A Hitch-hiker's Guide to stochastic differential equations: solution methods for energetic particle transport in space physics and astrophysics

RDT Strauss, F Effenberger - Space Science Reviews, 2017 - Springer
In this review, an overview of the recent history of stochastic differential equations (SDEs) in
application to particle transport problems in space physics and astrophysics is given. The …

Galactic cosmic rays throughout the heliosphere and in the very local interstellar medium

JS Rankin, V Bindi, AM Bykov, AC Cummings… - Space Science …, 2022 - Springer
We review recent observations and modeling developments on the subject of galactic
cosmic rays through the heliosphere and in the Very Local Interstellar Medium, emphasizing …

Heliosheath processes and the structure of the heliopause: modeling energetic particles, cosmic rays, and magnetic fields

NV Pogorelov, H Fichtner, A Czechowski… - Space science …, 2017 - Springer
This paper summarizes the results obtained by the team “Heliosheath Processes and the
Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic …

The 3D numerical modeling of the solar modulation of galactic protons and helium nuclei related to observations by PAMELA between 2006 and 2009

MD Ngobeni, OPM Aslam, D Bisschoff… - Astrophysics and Space …, 2020 - Springer
The global features of the modulation of galactic cosmic ray protons and helium nuclei in a
very quiet heliosphere are studied with a comprehensive, three-dimensional, drift model and …

Propagation of cosmic rays in heliosphere: The HELMOD model

MJ Boschini, S Della Torre, M Gervasi… - Advances in Space …, 2018 - Elsevier
The heliospheric modulation model H el M od is a two dimensional treatment dealing with
the helio-colatitude and radial distance from Sun and is employed to solve the transport …

The global modulation of cosmic rays during a quiet heliosphere: A modeling perspective

MS Potgieter - Advances in Space Research, 2017 - Elsevier
A perspective is given of the solar modulation of galactic cosmic rays in the heliosphere
during the extraordinary quiet solar minimum period from 2006 to 2009. This is done in the …

Difference in the heliospheric modulation of cosmic-ray protons and electrons during the solar minimum period of 2006 to 2009

MS Potgieter, EE Vos - Astronomy & Astrophysics, 2017 - aanda.org
Context. The PAMELA experiment observed galactic proton and electron spectra down to 70
MV and 400 MV, respectively, from mid-2006 to the end of 2009 during what is called an A< …

A numerical study of the effects of corotating interaction regions on cosmic-ray transport

X Luo, M Zhang, X Feng, MS Potgieter… - The Astrophysical …, 2020 - iopscience.iop.org
The intensity of galactic cosmic rays (GCRs) is modulated by solar activity on various
timescales. In this study, we performed comprehensive numerical modeling of the solar …

A numerical study of Forbush decreases with a 3D cosmic-ray modulation model based on an SDE approach

X Luo, MS Potgieter, M Zhang… - The Astrophysical …, 2017 - iopscience.iop.org
Based on the reduced diffusion mechanism for producing Forbush decreases (Fds) in the
heliosphere, we constructed a three-dimensional (3D) diffusion barrier, and by incorporating …

Sensitivity of cosmic-ray proton spectra to the low-wavenumber behavior of the 2D turbulence power spectrum

NE Engelbrecht, RA Burger - The Astrophysical Journal, 2015 - iopscience.iop.org
In this study, a novel ab initio cosmic ray (CR) modulation code that solves a set of stochastic
transport equations equivalent to the Parker transport equation, and that uses output from a …