Existence of bounded steady state solutions to spin-polarized drift-diffusion systems
dc.bibliographicCitation.volume | 1357 | |
dc.contributor.author | Glitzky, Annegret | |
dc.contributor.author | Gärtner, Klaus | |
dc.date.accessioned | 2016-03-24T17:38:24Z | |
dc.date.available | 2019-06-28T08:25:28Z | |
dc.date.issued | 2008 | |
dc.description.abstract | We study a stationary 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. In 3D we prove the existence and boundedness of steady states. If the Dirichlet conditions are compatible or nearly compatible with thermodynamic equilibrium the solution is unique. The same properties are obtained for a space discretized version of the problem: Using a Scharfetter-Gummel scheme on 3D boundary conforming Delaunay grids we show existence, boundedness and, for small applied voltages, the uniqueness of the discrete solution. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2319 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3446 | |
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 1357, 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 | steady states | eng |
dc.subject | existence | eng |
dc.subject | a priori estimates | eng |
dc.subject | uniqueness | eng |
dc.subject | Scharfetter-Gummel scheme boundary conforming Delaunay grid. | eng |
dc.subject.ddc | 510 | eng |
dc.title | Existence of bounded steady state solutions to spin-polarized drift-diffusion systems | 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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