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In electrochemical systems, an understanding of the underlying transport processes is required to aid in their better design. This includes knowledge of possible near-electrode convective mixing that can enhance measured currents. Here, for…

Fluid Dynamics · Physics 2021-09-15 Nakul Pande , Jeffery A. Wood , Guido Mul , Detlef Lohse , Bastian T. Mei , Dominik Krug

Recent experimental results suggest that a particular hydrodynamic theory describes charge fluctuations at long wavelengths in the square-lattice Hubbard model. Due to the continuity equation, the correlation functions for the charge and…

Strongly Correlated Electrons · Physics 2025-02-05 J. Vucicevic , S. Predin , M. Ferrero

A square lattice of mesoscopic resistors is considered. Each bond is modeled as a narrow waveguide, while junctions are sources of elastic scattering given by a scattering matrix \mathbf{S}. Symmetry and unitarity constraints are used in a…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Oliwier Urbański

We develop a hydrodynamic description of electron magnetotransport in conductors without Galilean invariance in the presence of a weak long-range disorder potential. We show that magnetoresistance becomes strong (of order 100 %) at…

Mesoscale and Nanoscale Physics · Physics 2024-02-05 Alex Levchenko , Songci Li , A. V. Andreev

Hydrodynamic electron transport, namely, the electric behaviors in solid materials at the macroscopic level are similar to the fluid hydrodynamics when the momentum-conserving electron-electron scattering plays the leading role, has got…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Chuang Zhang , Meng Lian , Hong Liang , Xiaokang Li , Zhaoli Guo , JingTao Lü

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

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

We show that the Fractional Quantum Hall Effect can be phenomenologically described as a special flow of a quantum incompressible Euler liquid. This flow consists of a large number of vortices of the same chirality. In this approach each…

Strongly Correlated Electrons · Physics 2015-06-17 P. B. Wiegmann

We report complex impedance measurements in an untwinned YBaCuO crystal. Our broad frequency range covers both the quasi static response and the resistive response of the vortex lattice. It allow us to characterize the irreversibility line…

Superconductivity · Physics 2009-11-10 A. Pautrat , A. Daignere , C. Goupil , Ch. Simon , B. Andrzejewski , A. I. Rykov , S. Tajima

The electron-electron scattering increases the resistance of ballistic many-mode channels whose width is smaller than their length. We show that this increase saturates in the limit of infinitely long channels. Because the mechanisms of…

Mesoscale and Nanoscale Physics · Physics 2018-04-12 K. E. Nagaev

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

We present for the first time an experimental investigation of electrohydrodynamic (EHD) flows within a neutrally buoyant drop with initial radius of 2.25 mm. Utilizing particle image velocimetry (PIV) and high-speed shadowgraphy, we…

Fluid Dynamics · Physics 2025-02-19 Joel R. Karp , Bertrand Lecordier , Mostafa S. Shadloo

Inspired by the recent experimental signatures of relativistic hydrodynamics in graphene, we investigate theoretically the behavior of hydrodynamic sound modes in such quasi-relativistic fluids near charge neutrality, within linear…

Strongly Correlated Electrons · Physics 2016-07-06 Andrew Lucas

Using an analytically tractable kinetic model of a two dimensional Fermi liquid of electrons, we characterize the crossovers between zero sound, first sound and plasmons. For experimentally realized Fermi liquids in a hydrodynamic limit,…

Strongly Correlated Electrons · Physics 2018-04-04 Andrew Lucas , Sankar Das Sarma

A hydrodynamic theory of transport in quantum mechanically phase-disordered superconductors is possible when supercurrent relaxation can be treated as a slow process. We obtain general results for the frequency-dependent conductivity of…

Superconductivity · Physics 2017-08-03 Richard A. Davison , Luca V. Delacrétaz , Blaise Goutéraux , Sean A. Hartnoll

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

A comprehensive theory of electron spin resonance (ESR) for a Luttinger liquid (LL) state of correlated metals is presented. The ESR measurables such as the signal intensity and the line-width are calculated in the framework of Luttinger…

Strongly Correlated Electrons · Physics 2009-11-13 B. Dóra , M. Gulácsi , J. Koltai , V. Zólyomi , J. Kürti , F. Simon

We examine 2D electron transport through a long narrow channel driven by an external electric field in presence of diffusive boundary scattering. At zero temperature, we derive an analytical solution of the transition from ballistic to…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Philipp Heilmann , Pavlo V. Pyshkin , Björn Trauzettel

We use the framework of generalised global symmetries to study various hydrodynamic regimes of hot electromagnetism. We formulate the hydrodynamic theories with an unbroken or a spontaneously broken U(1) one-form symmetry. The latter of…

High Energy Physics - Theory · Physics 2020-01-17 Jay Armas , Akash Jain

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov
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