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We present a numerical study of nonlinear electrokinetic transport in porous media, focusing on the role of heterogeneity in a porous microstructure on ion concentration polarization and over-limiting current. For simplicity, the porous…

Fluid Dynamics · Physics 2019-01-10 Shima Alizadeh , Martin Z. Bazant , Ali Mani

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

Systems in which interparticle interactions prevail can be described by hydrodynamics. This regime is typically difficult to access in the solid state for electrons. However, the high purity of encapsulated graphene combined with its…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Johannes Geurs , Youngwook Kim , Kenji Watanabe , Takashi Taniguchi , Pilkyung Moon , Jurgen H. Smet

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

We develop a hydrodynamic description of transport properties in graphene-based systems which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 B. N. Narozhny , I. V. Gornyi , M. Titov , M. Schütt , A. D. Mirlin

In this paper we study the dynamical properties of charged systems immersed in an external magnetic field and perturbed by a set of scalar operators breaking translations either spontaneously or pseudo-spontaneously. By combining…

High Energy Physics - Theory · Physics 2021-05-19 Andrea Amoretti , Daniel Arean , Daniel K. Brattan , Nicodemo Magnoli

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The electronic states of an electrostatically confined cylindrical graphene quantum dot and the electric transport through this device are studied theoretically within the continuum Dirac-equation approximation and compared with numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-12 G. Pal , W. Apel , L. Schweitzer

We consider the problem of sliding motion of a charge-density-wave subject to static disorder within an elastic medium model. Starting with a field-theoretical formulation, which allows exact disorder averaging, we propose a self-consistent…

Disordered Systems and Neural Networks · Physics 2009-10-30 C. R. Werner , U. Eckern

In this article, we attempt to understand various aspects of turbulent flows in electron hydrodynamics. We analyze a rectangular channel geometry in the presence of an electric field and a Corbino geometry in the presence of a magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Kanad Bhattacharya

Porous graphene has high mechanical strength and atomic layer thickness, which make it a promising material for material separation and biomolecule sensing. Electrostatic interactions between charges in aqueous solution are a kind of strong…

Chemical Physics · Physics 2016-08-02 Yinghua Qiu , Kun Li , Weiyu Chen , Wei Si , Qiyan Tan , Yunfei Chen

The concept of fluidic viscosity is ubiquitous in our everyday life and for it to arise the fluidic medium must necessarily form a continuum where macroscopic properties can emerge. While a powerful concept for tangible liquids,…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Sujatha Vijayakrishnan , Z. Berkson-Korenberg , J. Mainville , L. W. Engel , M. P. Lilly , K. W. West , L. N. Pfeiffer , G. Gervais

Strongly interacting electrons can move in a neatly coordinated way, reminiscent of the movement of viscous fluids. Here we show that in viscous flows interactions facilitate transport, allowing conductance to exceed the fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

Fluid dynamics is one of the cornerstones of modern physics and has recently found applications in the transport of electrons in solids. In most solids electron transport is dominated by extrinsic factors, such as sample geometry and…

Recently, much interest has emerged in fluid-like electric charge transport in various solid-state systems. The hydrodynamic behavior of the electronic fluid reveals itself as a decrease of the electrical resistance with increasing…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Young-Gwan Choi , Manh-Ha Doan , Gyung-Min Choi , Maxim N. Chernodub

In this paper, we derive the Euler and Navier-Stokes equations for electronic two-band systems in arbitrary dimension and with generic power-law dispersion relations. We focus on the hydrodynamic transport regime, where such systems offer a…

Strongly Correlated Electrons · Physics 2025-05-28 E. Di Salvo , P. Cosme , L. Fritz

Electron-electron interactions in high-mobility conductors can give rise to transport signatures resembling those described by classical hydrodynamics. Using a nanoscale scanning magnetometer, we imaged a distinctive hydrodynamic transport…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Marius L. Palm , Chaoxin Ding , William S. Huxter , Takashi Taniguchi , Kenji Watanabe , Christian L. Degen

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

Disordered Systems and Neural Networks · Physics 2010-09-28 P. Markos

Coulomb coupling between proximal layers in graphene heterostructures results in efficient energy transfer between the layers. We predict that, in the presence of correlated density inhomogeneities in the layers, vertical energy transfer…

Mesoscale and Nanoscale Physics · Physics 2013-04-24 Justin C. W. Song , Leonid S. Levitov