Michon, Mr Christian (2019) A mathematical model for anomalous diffusion PRE - Projet de recherche, ENSTA.
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Résumé
The present report constructs a mathematical model to anomalous diffusion of particles in the atmosphere. After presenting the existing physical models, we present different attempts to fit the data from Copenhagen experiment to a model broadly inspired by the density function of a fractional Brownian motion. A theoretical opening is given to explain why a mathematical model could be much more interesting and useful than a physical one.
Type de document: | Rapport ou mémoire (PRE - Projet de recherche) |
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Mots-clés libres: | Anomalous diffusion, Fractional derivatives, Copenhagen experiment, Performance indices, Fractional Brownian motion, Feynman- Kac formulae |
Sujets: | Mathématiques et leurs applications Physique, optique |
Code ID : | 7511 |
Déposé par : | Christian Michon |
Déposé le : | 07 juill. 2021 18:08 |
Dernière modification: | 07 juill. 2021 18:08 |