Analysis of a spin-polarized drift-diffusion model
dc.bibliographicCitation.volume | 1300 | |
dc.contributor.author | Glitzky, Annegret | |
dc.date.accessioned | 2016-03-24T17:38:21Z | |
dc.date.available | 2019-06-28T08:03:05Z | |
dc.date.issued | 2008 | |
dc.description.abstract | We introduce a spin-polarized drift-diffusion model for semiconductor spintronic devices. This coupled system of continuity equations and a Poisson equation with mixed boundary conditions in all equations has to be considered in heterostructures. We give a weak formulation of this problem and prove an existence and uniqueness result for the instationary problem. If the boundary data is compatible with thermodynamic equilibrium the free energy along the solution decays monotonously and exponentially to its equilibrium value. In other cases it may be increasing but we estimate its growth. Moreover we give upper and lower estimates for the solution. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/1982 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1977 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1300, ISSN 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Reaction–diffusion systems | eng |
dc.subject | spin-polarized drift–diffusion processes | eng |
dc.subject | motion of charged particles | eng |
dc.subject | existence | eng |
dc.subject | uniqueness | eng |
dc.subject | energy estimates | eng |
dc.subject | a priori estimates | eng |
dc.subject | asymptotic behaviour | eng |
dc.subject.ddc | 510 | eng |
dc.title | Analysis of a spin-polarized drift-diffusion model | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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