Browsing by Author "Effenberger, Frederic"
Now showing items 1-5 of 6
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Analytical solutions of fractional diffusion-advection equation for solar cosmic-ray transport
(The American Astronomical Society, 2014)Motivated by recent applications of superdiffusive transport models to shock-accelerated particle distributions in the heliosphere, we analytically solve a one-dimensional fractional diffusion-advection equation for the ... -
Current singularities at Quasi-separatrix layers and three-dimensional magnetic nulls
(IOP PUBLISHING LTD, 2014-11-10)The open problem of how singular current structures form in line-tied, three-dimensional magnetic fields is addressed. A Lagrangian magneto-frictional relaxation method is employed to model the field evolution toward the ... -
Simulations of 3D Magnetic Merging: Resistive Scalings for Null Point and QSL Reconnection
(Springer, 2016)Starting from an exact, steady-state, force-free solution of the magnetohydrodynamic (MHD) equations, we investigate how resistive current layers are induced by perturbing line-tied three-dimensional magnetic equilibria. ... -
The telegraph approximation for focused cosmic-ray transport in the presence of boundaries
(IOP Sciences, 2015)Diffusive cosmic-ray transport in nonuniform large-scale magnetic fields in the presence of boundaries is considered. Reflecting and absorbing boundary conditions are derived for a modified telegraph equation with a ... -
The diffusion approximation versus the telegraph equation for modeling solar energetic particle transport with adiabatic focusing. I. isotropic pitch-angle scattering
(Institute of Physics Publishing, 2014)The diffusion approximation to the Fokker-Planck equation is commonly used to model the transport of solar energetic particles in interplanetary space. In this study, we present exact analytical predictions of a higher ...
