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Recent images of electron flow through a two-dimensional electron gas (2DEG) device show branching behavior that is reproduced in numerical simulations of motion in a correlated random potential [cond-mat/0010348]. We show how such…

Chaotic Dynamics · Physics 2009-08-14 Lev Kaplan

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of…

Strongly Correlated Electrons · Physics 2024-05-24 Aaron Hui , Calvin Pozderac , Brian Skinner

The application of oscillatory flow around an obstacle drives a steady ``streaming'' due to inertial rectification, which has been used in a host of microfluidic applications. While theory has focused largely on two-dimensional (2D) flows,…

Fluid Dynamics · Physics 2023-05-10 Xirui Zhang , Bhargav Rallabandi

Electronic fluids bring into hydrodynamics a new setting: equipotential flow sources embedded inside the fluid. Here we show that nonlocal relation between current and electric field due to momentum-conserving inter-particle collisions…

Mesoscale and Nanoscale Physics · Physics 2019-07-12 Michal Shavit , Andrey Shytov , Gregory Falkovich

We investigate the vector and axial currents induced by external electromagnetic fields and chemical potentials in chiral systems at finite temperature. Similar to the normal Hall effect, we find that an axial Hall current is generated in…

High Energy Physics - Theory · Physics 2015-06-22 Shi Pu , Shang-Yu Wu , Di-Lun Yang

In this paper we have continued the calculations made recently concerning he generalization of the minimal coupling prescription. We have obtained the Navier-Stokes equation for the charged fluid embedded into an electromagnetic field. We…

We study the dynamics of two air bubbles driven by the motion of a suspending viscous fluid in a Hele-Shaw channel with a small elevation along its centreline via physical experiment and numerical simulation of a depth-averaged model. For a…

Fluid Dynamics · Physics 2022-08-24 J. S. Keeler , A. Gaillard , J. Lawless , A. B. Thompson , A. Juel , A. Hazel

Liquid foam flows in a Hele-Shaw cell were investigated. The plug flow obtained for a monodisperse foam is strongly perturbed in the presence of bubbles whose size is larger than the average bubble size by an order of magnitude at least.…

Soft Condensed Matter · Physics 2007-05-23 Isabelle Cantat , Celine Poloni , Renaud Delannay

Exact solutions are reported for a stream of asymmetric bubbles steadily moving in a Hele-Shaw channel. From the periodicity along the streamwise direction, the flow region is reduced to a rectangular unit cell containing one bubble, which…

Fluid Dynamics · Physics 2014-03-04 Antônio Márcio P. Silva , Giovani L. Vasconcelos

We investigate the dynamics of spin-nonequilibrium electron systems for the case when normal electron collisions prevail over the other scattering processes and the "hydrodynamic flow" regime is realized. The hydrodynamic equations for the…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , P. V. Pyshkin , A. V. Yanovsky

We study the behaviour of a thin fluid filament (a rivulet) flowing in an air-filled Hele-Shaw cell. Transverse and longitudinal deformations can propagate on this rivulet, although both are linearly attenuated in the parameter range we…

Fluid Dynamics · Physics 2026-02-02 Grégoire Le Lay , Adrian Daerr

We fill a viscous liquid in a vertically stood cell of millimeter thickness, called the Hele-Shaw cell, and insert a disk in the liquid whose thickness is smaller than the cell thickness. The disk starts falling in the liquid due to gravity…

Soft Condensed Matter · Physics 2023-10-19 Nana Tanaka , Ko Okumura

Applying an electric field to an aqueous colloidal dispersion establishes a complex interplay of forces among the highly mobile simple ions, the more highly charged but less mobile colloidal spheres, and the surrounding water. This…

Soft Condensed Matter · Physics 2007-05-23 Yilong Han , David G. Grier

This paper explains the phenomenon of current circulation and the resulting electromagnetic torque generation in electric machines employing delta windings. The description entails a systematic assessment of the electrical and magnetic…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Prerit Pramod

The charge and potential distributions for insulating particles approaching a substrate with regular insulating structures are studied by particle-in-cell numerical simulations. An elongated particle and substrate with elongated structures…

Plasma Physics · Physics 2016-11-15 W J Miloch , S V Vladimirov

We demonstrate experimentally the existence of a purely elastic fingering instability which arises when air penetrates into an elastomer confined in a Hele-Shaw cell. Fingers appear sequentially and propagate within the bulk of the material…

Soft Condensed Matter · Physics 2016-01-19 Baudouin Saintyves , Olivier Dauchot , Elisabeth Bouchaud

We consider a model of congestion dynamics with chemotaxis, where the density of cells follows the chemical signal it generates, while observing an incompressibility constraint. We show that when the chemical diffuses slowly and attracts…

Analysis of PDEs · Mathematics 2022-04-27 Inwon Kim , Antoine Mellet , Yijing Wu

Crumpled paper or drapery patterns are everyday examples of how elastic sheets can respond to external forcing. In this Letter, we study experimentally a novel sort of forcing. We consider a circular flexible plate clamped at its center and…

Soft Condensed Matter · Physics 2013-08-26 Lionel Schouveiler , Christophe Eloy

Living cells and tissues can generate complex patterns of electric fields and fluid flows which can play important role in physiology. Both, fields and flows are rooted in ion transport across biological interfaces: cell membranes and…

Soft Condensed Matter · Physics 2026-05-22 Amit Singh Vishen , Ahandeep Manna , Frank Jülicher
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