A Hybrid Drift Diffusion Model: Derivation, Weak Steady State Solutions and Simulations
| dc.contributor.author | Chiarelli, Simone | |
| dc.contributor.author | di Michele, Federica | |
| dc.contributor.author | Rubino, Bruno | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 1 | cs |
| dc.date.accessioned | 2013-03-04T16:08:26Z | |
| dc.date.available | 2013-03-20T05:54:21Z | |
| dc.date.issued | 2012 | cs |
| dc.description.abstract | In this paper we derive a new hybrid model for drift di usion equations. This model provides a description of the quantum phenomena in the parts of the device where they are relevant, and degenerates to a semiclassical model where quantum e ects are negligible, so that the system can be considered classically. The study of quantum correction to the equation of state of an electron gas in a semiconductor with the assumption of localized quantum e ects leads to a further condition on the classical-quantum interface. Moreover, we prove the existence of weak solutions for our hybrid model. Finally, we present numerical results for di erent devices, by means of Colsys software. | en |
| dc.format | text | cs |
| dc.format.extent | 37-55 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2012, 1, č. 1, s. 37-55. ISSN 1805-3629. | cs |
| dc.identifier.doi | 10.13164/ma.2012.03 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/19525 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics of Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/1_1/37_55.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.title | A Hybrid Drift Diffusion Model: Derivation, Weak Steady State Solutions and Simulations | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |