الفهرس 
Introductionيوجد فقط 14 صفحة متاحة للعرض العام
 |  | from | 104 |  |  |
| | | from | 104 | | |
المستخلص
The diffusion of energetic particles in interplanetary and interstellar plasma backgrounds is an extensive field of research at the interface between particle physics and astrophysics. This thesis extends some central aspects in the theoretical description of such non-diffusive transport processes. They can be summarized in four key issues. First, developing a fractional derivative model of energetic particle transport for both uniform and non-uniform large-scale magnetic field by studying the fractional Telegraph equation and the fractional advection- diffusion equation and as an illustration they are applied to the case of solar energetic particles. Second, the so-called fractional hyper diffusion equation is presented to develop a fractional derivative model of the transport of energetic particles. The profiles of particle densities are illustrated for different values of space-fractional order. Third, anomalous transport models of energetic particles in space plasmas are developed by deriving the fractional force-less Fokker-Planck equation and the fractional diffusion advection equation from the Klein-Kramers equation and the profiles of the particles densities are discussed in each case for different values of fractional orders. Fourth, introducing the fractional Parker diffusion convection equation to develop anomalous diffusion models of energetic particles in space plasmas and the profiles of particle densities are illustrated for different values of the space-fractional order and the so-called skewness parameter. The models developed in this work allow for a quantitative analysis of particle spectral intensities measured by spacecraft and open new avenues of astrophysical research.