Two-dimensional modelling of electron flow through a poorly conducting layer
Motivated by contact resistance on the front side of a crystalline silicon solar cell, we formulate and analyse a two-dimensional mathematical model for electron flow across a poorly conducting (glass) layer situated between silver electrodes, based on the drift-diffusion (Poisson-Nernst-Planck) equ...
| Main Authors: | , , |
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| Format: | Journal article |
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Society for Industrial and Applied Mathematics
2015
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| _version_ | 1826282968025399296 |
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| author | Black, J Breward, C Howell, P |
| author_facet | Black, J Breward, C Howell, P |
| author_sort | Black, J |
| collection | OXFORD |
| description | Motivated by contact resistance on the front side of a crystalline silicon solar cell, we formulate and analyse a two-dimensional mathematical model for electron flow across a poorly conducting (glass) layer situated between silver electrodes, based on the drift-diffusion (Poisson-Nernst-Planck) equations. We devise and validate a novel spectral method to solve this model numerically. We find that the current short-circuits through thin glass layer regions. This enables us to determine asymptotic expressions for the average current density for two different canonical glass layer profiles. |
| first_indexed | 2024-03-07T00:51:50Z |
| format | Journal article |
| id | oxford-uuid:86ab1477-aff9-4304-bc97-d2d17fa98442 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:51:50Z |
| publishDate | 2015 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:86ab1477-aff9-4304-bc97-d2d17fa984422022-03-26T22:05:28ZTwo-dimensional modelling of electron flow through a poorly conducting layerJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:86ab1477-aff9-4304-bc97-d2d17fa98442Symplectic Elements at OxfordSociety for Industrial and Applied Mathematics2015Black, JBreward, CHowell, PMotivated by contact resistance on the front side of a crystalline silicon solar cell, we formulate and analyse a two-dimensional mathematical model for electron flow across a poorly conducting (glass) layer situated between silver electrodes, based on the drift-diffusion (Poisson-Nernst-Planck) equations. We devise and validate a novel spectral method to solve this model numerically. We find that the current short-circuits through thin glass layer regions. This enables us to determine asymptotic expressions for the average current density for two different canonical glass layer profiles. |
| spellingShingle | Black, J Breward, C Howell, P Two-dimensional modelling of electron flow through a poorly conducting layer |
| title | Two-dimensional modelling of electron flow through a poorly conducting
layer |
| title_full | Two-dimensional modelling of electron flow through a poorly conducting
layer |
| title_fullStr | Two-dimensional modelling of electron flow through a poorly conducting
layer |
| title_full_unstemmed | Two-dimensional modelling of electron flow through a poorly conducting
layer |
| title_short | Two-dimensional modelling of electron flow through a poorly conducting
layer |
| title_sort | two dimensional modelling of electron flow through a poorly conducting layer |
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