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Hydrodynamic electron transport arises when carrier kinetics are dominated by interelectron collisions rather than the relaxation of momentum out of the electron system. In recent years, signatures of electron hydrodynamics have been…

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Boris N. Narozhny

The interface between a liquid and a solid is the location of plethora of intrincate mechanisms at the nanoscale, at the root of their specific emerging properties in natural processes or technological applications. However, while the…

Hydrodynamic electron transport in solids, governed by momentum-conserving electron-electron collisions, offers a unique framework to explore collective phenomena. Within this framework, correlated electron motion is modeled as viscous…

We investigate the motion of a spherical drop in a general quadratic flow acted upon by an arbitrarily oriented externally applied uniform electric field. The drop and media are considered to be leaky dielectrics. The flow field affects the…

Fluid Dynamics · Physics 2015-04-07 Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty

Hydrodynamic flow in two-dimensional electron systems has so far been probed only by dc transport and scanning gate microscopy measurements. In this work we discuss theoretically signatures of the hydrodynamic regime in near-field optical…

We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Songci Li , A. V. Andreev , Alex Levchenko

Electron transport is conventionally determined by the momentum-relaxing scattering of electrons by the host solid and its excitations. The electrical resistance is set by geometrical factors and the resistivity, which is a microscopic…

Strongly Correlated Electrons · Physics 2016-04-27 Philip J. W. Moll , Pallavi Kushwaha , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie

Transport of electrolytic solutions under influence of electric fields occurs in phenomena ranging from biology to geophysics. Here, we present a continuum model for single-phase electrohydrodynamic flow, which can be derived from…

Fluid Dynamics · Physics 2020-06-30 Gaute Linga , Asger Bolet , Joachim Mathiesen

In ultra-clean 2d materials electron viscosity is as important as Ohmic dissipation and electron transport exhibits hydrodynamic features. Using a simple framework of Brinkman equations we find that hydrodynamic electron flows exhibit a…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Jarosław Pawłowski , Piotr Surówka , Konstantin Zarembo

We present numerical analyses of 2-D electrohydrodynamic (EHD) flows of a dielectric liquid between a wire electrode and two plate electrodes with a Poiseuille flow, using direct numerical simulation and global stability analysis. Both…

Fluid Dynamics · Physics 2023-07-19 Xuerao He , Pedro A. Vázquez , Mengqi Zhang

In this short note, we present some work on investigating electron temperatures and potentials in steady or unsteady dilute plasma flows. The analysis is based on the detailed fluid model for electrons. Ionization, normalized electron…

Plasma Physics · Physics 2023-12-27 Shiying Cai , Chunpei Cai , Xin He

Electron vortices are the quintessential signature of a viscous electron fluid. For decades, their detection relied on indirect transport measurements with persistently debated interpretations. Recently, scanning magnetometry enabled direct…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Andrey A. Shevyrin , Askhat K. Bakarov , Arthur G. Pogosov

Vesicle dynamics in unbounded Poiseuille flow is analyzed using a small-deformation theory. Our analytical results quantitatively describe vesicle migration and provide new physical insights. At low ratio between the inner and outer…

Biological Physics · Physics 2015-05-13 Gerrit Danker , Petia Vlahovska , Chaouqi Misbah

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

Statistical Mechanics · Physics 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

Electron hydrodynamics typically emerges in electron fluids with a high electron-electron collision rate. However, new experiments with thin flakes of WTe$_2$ have revealed that other momentum-conserving scattering processes can replace the…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Yotam Wolf , Amit Aharon-Steinberg , Binghai Yan , Tobias Holder

Shallow water waves are a striking example of nonlinear hydrodynamics, giving rise to phenomena such as tsunamis and undular waves. These dynamics are typically studied in hundreds-of-meter-long wave flumes. Here, we demonstrate a…

We propose a protocol to identify spatial hallmarks of viscous electron flow in graphene and other two-dimensional viscous electron fluids. We predict that the profile of the magnetic field generated by hydrodynamic electron currents…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Karina A. Guerrero-Becerra , Francesco M. D. Pellegrino , Marco Polini

The world of nanoscales in fluidics is the frontier where the continuum of fluid mechanics meets the atomic, and even quantum, nature of matter. While water dynamics remains largely classical under extreme confinement, several experiments…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Baptiste Coquinot , Anna T. Bui , Damien Toquer , Angelos Michaelides , Nikita Kavokine , Stephen J. Cox , Lydéric Bocquet

We study the electron temperature profiles for an inhomogeneous electron flow in the hydrodynamic regime. We assume that the inhomogeneity is due to a weakly non-uniform distribution of the momentum relaxation time within a spherically…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Gu Zhang , Valentin Kachorovskii , Konstantin Tikhonov , Igor Gornyi