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Electron transport in clean 2D systems with weak electron-phonon (e-ph) coupling can transition from an Ohmic to a ballistic or a hydrodynamic regime. The ballistic regime occurs when electron-electron (e-e) scattering is weak whereas the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mani Chandra , Gitansh Kataria , Deshdeep Sahdev , Ravishankar Sundaraman

We propose a hydrodynamic model to study the thermotransport properties of semiconductor electrons. From the semiclassical Boltzmann equation a set of balance equations is built for the relevant fields. The electron density, the electron…

Statistical Mechanics · Physics 2009-07-13 A. Rangel-Huerta , M. A. Rodriguez-Meza

We investigate the hydrodynamic regime in metals with momentum-conserving electron-electron scattering. The conservation of momentum results in well-defined dynamics whose effects we investigate via the relevant continuity equations. We…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Nisarg Chadha , Subroto Mukerjee

In highly conductive metals with sufficiently strong momentum-conserving scattering, the electron momentum is regarded as a long-lived quantity, whose dynamics is described by an emergent hydrodynamic theory. In this paper, we develop an…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Riki Toshio , Kazuaki Takasan , Norio Kawakami

Hydrodynamic electron flow is experimentally observed in the differential resistance of electrostatically defined wires in the two-dimensional electron gas in (Al,Ga)As heterostructures. In these experiments current heating is used to…

Condensed Matter · Physics 2009-10-22 M. J. M. de Jong , L. W. Molenkamp

The emergence of hydrodynamic behavior in electronic flow within clean, particle-hole-symmetric systems at half-filling is a non-trivial problem. Navier-Stokes (NS) equations describe the momentum flow, while experimental measurements…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrien Reingruber , Kitinan Pongsangangan , Fakher Assaad , Maksim Ulybyshev

We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of…

Strongly Correlated Electrons · Physics 2024-05-24 Aaron Hui , Calvin Pozderac , Brian Skinner

Electrons behave like a classical fluid with a momentum distribution function that varies slowly in space and time when the quantum mechanical carrier-carrier scattering dominates over all other scattering processes. Recent experiments in…

Mesoscale and Nanoscale Physics · Physics 2018-05-07 Derek Y. H. Ho , Indra Yudhistira , Nilotpal Chakraborty , Shaffique Adam

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

Improvement of numerical methods for calculating charge transport quantities of materials from the Boltzmann transport equation (BTE) is important for prediction of material properties. In particular, techniques which allow for more…

Materials Science · Physics 2025-08-25 H. A. McDonough , Nicholas A. Mecholsky

In this article we derive and test the fluctuating hydrodynamic description of active particles interacting via taxis and quorum sensing, both for mono-disperse systems and for mixtures of co-existing species of active particles. We compute…

Statistical Mechanics · Physics 2025-01-14 Alberto Dinelli , Jérémy O'Byrne , Julien Tailleur

Hydrodynamic electron transport in solids, governed by momentum-conserving electron-electron collisions, offers a unique framework to explore collective phenomena. Within this framework, correlated electron motion is modeled as viscous…

The stochastic dynamics of tracers arising from hydrodynamic fluctuations in a driven electrolyte is studied using a self-consistent field-theory framework in all dimensions. A plethora of scaling behaviour that includes two distinct…

Soft Condensed Matter · Physics 2026-02-12 Ramin Golestanian

So far transport properties of nanoscale contacts have been mostly studied within the static scattering approach. The electron dynamics and the transient behavior of current flow, however, remain poorly understood. We present a numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Na Sai , Neil Bushong , Ryan Hatcher , Massimiliano Di Ventra

In the presence of interactions, electrons in condensed-matter systems can behave hydrodynamically, exhibiting phenomena associated with classical fluids, such as vortices and Poiseuille flow. In most conductors, electron-electron…

Interactions of charge carriers with lattice vibrations, or phonons, play a critical role in unconventional electronic transport of metals and semimetals. Recent observations of phonon-mediated collective electron flow in bulk semimetals,…

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

Electrochemical energy systems rely on particulate porous electrodes to store or convert energies. While the three-dimensional porous structures were introduced to maximize the interfacial area for better overall performance of the system,…

Applied Physics · Physics 2021-02-16 Shubham Agrawal , Peng Bai

Detecting hydrodynamic fingerprints in the flow of electrons in solids constitutes a dynamic field of investigation in contemporary condensed matter physics. Most attention has been focused on the regime near the degeneracy temperature when…

Strongly Correlated Electrons · Physics 2021-01-11 Alexandre Jaoui , Benoît Fauqué , Kamran Behnia

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