Titre :

Asymptotic problems for wave-particle interactions: quantum and classical models

Auteur(s) :

Castella, François [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Degond, Pierre [Auteur]
Mathématiques pour l'Industrie et la Physique [MIP]
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Nonlinearity

Pagination :

1677-1720

Éditeur :

IOP Publishing

Date de publication :

2007

ISSN :

0951-7715

Mot(s)-clé(s) en anglais :

RANDOM SCHRODINGER-EQUATION
TRANSPORT-EQUATIONS
DIFFERENTIAL-EQUATIONS
2-SCALE CONVERGENCE
HAMILTONIAN FLOW
LIMIT-THEOREM
BLOCH MODEL
HOMOGENIZATION
DIFFUSION
POTENTIALS

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

This paper is devoted to the asymptotic analysis of both quantum and classical models which describe the evolution of electrons subject to the potential of an atomic crystal perturbed by the highly oscillating potential ...
Lire la suite >This paper is devoted to the asymptotic analysis of both quantum and classical models which describe the evolution of electrons subject to the potential of an atomic crystal perturbed by the highly oscillating potential of external electromagnetic waves. We derive either Einstein rate equations or diffusion equations with respect to the energy variable, depending on whether the initial model is quantum or classical. We point out the analogies and differences in the treatment of the two models, considering successively the cases of (quasi-) periodic perturbations or random ones. We point out the different roles of the relaxation effects according to the nature of the perturbation.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL