Homogenization of a porous intercalation electrode with phase separation
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2905 | |
dc.contributor.author | Heida, Martin | |
dc.contributor.author | Landstorfer, Manuel | |
dc.contributor.author | Liero, Matthias | |
dc.date.accessioned | 2022-07-05T14:37:19Z | |
dc.date.available | 2022-07-05T14:37:19Z | |
dc.date.issued | 2021 | |
dc.description.abstract | In this work, we derive a new model framework for a porous intercalation electrode with a phase separating active material upon lithium intercalation. We start from a microscopic model consisting of transport equations for lithium ions in an electrolyte phase and intercalated lithium in a solid active phase. Both are coupled through a Neumann--boundary condition modeling the lithium intercalation reaction. The active material phase is considered to be phase separating upon lithium intercalation. We assume that the porous material is a given periodic microstructure and perform analytical homogenization. Effectively, the microscopic model consists of a diffusion and a Cahn--Hilliard equation, whereas the limit model consists of a diffusion and an Allen--Cahn equation. Thus we observe a Cahn--Hilliard to Allen--Cahn transition during the upscaling process. In the sense of gradient flows, the transition goes in hand with a change in the underlying metric structure of the PDE system. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9623 | |
dc.identifier.uri | https://doi.org/10.34657/8661 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2905 | |
dc.relation.issn | 2198-5855 | |
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.ddc | 510 | |
dc.subject.other | Battery | eng |
dc.subject.other | homogenization | eng |
dc.subject.other | two-scale convergence | eng |
dc.subject.other | porous electrode | eng |
dc.subject.other | non-equilibrium thermodynamics | eng |
dc.subject.other | phase separation | eng |
dc.title | Homogenization of a porous intercalation electrode with phase separation | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 17 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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