Diffusion limit of a generalized matrix Boltzmann equation for spin-polarized transport

DOI10.3934/krm.2011.4.1159zbMath1242.76305OpenAlexW2317246945MaRDI QIDQ429046

Claudia Negulescu, Stefan Possanner

Publication date: 25 June 2012

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2011.4.1159

zbMATH Keywords

spintronicsspin transportkinetic matrix modelsspin-charge coupling

Mathematics Subject Classification ID

Diffusion (76R50) Spinor and twistor methods applied to problems in quantum theory (81R25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P99)

Related Items (11)

Macroscopic limit of the kinetic Bloch equation ⋮ Formal derivation of quantum drift-diffusion equations with spin-orbit interaction ⋮ Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation ⋮ The Bloch-Torrey limit of a kinetic transport system ⋮ Analysis of a drift-diffusion model with velocity saturation for spin-polarized transport in semiconductors ⋮ Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system ⋮ A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors ⋮ Global weak solutions to Landau-Lifshtiz systems with spin-polarized transport ⋮ Large-time asymptotics for a matrix spin drift-diffusion model ⋮ Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors ⋮ Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction

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