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Starting from the non-relativistic Pauli description of spin-1/2 particles, a set of fluid equations, governing the dynamics of such particles interacting with external fields and other particles, is derived. The equations describe…

Plasma Physics · Physics 2008-11-26 G. Brodin , M. Marklund

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

We study transport properties of a two-dimensional electron gas, placed in a classically strong perpendicular magnetic field and in constant and oscillating in-plane electric fields. The analysis is based on a quantum Boltzmann equation…

Mesoscale and Nanoscale Physics · Physics 2009-01-09 M. Khodas , M. G. Vavilov

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

A formulation for transport in an inhomogeneous, interacting electron gas is described. Electronic current is induced by a constraint condition imposed as a vector Lagrange multiplier. Constrained minimization of the total energy functional…

Condensed Matter · Physics 2009-11-07 D. S. Kosov , J. C. Greer

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

We study the relaxation of a spin density injected into a two-dimensional electron system with generic spin-orbit interactions. Our model includes the Rashba as well as linear and cubic Dresselhaus terms. We explicitly derive a general…

Materials Science · Physics 2013-05-29 Tudor D. Stanescu , Victor Galitski

We develop the microscopic theory of the extrinsic spin Hall conductivity of a two-dimensional electron gas, including skew-scattering, side-jump, and Coulomb interaction effects. We find that while the spin-Hall conductivity connected with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Giovanni Vignale

Controlling the spin dynamics and spin lifetimes is one of the main challenges in spintronics. To this end, the study of the spin diffusion in two-dimensional electron gases (2DEGs) shows that when the Rashba and Dresselhaus spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 I. R. de Assis , R. Raimondi , G. J. Ferreira

Theoretical calculations predict the dissipationless circulating current induced by a spin defect in a two-dimensional electron gas with spin-orbit coupling. The shape and spatial extent of these dissipationless circulating currents depend…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Adonai R. da Cruz , Michael E. Flatté

It is shown that the electron spin may not be conserved after a spin-independent scattering. This fact strongly limits the validity of the classical model of spin-up/spin-down bands, which has been used for description of magnetic…

Materials Science · Physics 2013-04-09 Vadym Zayets

We calculate the mobility of a two-dimensional electron gas residing at the interface of LaAlO$_{3}$/SrTiO$_{3}$ following a three band Boltzmann approach at low temperature, where carrier-charged impurity scattering process is assumed to…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 A. Faridi , R. Asgari , A. Langari

Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1/2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation…

Quantum Physics · Physics 2009-03-15 Cord A. Mueller

The transport property of a lateral two-dimensional diluted magnetic semiconductor electron gas under a spatially periodic magnetic field is investigated theoretically. We find that the electron Fermi velocity along the modulation direction…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Yang , Kai Chang , X. G. Wu , H. Z. Zheng

We discuss the theory of spin waves in non-degenerate ultra-cold gases, and compare various methods which can be used to obtain appropriate kinetic equations. We then study non-hydrodynamic situations, where the amplitude of spin waves is…

Statistical Mechanics · Physics 2009-11-10 J. N. Fuchs , D. M. Gangardt , F. Laloe

The transport of energetic particles in a spatially varying magnetic field is described by the focused transport equation. In the past two versions of this equation were investigated. The more commonly used standard form described a…

Solar and Stellar Astrophysics · Physics 2025-09-11 B. Klippenstein , A. Shalchi

The phenomenon of low-temperature spin Coulomb drag in a two-dimensional electron gas is investigated. The spin transresistivity coefficient is essentially enhanced in the diffusive regime, as compared to conventional predictions. The…

Strongly Correlated Electrons · Physics 2016-02-12 A. G. Yashenkin , I. V. Gornyi

This article discusses spin transport in systems with spin-orbit interactions and how it can be understood in a semiclassical picture. I will first present a semiclassical wave-packet description of spin transport, which explains how the…

Mesoscale and Nanoscale Physics · Physics 2009-04-15 Dimitrie Culcer

We study the spin dynamics in a high-mobility two dimensional electron gas (2DEG) with generic spin-orbit interactions (SOIs). We derive a set of spin dynamic equations which capture the purely exponential to the damped oscillatory spin…

Materials Science · Physics 2015-05-27 Xin Liu , Xiong-Jun Liu , Jairo Sinova

We study the coupled dynamics of spin and charge currents in a two-dimensional electron gas in the transport diffusive regime. For systems with inversion symmetry there are established relations between the spin Hall effect, the anomalous…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 P. Schwab , R. Raimondi , C. Gorini