Browsing by Subject "Stochastic differential equations"
Now showing items 1-10 of 11
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Aspects of the time-dependent modulation of galactic cosmic rays throughout a three-dimensional heliosphere
(North-West University (South Africa), 2021)A dominant feature in the heliosphere is the heliospheric current sheet, separating regions of opposite polarity of the heliospheric magnetic field. This structure is dependent on solar activity through the tilt angle, ... -
A hitch-hiker’s guide to stochastic differential equations: solution methods for energetic particle transport in space physics and astrophysics
(Springer, 2017)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 aim is to present a helpful working ... -
Modelling heliospheric current sheet drift in stochastic cosmic ray transport models
(Springer, 2012)Drifts are one of the major cosmic ray modulation mechanisms in the heliosphere. Three types of drifts occur in the background heliospheric magnetic field, namely curvature, gradient and current sheet drifts. The last ... -
Modelling of cosmic ray modulation in the heliosphere by stochastic processes
(North-West University, 2013)The transport of cosmic rays in the heliosphere is studied by making use of a newly developed modulation model. This model employes stochastic differential equations to numerically solve the relevant transport equation, ... -
Modelling of solar energetic particles by stochastic processes
(North-West University (South Africa), 2019)The focused transport of solar energetic particles has received increasingly more interest in the last couple of years due to upcoming missions to the Sun. Stochastic differential equations offer a numerically robust way ... -
Modelling the perpendicular transport of energetic electrons in the inner heliosphere
(North-West University (South Africa), 2023)The transport of charged particles across a background magnetic field can occur through either particle drifts or perpendicular diffusion caused by magnetic turbulence. The former process, which was proposed by some as an ... -
Numerical integration of stochastic differential equations: a parallel cosmic ray modulation implementation on Africa’s fastest computer
(Elsevier, 2019)Three-dimensional studies of the transport and modulation of cosmic ray particles in turbulent astrospheres require large-scale simulations using specialized scientific codes. Essentially, a multi-dimensional Fokker-Planck ... -
Numerical modeling of the evolution of stellar wind cavities and supernova remnants
(North-West University, Potchefstroom Campus, 2016)An astrosphere is a low density cavity that results from an outflowing supersonic wind. Of particular interest in this study is the effect of radiative cooling on the computed evolution of astrospheres created by O and ... -
Particle acceleration at travelling shocks in the heliosphere
(North-West University (South Africa), 2020)The acceleration of energetic protons from the solar wind (SW) distribution by traveling interplanetary shocks is investigated. The SW velocity distribution is represented using kappa functions, which are transformed in ... -
A stochastic approach to the modelling of cosmic rays in the heliosphere
(North-West University (South Africa), 2020)A spatially three-dimensional numerical modulation model based on solving a set of stochastic differential equations, corresponding to the Parker transport equation, is employed to study the galactic proton spectra measured ...