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Modern two dimensional conductors with low defect densities and strong electron-electron scattering are favorable platforms for formation of a viscous fluid of conduction electrons. Electric properties of these systems are determined by the…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 A. N. Afanasiev , P. S. Alekseev

Water, a subject of human fascination for millennia, is likely the most studied substance on Earth, with an entire scientific field -- hydrodynamics -- dedicated to understanding water in motion. However, when water flows through…

Soft Condensed Matter · Physics 2025-08-19 Maxim Trushin , Daria V. Andreeva , Francois M. Peeters , Kostya S. Novoselov

We examine nonlinear transport in a viscous two-dimensional electron fluid within narrow GaAs channels. The differential magnetoresistance shows nonmonotonic behavior, a signature of electron pairing in the hydrodynamic regime. Theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 A. D. Levin , G. M. Gusev , A. K. Bakarov

We develop an analytical theoretical model for non-linear hydrodynamic magnetotransport of two-dimensional (2D) electron fluid with strong pair correlations in the electron dynamics. Within classical kinetics of 2D electrons, such…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 P. S. Alekseev , M. A. Semina

We propose a two-dimensional flow model of a viscous fluid between two close moving surfaces. We show that its asymptotic behavior, when the distance between the two surfaces tends to zero, is the same as that of the the Navier-Stokes…

Analysis of PDEs · Mathematics 2022-06-09 José M. Rodríguez , Raquel Taboada-Vázquez

We discuss general 2-fluid hydrodynamic equations for complex fluids, where one kind is a simple Newtonian fluid, while the other is either liquid-crystalline or polymeric/elastomeric, thus being applicable to lyotropic liquid crystals,…

Soft Condensed Matter · Physics 2009-11-10 H. Pleiner , J. L. Harden

Continuum simulation is employed to study ion transport and fluid flow through a nanopore in a solid-state membrane under an applied potential drop. Results show the existence of concentration polarization layers on the surfaces of the…

Fluid Dynamics · Physics 2015-06-16 Mao Mao , Sandip Ghosal , Guohui Hu

In nanostructures with two-dimensional (2D) electrons and very low defect densities, a hydrodynamic transport regime has recently been realized. In this regime, 2D electrons form a viscous fluid due to frequent electron-electron collisions.…

Mesoscale and Nanoscale Physics · Physics 2026-03-04 Yu. O. Alekseev , P. S. Alekseev , A. P. Dmitriev

The use of ultra-thin, i.e., monolayer films plays an important role for the emerging field of nano-fluidics. Since the dynamics of such films is governed by the interplay between substrate-fluid and fluid-fluid interactions, the transport…

Other Condensed Matter · Physics 2009-11-11 M. N. Popescu , S. Dietrich , G. Oshanin

When fluid is confined between two molecularly smooth surfaces to a few molecular diameters, it shows a large enhancement of its viscosity. From experiments it seems clear that the fluid is squeezed out layer by layer. A simple solution of…

Soft Condensed Matter · Physics 2011-11-02 Saroj Kumar Nandi

Equilibrium molecular dynamics simulations are used to investigate the effect of phase transitions on the transport properties of highly-confined water between parallel graphene sheets. An abrupt reduction by several orders of magnitude in…

Computational Physics · Physics 2019-01-23 Frederike Jaeger , Omar K. Matar , Erich A. Müller

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

Turbulent flows above a solid surface are characterised by a hydrodynamic roughness that represents, for the far velocity field, the typical length scale at which momentum mixing occurs close to the surface. Here, we are theoretically…

Fluid Dynamics · Physics 2023-11-07 Pan Jia , Bruno Andreotti , Philippe Claudin

We investigate through non-equilibrium Molecular Dynamics simulations the structure and flow of fluids in functionalized nanopores. The nanopores are modeled as cylindrical structures with solvophilic and solvophobic sites. Two fluids are…

Soft Condensed Matter · Physics 2016-05-17 José Rafael Bordin , Marcia C. Barbosa

We study compressible fluid flow in narrow two-dimensional channels using a novel molecular dynamics simulation method. In the simulation area, an upstream source is maintained at constant density and temperature while a downstream…

Condensed Matter · Physics 2009-10-22 M. Sun , C. Ebner

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Mathematical Physics · Physics 2015-03-10 Nikolay Kuznetsov

Specific molecular interactions underlie unexpected and useful phenomena in nanofluidic systems, but require descriptions that go beyond traditional macroscopic hydrodynamics. In this letter, we demonstrate how equilibrium molecular…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Phillip Helms , Anthony R. Poggioli , David T. Limmer

In a companion study \cite{patterson2020computing2D}, we present a numerical method for simulating 2D viscous flow through an open compliant closed channel, drive by pressure gradient. We consider the highly viscous regime, where fluid…

Fluid Dynamics · Physics 2021-12-28 Sarah E Patterson , Anita T Layton

A Stokes experiment for foams is proposed. It consists in a two-dimensional flow of a foam, confined between a water subphase and a top plate, around a fixed circular obstacle. We present systematic measurements of the drag exerted by the…

The hydrodynamic behavior of electron fluids in a certain range of temperatures and densities is well established in graphene and in 2D semiconductor heterostructures. The hydrodynamic regime is intrinsically based on electron-electron…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Jack N. Engdahl , Aydin Cem Keser , Oleg P. Sushkov
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