Sharp-interface formation during lithium intercalation into silicon
In this study we present a phase-field model that describes the process of intercalation of Li ions into a layer of an amorphous solid such as amorphous silicon (a-Si). The governing equations couple a viscous Cahn-Hilliard-Reaction model with elasticity in the framework of the Cahn-Larch´e system....
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| Format: | Journal article |
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Cambridge University Press
2017
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| _version_ | 1797092454967541760 |
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| author | Meca, E Muench, A Wagner, B |
| author_facet | Meca, E Muench, A Wagner, B |
| author_sort | Meca, E |
| collection | OXFORD |
| description | In this study we present a phase-field model that describes the process of intercalation of Li ions into a layer of an amorphous solid such as amorphous silicon (a-Si). The governing equations couple a viscous Cahn-Hilliard-Reaction model with elasticity in the framework of the Cahn-Larch´e system. We discuss the parameter settings and flux conditions at the free boundary that lead to the formation of phase boundaries having a sharp gradient in lithium ion concentration between the initial state of the solid layer and the intercalated region. We carry out a matched asymptotic analysis to derive the corresponding sharpinterface model that also takes into account the dynamics of triple points where the sharp interface intersects the free boundary of the Si layer. We numerically compare the interface motion predicted by the sharp-interface model with the long-time dynamics of the phase- field model. |
| first_indexed | 2024-03-07T03:46:07Z |
| format | Journal article |
| id | oxford-uuid:bf88a19d-7470-4b06-a9c6-f4ac097117e2 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:46:07Z |
| publishDate | 2017 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:bf88a19d-7470-4b06-a9c6-f4ac097117e22022-03-27T05:48:03ZSharp-interface formation during lithium intercalation into siliconJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bf88a19d-7470-4b06-a9c6-f4ac097117e2Symplectic Elements at OxfordCambridge University Press2017Meca, EMuench, AWagner, BIn this study we present a phase-field model that describes the process of intercalation of Li ions into a layer of an amorphous solid such as amorphous silicon (a-Si). The governing equations couple a viscous Cahn-Hilliard-Reaction model with elasticity in the framework of the Cahn-Larch´e system. We discuss the parameter settings and flux conditions at the free boundary that lead to the formation of phase boundaries having a sharp gradient in lithium ion concentration between the initial state of the solid layer and the intercalated region. We carry out a matched asymptotic analysis to derive the corresponding sharpinterface model that also takes into account the dynamics of triple points where the sharp interface intersects the free boundary of the Si layer. We numerically compare the interface motion predicted by the sharp-interface model with the long-time dynamics of the phase- field model. |
| spellingShingle | Meca, E Muench, A Wagner, B Sharp-interface formation during lithium intercalation into silicon |
| title | Sharp-interface formation during lithium intercalation into silicon |
| title_full | Sharp-interface formation during lithium intercalation into silicon |
| title_fullStr | Sharp-interface formation during lithium intercalation into silicon |
| title_full_unstemmed | Sharp-interface formation during lithium intercalation into silicon |
| title_short | Sharp-interface formation during lithium intercalation into silicon |
| title_sort | sharp interface formation during lithium intercalation into silicon |
| work_keys_str_mv | AT mecae sharpinterfaceformationduringlithiumintercalationintosilicon AT muencha sharpinterfaceformationduringlithiumintercalationintosilicon AT wagnerb sharpinterfaceformationduringlithiumintercalationintosilicon |