113 citations · 876 across the 27 of their papers we have counts for
Showing 2014Show all
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astro-ph.SR2014★ 17 cited
Current Singularities at Quasi-Separatrix Layers and Three-Dimensional Magnetic Nulls
I. J. D. Craig, Frederic Effenberger
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…
physics.space-ph2014★ 45 cited
The Diffusion Approximation vs. the Telegraph Equation for Modeling Solar Energetic Particle Transport with Adiabatic Focusing. I. Isotropic Pitch-angle Scattering
Frederic Effenberger, Yuri E. Litvinenko
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 ex…
physics.space-ph2014★ 29 cited
Analytical solutions of a fractional diffusion-advection equation for solar cosmic-ray transport
Yuri E. Litvinenko, Frederic Effenberger
Motivated by recent applications of superdiffusive transport models to shock-accelerated particle distributions in the heliosphere, we solve analytically a one-dimensional fraction…