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200 papers

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological…

Fluid Dynamics · Physics 2017-06-20 Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

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

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart…

Fluid Dynamics · Physics 2025-07-18 Luiz P. Palacio , Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

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…

Chaotic Dynamics · Physics 2012-01-16 Itzhak Fouxon

We study a simple magnetohydrodynamical approach in which hydrodynamics and MHD turbulence are coupled in a shell model, with given dynamo constrains in the large scales. We consider the case of a low Prandtl number fluid for which the…

Earth and Planetary Astrophysics · Physics 2015-05-13 Roberto Benzi , Jean-Francois Pinton

We consider changes of the topological charge of vortices in quantum mechanics by investigating analytical examples where the creation or annihilation of vortices occurs. In classical hydrodynamics of non-viscous fluids the Helmholtz-Kelvin…

Quantum Physics · Physics 2009-11-07 Bogdan Damski , Krzysztof Sacha

The dynamics of particles with intrinsic angular momentum (spin) described by the Dirac equation is considered in a homogeneous space with rotation in the presence of a homogeneous vortex gravitational field. The effects of the interaction…

General Relativity and Quantum Cosmology · Physics 2024-02-20 V. G. Krechet , V. B. Oshurko , A. E. Kisser

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

Soft Condensed Matter · Physics 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

Hydrodynamic reformulations of the Schr\"odinger equation suggest an interpretation of quantum mechanics in terms of a fluid flowing on configuration space. In the discrete hydrodynamic view, this fluid is not fundamental but emerges from…

Quantum Physics · Physics 2026-02-25 Aric Hackebill , Bill Poirier

In this paper we explicate a method of magneto quantum hydrodynamics (MQHD) for the study of the quantum evolution of a system of spinning fermions in an external electromagnetic field. The fundamental equations of microscopic quantum…

Plasma Physics · Physics 2014-02-20 Mariya Ivanovna Trukhanova

We analyze time series stemming from experiments and direct numerical simulations of hydrodynamic and magnetohydrodynamic turbulence. Simulations are done in periodic boxes, but with a volumetric forcing chosen to mimic the geometry of the…

Dynamical issues associated with quantum fields in Rindler space are addressed in a study of the interaction between two sources at rest generated by the exchange of scalar particles, photons and gravitons. These static interaction energies…

High Energy Physics - Theory · Physics 2011-05-10 F. Lenz , K. Ohta , K. Yazaki

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

Statistical Mechanics · Physics 2019-02-13 Tom Banks , Andrew Lucas

Lorentz transformation of the reduced helicity density matrix for a massive spin 1/2 particle is investigated in the framework of relativistic quantum information theory for the first time. The corresponding helicity entropy is calculated,…

Quantum Physics · Physics 2008-11-26 Song He , Shuxin Shao , Hongbao Zhang

In this paper we propose a comprehensive framework for the quantum hydrodynamics of the Fractional Quantum Hall (FQH) states. We suggest that the electronic fluid in the FQH regime could be phenomenologically described by the quantized…

Strongly Correlated Electrons · Physics 2015-06-16 P. Wiegmann

In this paper, we develop a quantum hydrodynamics (QHD) method for the research of the quantum evolution of a system of spinning particles. We derived the fundamental equation for charged and neutral spinning particles - the energy…

Plasma Physics · Physics 2015-08-14 Mariya Iv. Trukhanova

Quantum mechanical equations of motion are strictly linear in state descriptors, such as wavefunctions and density matrices, but equations describing chemical kinetics and hydrodynamics may be non-linear in concentrations. This…

Chemical Physics · Physics 2025-05-06 Anupama Acharya , Madhukar Said , Sylwia J. Barker , Marcel Utz , Bruno Linclau , Ilya Kuprov

The hydrodynamic force experienced by a small spherical particle undergoing an arbitrary time-dependent motion in a density-stratified fluid is investigated theoretically. The study is carried out under the Oberbeck-Boussinesq…

Fluid Dynamics · Physics 2015-06-16 Fabien Candelier , Rabah Mehaddi , Olivier Vauquelin

Considering a gas of self-propelled particles with binary interactions, we derive the hydrodynamic equations governing the density and velocity fields from the microscopic dynamics, in the framework of the associated Boltzmann equation.…

Statistical Mechanics · Physics 2009-10-09 Eric Bertin , Michel Droz , Guillaume Grégoire