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Electron-electron collisions are known to cause a nonlocal voltage drop in a presence of current flow. The semi-phenomenological theory predicts this drop to be opposite to the direction of the current in the ballistic regime. We use a…

Mesoscale and Nanoscale Physics · Physics 2020-08-03 K. E. Nagaev

Electrical circuits offer a unique platform to explore physical phenomena, from topology to non-Hermitian effects. Investigations of the fundamental properties of this metamaterial platform are crucial to distinguish observed/measured…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Haydar Sahin

We investigate the impact of geometric constriction on the viscous flow of electron liquid through quantum point contacts. We provide analysis on the electric potential distribution given the setup of a slit configuration and use the method…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Songci Li , Maxim Khodas , Alex Levchenko

We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 I. V. Gornyi , D. G. Polyakov

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 U. Briskot , M. Schütt , I. V. Gornyi , M. Titov , B. N. Narozhny , A. D. Mirlin

An isolated charge-neutral drop suspended in an unbounded medium does not migrate in a uniform DC electric field. A nearby wall breaks the symmetry and causes the drop to drift towards or away from the boundary, depending on the electric…

Fluid Dynamics · Physics 2025-04-25 Diptendu Sen , Mohammadhossein Firouznia , David Saintillan , Petia M. Vlahovska

We have carried out calculations of electron transport through a metal-molecule-metal junction with metal nanoclusters taking the part of electrodes. We show that negative differential resistance peaks could appear in the current-voltage…

Materials Science · Physics 2008-10-22 Natalya A. Zimbovskaya , Mark R. Pederson

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

We study the hydrodynamic transport of electrons in a Weyl semimetal in a strong magnetic field. Impurity scattering in a Weyl semimetal with two Weyl nodes is strongly anisotropic as a function of the direction of the field and is…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Siyu Zhu , Grigory Bednik , Sergey Syzranov

In conductors with a very small density of defects, electrons at low temperatures collide predominantly with the edges of a sample. Therefore, the ballistic regime of charge and heat transport is realized. The application of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

When the electron density of highly crystalline thin films is tuned by chemical doping or ionic liq- uid gating, interesting effects appear including unconventional superconductivity, sizeable spin-orbit coupling, competition with…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 G. Dezi , N. Scopigno , S. Caprara , M. Grilli

Motivated by experiments on a hydrodynamic regime in electron transport, we study the effect of an oscillating electric field in such a setting. We consider a long two-dimensional channel of width $L$, whose geometrical simplicity allows an…

Strongly Correlated Electrons · Physics 2018-05-02 Roderich Moessner , Piotr Surówka , Piotr Witkowski

We present a theory of the interfacial stability of two immiscible electrolytes under the coupled action of pressure gradients and electric fields in a Hele-Shaw cell or porous medium. Mathematically, our theory describes a phenomenon of…

Fluid Dynamics · Physics 2017-11-01 Mohammad Mirzadeh , Martin Z. Bazant

The process of interaction between nonlinear waves on a free surface of a nonconducting fluid in a strong tangential electric field is simulated numerically (effects of the force of gravity and capillarity are neglected). It is shown that…

Fluid Dynamics · Physics 2019-01-29 Evgeny A. Kochurin

We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

Thanks to electron-electron ($e$-$e$) collisions conserving momentum, metallic electron fluids are viscous. Yet, this viscosity is rarely detectable in bulk transport. Here, we report on the canonical realization of the Gurzhi effect in an…

Strongly Correlated Electrons · Physics 2026-04-22 Xiaodong Guo , Xiaokang Li , Benoît Fauqué , Alaska Subedi , Lingxiao Zhao , Zengwei Zhu , Kamran Behnia

We consider the problem of Coulomb drag resistance in bilayers of electron liquids with spontaneously broken time-reversal symmetry. In the hydrodynamic regime, the viscosity tensor of such fluids has a nonvanishing odd component. In this…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Dmitry Zverevich , Dmitri B. Gutman , Alex Levchenko

While several articles have been written on Electrohydrodynamics (EHD) flows or flows with constant vorticity separately, little is known about the extent to which the combined effects of EHD and constant vorticity affect the flow. This…

Fluid Dynamics · Physics 2024-01-24 M. V. Flamarion , E. Kochurin , R. Ribeiro-Jr , N. Zubarev

A hydrodynamical description for vortex states in type II superconductors with no pinning is presented based on the time-dependent GL equation, and the nonlocal conductivities are examined in terms of Kubo formula. Typically, the nonlocal…

Condensed Matter · Physics 2016-08-31 Ryusuke Ikeda

A resistor at finite temperature produces white noise fluctuations of the current called Johnson-Nyquist noise. Measuring the amplitude of this noise provides a powerful primary thermometry technique to access the electron temperature. In…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Aaron Hui , Brian Skinner