Journal article
Quantum mechanical effects in continuum charge flow models
- Abstract:
-
This paper concerns mathematical modelling of charge transport across a thin poorly conducting layer between two electrodes. We describe and analyse two alternative approaches to model quantum effects within a continuum theory: the Density Gradient Confinement (DGC) and Density Gradient Tunnelling (DGT) theories. In either case, quantum effects are characterised by a small parameter, which we exploit to analyse the problems asymptotically. We thus find simplified approximate solutions which s...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Grant:
CASE award number BK/10/040
Bibliographic Details
- Publisher:
- Oxford University Press Publisher's website
- Journal:
- IMA Journal of Applied Mathematics Journal website
- Volume:
- 82
- Issue:
- 2
- Pages:
- 251–279
- Publication date:
- 2016-08-20
- Acceptance date:
- 2016-07-11
- DOI:
- EISSN:
-
1464-3634
- ISSN:
-
0272-4960
Item Description
- Keywords:
- Pubs id:
-
pubs:637449
- UUID:
-
uuid:cde80d5f-aa3e-4c42-acf2-c559ea87c26d
- Local pid:
- pubs:637449
- Source identifiers:
-
637449
- Deposit date:
- 2016-08-09
Terms of use
- Copyright holder:
- Black et al
- Copyright date:
- 2016
- Notes:
- Copyright © The authors 2016. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imamat/hxw037
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