanisms accompanying spin-orbit coupling (SOC) in electronic motion. Using Hamilton's action principle for the…

量子物理 · 物理学 2026-01-23 Cesare Tronci

The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain plasma configurations, and inviscid turbulence. This system is…

混沌动力学 · 物理学 2013-05-29 Spencer A. Smith , Bruce M. Boghosian

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics of superfluids has dominated the study of these systems for decades now, but a comprehensive theoretical framework…

量子气体 · 物理学 2011-08-19 Aurel Bulgac , Yuan-Lung , Luo , Piotr Magierski , Kenneth J. Roche , Yongle Yu

An existence theory is established for a coupled non-linear elliptic system, known as "vortex equations", describing the fractional quantum Hall effect in 2-dimensional double-layered electron systems. Via variational methods, we prove the…

数学物理 · 物理学 2015-10-15 Luciano Medina