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| HAL : hal-00124705, version 2 |
| DOI : 10.2969/jmsj/06110065 |
| Fiche détaillée |  Récupérer au format |
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| Journal of the Mathematical Society of Japan 61, 1 (2009) 65-106 |
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| Versions disponibles : | v1 (15-01-2007) | v2 (30-05-2007) |
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| Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II |
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| Virginie Bonnaillie-Noël 1Francis Nier 1 |
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| (2009) |
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| This article continues the asymptotic analysis of a nonlinear Schrödinger-Poisson system which models in a far from equilibrium regime the quantum transport in electronic devices like resonant tunneling diodes. Within the reduction to an h-dependent linear problem with uniform regularity estimates for the potential already established in the first part, explicit computations of the asymptotic finite dimensional nonlinear system are derived. They rely on an accurate (phase-space) analysis of the tunnel effect which relies on some kind of Breit-Wigner formula and Fermi golden rule. UNE VERSION MODIFIEE DE CE TEXTE EST PARUE DANS J. MATH. SOC. JAPAN. |
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| 1 : | 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/Equations aux dérivées partielles Mathématiques/Physique mathématique Physique/Physique mathématique |
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| Schrödinger-Poisson system – Asymptotic analysis – Multiscale problems |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00124705, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00124705 | |
| oai:hal.archives-ouvertes.fr:hal-00124705 | |
| Contributeur : Virginie Bonnaillie-Noël | |
| Soumis le : Mercredi 30 Mai 2007, 11:12:24 | |
| Dernière modification le : Mardi 9 Mars 2010, 15:19:56 | |
