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We obtain a rigorous upper bound on the resistivity $\rho$ of an electron fluid whose electronic mean free path is short compared to the scale of spatial inhomogeneities. When such a hydrodynamic electron fluid supports a non-thermal…

Strongly Correlated Electrons · Physics 2018-04-24 Andrew Lucas , Sean A. Hartnoll

The flow of charge carriers in materials can, under some circumstances, mimic the flow of viscous fluids. In order to visualize the consequences of such effects, new methodologies must be developed that can probe the quasiparticle flow…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Zachary J. Krebs , Wyatt A. Behn , Songci Li , Keenan J. Smith , Kenji Watanabe , Takashi Taniguchi , Alex Levchenko , Victor W. Brar

A reliable model of viscosity in liquids using a dual liquid model framework is developed. The analytical expression arrived at exhibits the correct T-dependence Arrhenius-like. It is compared with the values of viscosity for water with…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Fabio Peluso

In this article we discuss flows in shallow, stratified horizontal layers of two immiscible fluids. The top layer is an electrolyte which is electromagnetically driven and the bottom layer is a dielectric fluid. Using a…

The recent demonstrations of viscous hydrodynamic electron flow in two-dimensional electron systems poses serious questions to the validity of existing transport theories, including the ballistic model, the collision-induced and…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Kirill Kapralov , Dmitry Svintsov

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean- and Lorentz invariance, and contain a variety of nonlinear terms due…

Mesoscale and Nanoscale Physics · Physics 2014-09-01 D. Svintsov , V. Vyurkov , V. Ryzhii , T. Otsuji

Hydrodynamic flow of charge carriers in graphene is an energy flow unlike the usual mass flow in conventional fluids. In neutral graphene, the energy flow is decoupled from the electric current, making it difficult to observe the…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 B. N. Narozhny , I. V. Gornyi , M. Titov

We derive a hydrodynamic model for a liquid of arbitrarily curved flux-lines and vortex loops using the mapping of the vortex liquid onto a liquid of relativistic charged quantum bosons in 2+1 dimensions recently suggested by Tesanovic and…

Superconductivity · Physics 2007-05-23 P. Benetatos , M. C. Marchetti

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and…

Materials Science · Physics 2023-07-06 Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

In very clean solid-state systems, where carrier-carrier interactions dominate over any other scattering mechanisms, the flow of electrons can be described within a hydrodynamic framework. In these cases, analogues of viscous fluid…

Molecular adsorption on surfaces plays a central role in catalysis, corrosion, desalination, and many other processes of relevance to industry and the natural world. Few adsorption systems are more ubiquitous or of more widespread…

The ratio between the shear viscosity and the entropy $\eta/s$ is considered a universal measure of the strength of interactions in quantum systems. This quantity was conjectured to have a universal lower bound $(1/4\pi)\hbar/k_{B}$, which…

Strongly Correlated Electrons · Physics 2021-07-07 Sang Wook Kim , Geo Jose , Bruno Uchoa

Commensurability oscillations in the magnetotransport of periodically patterned systems, emerging from the interplay of cyclotron orbit and the pattern periodicity, are a benchmark of mesoscopic physics in electron gas systems. Exploiting…

Mesoscale and Nanoscale Physics · Physics 2017-08-30 Stephen R. Power , Morten Rishøj Thomsen , Antti-Pekka Jauho , Thomas Garm Pedersen

Elastic deformations of graphene can significantly change the flow paths and valley polarization of the electric currents. We investigate these phenomena in graphene nanoribbons with localized out-of-plane deformations by means of…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Thomas Stegmann , Nikodem Szpak

Gradients of voltage, pressure, temperature, and salinity can transport objects in micro- and nanofluidic systems by well known mechanisms. Here we report the discovery of a transport effect driven by viscosity gradients, which cause an…

Fluid Dynamics · Physics 2018-11-20 Benjamin Wiener , Derek Stein

Recent experiments have revealed that novel nonequilibrium states consistent with the hydrodynamic description of electrons are realized in ultrapure graphene, which hosts the valley degrees of freedom. Here, we formulate a theory of…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Ryotaro Sano , Daigo Oue , Mamoru Matsuo

Plasmons in two-dimensional electron systems with nonparabolic bands, such as graphene, feature strong dependence on electron-electron interactions. We use a many-body approach to relate plasmon dispersion at long wavelengths to Landau…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 L. S. Levitov , A. V. Shtyk , M. V. Feigelman

We demonstrate the possibility of a turbulent flow of electrons in graphene in the hydrodynamic region, by calculating the corresponding turbulent probability density function. This is used to calculate the contribution of the turbulent…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 Kumar S. Gupta , Siddhartha Sen

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where the equilibration length of the electron liquid is shorter than the interlayer spacing the main contribution to the…

Strongly Correlated Electrons · Physics 2015-06-18 S. S. Apostolov , A. Levchenko , A. V. Andreev