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| HAL : hal-00020907, version 1 |
| DOI : 10.1016/j.jcp.2006.06.027 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Computational Physics 221, 1 (2007) 226-249 |
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| An entropic Quantum Drift-Diffusion model for electron transport in resonant tunneling diodes |
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| Pierre Degond 1Samy Gallego 1 |
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| (2007) |
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| We present an entropic Quantum Drift Diffusion model (eQDD) and show how it can be derived on a bounded domain as the diffusive approximation of the Quantum Liouville equation with a quantum BGK operator. Some links between this model and other existing models are exhibited, especially with the Density Gradient (DG) model and the Schrödinger-Poisson Drift Diffusion model (SPDD). Then a finite difference scheme is proposed to discretize the eQDD model coupled to the Poisson equation and we show how this scheme can be slightly modified to discretize the other models. Numerical results show that the properties listed for the eQDD model are checked, as well as the model captures important features concerning the modeling of a resonant tunneling diode. To finish, some comparisons between the models stated above are realized. |
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| 1 : | Mathématiques pour l'Industrie et la Physique (MIP) |
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CNRS : UMR5640 – Université des Sciences Sociales - Toulouse I – Université Paul Sabatier [UPS] - Toulouse III – Institut National des Sciences Appliquées (INSA) - Toulouse |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Domaine | : | Mathématiques/Analyse numérique Sciences de l'ingénieur/Micro et nanotechnologies/Microélectronique |
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| entropic Quantum Drift Diffusion – density matrix – Quantum Liouville – Density Gradient – Schrödinger Poisson Drift Diffusion – resonant tunneling diode – current-voltage characteristics |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00020907, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00020907 | |
| oai:hal.archives-ouvertes.fr:hal-00020907 | |
| Contributeur : Florian Méhats | |
| Soumis le : Jeudi 16 Mars 2006, 10:50:37 | |
| Dernière modification le : Mardi 23 Mars 2010, 11:40:22 | |
