Michon, Mr Christian (2019) A mathematical model for anomalous diffusion PRE - Research Project, ENSTA.
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Abstract
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.
| Item Type: | Thesis (PRE - Research Project) |
|---|---|
| Uncontrolled Keywords: | Anomalous diffusion, Fractional derivatives, Copenhagen experiment, Performance indices, Fractional Brownian motion, Feynman- Kac formulae |
| Subjects: | Mathematics and Applications Physics, Optics |
| ID Code: | 7511 |
| Deposited By: | Christian Michon |
| Deposited On: | 07 juill. 2021 18:08 |
| Dernière modification: | 07 juill. 2021 18:08 |
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