Existence of Bounded Steady State Solutions to Spin-Polarized Drift-Diffusion Systems

DOI10.1137/080736454zbMath1206.35233OpenAlexW2097993974MaRDI QIDQ3066251

Klaus Gärtner, Annegret Glitzky

Publication date: 10 January 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080736454

zbMATH Keywords

existenceuniquenessa priori estimatesreaction-diffusion systemsmotion of charged particlessteady statesScharfetter-Gummel schemeboundary conforming Delaunay gridspin-polarized drift-diffusion processes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Motion of charged particles (78A35) PDEs in connection with mechanics of deformable solids (35Q74)

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Charge Transport in Semiconductors and a Finite Volume Scheme ⋮ Formal derivation of quantum drift-diffusion equations with spin-orbit interaction ⋮ Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints ⋮ Analysis of a drift-diffusion model for organic semiconductor devices ⋮ 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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