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There is no standard numerical implementation of the Hall effect, which is one of the non-ideal magnetohydrodynamic (MHD) effects. Numerical instability arises when a simple implementation is used, in which the Hall electric field is added…

Plasma Physics · Physics 2025-03-20 Kazunari Iwasaki , Kengo Tomida

The Hall viscosity describes a non-dissipative response to strain in systems with broken time-reversal symmetry. We develop a new method for computing the Hall viscosity of lattice systems in strong magnetic fields based on momentum…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Thomas I. Tuegel , Taylor L. Hughes

The magneto-transport properties of planar and layered strongly inhomogeneous two-phase systems are investigated, using the explicit expressions for the effective conductivities and resistivities obtained by the exact dual transformation,…

Disordered Systems and Neural Networks · Physics 2009-11-11 S. A. Bulgadaev

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

Low-frequency axial oscillations (5-50 kHz) stand out as a pervasive feature observed in many types of Hall thrusters. While it is widely recognized that the ionization effects play the central role in this mode, as manifested via the large…

Diffusion currents are theoretically examined in two-dimensional Dirac materials, such as those of the transition metal dichalcogenides (TMD) family. The transversal effects are analogues of the valley Hall (VHE) and photogalvanic (PGE)…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 A. V. Snegirev , V. M. Kovalev , M. V. Entin

An analysis has been investigated for the effects of thermal radiation and Hall current on magnetohydrodynamic free-convective flow and mass transfer over a stretching sheet with variable viscosity in the presence of heat…

Fluid Dynamics · Physics 2010-08-03 G. C. Shit , R. Haldar

It has long been realized that even a perfectly clean electronic system harbors a Landauer-Sharvin resistance, inversely proportional to the number of its conduction channels. This resistance is usually associated with voltage drops on the…

Mesoscale and Nanoscale Physics · Physics 2022-11-22 Ady Stern , Thomas Scaffidi , Oren Reuven , Chandan Kumar , John Birkbeck , Shahal Ilani

We derive an analytic expression for the geometric Hall viscosity of non-interacting electrons in a single graphene layer in the presence of a perpendicular magnetic field. We show that a recently-derived formula in [C. Hoyos and D. T. Son,…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Mohammad Sherafati , Alessandro Principi , Giovanni Vignale

We present the hydrodynamics of fluids in three spatial dimensions with helical symmetry, wherein only a linear combination of a rotation and translation is conserved in one of the three directions. The hydrodynamic degrees of freedom…

Statistical Mechanics · Physics 2022-08-29 Jack H. Farrell , Xiaoyang Huang , Andrew Lucas

We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Danyu Shu , Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

Two-dimensional (2D) electrons in high-quality nanostructures at low temperatures can form a viscous fluid. We develop a theory of high-frequency magnetotransport in such fluid. The time dispersion of viscosity should be taken into account…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 P. S. Alekseev

In this work we report on Hall effect, resistivity and thermopower measurements in n-type indium selenide at room temperature under either hydrostatic and quasi-hydrostatic pressure. Up to 40 kbar (= 4 GPa), the decrease of carrier…

Condensed Matter · Physics 2009-10-28 D. Errandonea , A. Segura , J. F. Sánchez-Royo , V. Muñoz , P. Grima , A. Chevy , C. Ulrich

This paper describes a numerical scheme for multi-fluid hydrodynamics in the limit of small mass densities of the charged particles. The inertia of the charged particles can then be neglected, which makes it possible to write an evolution…

Astrophysics · Physics 2009-11-10 S. A. E. G. Falle

We theoretically analyzed the microwave-induced modification of the Hall magnetoresistivity in high mobility two-dimensional electron systems. These systems present diagonal magnetoresistivity oscillations and zero-resistance states when…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jesus Inarrea

Hydrodynamic electron transport arises when carrier kinetics are dominated by interelectron collisions rather than the relaxation of momentum out of the electron system. In recent years, signatures of electron hydrodynamics have been…

By designing a multi-channel millimeter Hall measurement configuration, we realize the carrier-density (locally) controllable measurement on the transport property in 2H MoS$_{2}$. We observe a linearly increased Hall conductivity and…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Chen-Huan Wu , Yida Li

We characterize the electrokinetic flow due to the transport of electrolytes embedded in nanochannels of varying cross-section with inhomogeneous slip on their walls, modeled as an effective slip length on the channel wall. We show that,…

Fluid Dynamics · Physics 2025-04-10 F. Carusela , J. Harting , P. Malgaretti

A theory of the weak field Hall effect of Bloch electrons based on the analysis of the forces acting on electrons is presented. It is argued that the electric current is composed of two contributions, that driven by the electric field along…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pavel Streda , Thibaut Jonckheere

We consider parity-odd transport in 2+1 dimensional charged fluids restricting attention to the class of non-dissipative fluids. We show that there is a two parameter family of such non-dissipative fluids which can be derived from an…

High Energy Physics - Theory · Physics 2015-01-20 Felix M. Haehl , Mukund Rangamani