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Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

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

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

One of the main macroscopic differences between ordinary and highly viscous fluids is the lack of transverse sound in the first and possibility of its excitation in the second. In modern high-mobility conductors (Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 P. S. Alekseev , A. P. Alekseeva

We consider the evolution of contact lines for thermal convection of viscous fluids in a 2D open-top vessel. The domain is bounded above by a free moving boundary and otherwise by the solid wall of a vessel. The dynamics of the fluid are…

Analysis of PDEs · Mathematics 2025-03-11 Yunrui Zheng

Hydrodynamics is shown to induce non-Hermitian topological phenomena in ordinary, passive soft matter. This is demonstrated for the first time by subjecting a 2D elastic lattice to a low-Reynolds viscous flow. The interplay of hydrodynamics…

Soft Condensed Matter · Physics 2021-08-11 Tsvi Tlusty

Charged plasma and Fermi liquid are two distinct states of electronic matter intrinsic to dilute two-dimensional electron systems at elevated and low temperatures, respectively. Probing their thermodynamics represents challenge because of…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 A. Yu. Kuntsevich , Y. V. Tupikov , V. M. Pudalov , I. S. Burmistrov

We develop a Boltzmann-Langevin description of Coulomb drag effect in clean double-layer systems with large interlayer separation $d$ as compared to the average interelectron distance $\lambda_F$. Coulomb drag arises from density…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 W. Chen , A. V. Andreev , A. Levchenko

We describe the collective hydrodynamic motion of an incommensurate charge density wave state in a clean electronic system. Our description simultaneously incorporates the effects of both pinning due to weak disorder and also phase…

Strongly Correlated Electrons · Physics 2017-11-22 Luca V. Delacrétaz , Blaise Goutéraux , Sean A. Hartnoll , Anna Karlsson

Hydrodynamic flow occurs in an electron liquid when the mean free path for electron-electron collisions is the shortest length scale in the problem. In this regime, transport is described by the Navier-Stokes equation, which contains two…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Alessandro Principi , Giovanni Vignale , Matteo Carrega , Marco Polini

The mobility of surface electrons localized over helium films underlying solid substrates has been evaluated by solving the Boltzmann equation in the time relaxation approximation and the force balance equation in which an effective…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Debora Coimbra , Sviatoslav S. Sokolov , J. -P. Rino , Nelson Studart

Our conventional understanding of optical responses in metals has been based on the Drude theory. In recent years, however, it has become possible to prepare ultrapure metallic samples where the electron-electron scattering becomes the most…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 Riki Toshio , Kazuaki Takasan , Norio Kawakami

The shear viscosity of a variety of strongly interacting quantum fluids, ranging from ultracold atomic Fermi gases to quark-gluon plasmas, can be accurately measured. On the contrary, no experimental data exist, to the best of our…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Andrea Tomadin , Giovanni Vignale , Marco Polini

A moving contact line occurs at the intersection of an interface formed between two immiscible liquids and a solid. According to viscous theory, the flow is entirely governed by just two parameters, the viscosity ratio, $\lambda$, and the…

Fluid Dynamics · Physics 2024-01-18 Charul Gupta , Lakshmana D Chandrala , Harish N Dixit

Dynamic structuring of water is a key player in a large class of processes underlying biochemical and technological developments today, the latter often involving electric fields. However, the anisotropic coupling between the water…

Soft Condensed Matter · Physics 2019-05-29 Andreas Baer , Zoran Miličević , David M. Smith , Ana-Sunčana Smith

This thesis considers out-of-equilibrium dynamics of strongly interacting non-relativistic Fermi gases in several two and three dimensional geometries. The tools of second-order hydrodynamics and gauge-gravity duality will be utilized to…

Quantum Gases · Physics 2018-04-30 William Lewis

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

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…

Two-dimensional electron systems with fascinating properties exist in multilayers of standard semiconductors, on helium surfaces, and in oxides. Compared to the two-dimensional (2D) electron gases of semiconductors, the 2D electron systems…

Strongly Correlated Electrons · Physics 2016-06-22 J. Zabaleta , V. S. Borisov , R. Wanke , H. O. Jeschke , S. C. Parks , B. Baum , A. Teker , T. Harada , K. Syassen , T. Kopp , N. Pavlenko , R. Valentí , J. Mannhart

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