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20112025
most citedA Hitch-hiker's Guide to Stochastic Differential Equations: Solution Methods for Energetic Particle Transport in Space Physics and Astrophysics

113 citations · 876 across the 27 of their papers we have counts for

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physics.space-ph2024★ 11 cited

Towards Synthetic Magnetic Turbulence with Coherent Structures

Jeremiah Lübke, Frederic Effenberger, Mike Wilbert +2

Synthetic turbulence is a relevant tool to study complex astrophysical and space plasma environments inaccessible by direct simulation. However, conventional models lack intermitte…

physics.space-ph2020★ 40 cited

A Primer on Focused Solar Energetic Particle Transport: Basic physics and recent modelling results

J. P. van den Berg, R. D. Strauss, F. Effenberger

The basics of focused transport as applied to solar energetic particles are reviewed, paying special attention to areas of common misconception. The micro-physics of charged partic…

physics.space-ph2015

The telegraph approximation for focused cosmic-ray transport in the presence of boundaries

Yuri E. Litvinenko, Frederic Effenberger, Reinhard Schlickeiser

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…

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…

physics.space-ph2012★ 37 cited

A Generalized Diffusion Tensor for Fully Anisotropic Diffusion of Energetic Particles in the Heliospheric Magnetic Field

Frederic Effenberger, Horst Fichtner, Klaus Scherer +3

The spatial diffusion of cosmic rays in turbulent magnetic fields can, in the most general case, be fully anisotropic, i.e. one has to distinguish three diffusion axes in a local,…