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Solving Parker’s transport equation with stochastic differential equations on GPUs
(Elsevier, 2015)
The numerical solution of transport equations for energetic charged particles in space is generally very costly in terms of time. Besides the use of multi-core CPUs and computer clusters in order to decrease the computation ...
Modelling anomalous cosmic ray oxygen in the heliosheath
(EDP Sciences, 2010)
This paper discusses a numerical modulation model to describe anomalous cosmic ray acceleration and transport in the heliosheath, the portion of the heliosphere between the termination shock and the heliopause. The model ...
Modeling anomalous cosmic ray oxygen gradients over successive solar cycles
(American Geophysical Union, 2010)
Cosmic ray drift directions depend both on the charge of the particle population under consideration, as well as the heliospheric magnetic field polarity which oscillates within a ∼22 year cycle. The differences in the ...
On the propagation times and energy losses of cosmic rays in the heliosphere
(American Geophysical Union, 2011)
We present calculations of the propagation times and energy losses of cosmic rays as they are transported through the heliosphere. By calculating these quantities for a spatially 1D scenario, we benchmark our numerical ...
Modeling the modulation of galactic and jovian electrons by stochastic processes
(IOP Publishing, 2011)
We present a newly developed numerical modulation model to study the transport of galactic and Jovian electrons in the heliosphere. The model employs stochastic differential equations (SDEs) to solve the corresponding ...
Modelling and observing Jovian electron propagation times in the inner heliosphere
(Elsevier, 2013)
The propagation of Jovian electrons in interplanetary space was modelled by solving the relevant transport equation numerically through the use of stochastic differential equations. This approach allows us to calculate, ...
New insights from modeling the neutral heliospheric current sheet
(Springer, 2015)
Recently, the modulation of cosmic rays in the heliosphere
has increasingly been studied by solving the well
known transport equation via an approach based on stochastic
differential equations. This approach, which is ...
Time-dependent cosmic ray modulation
(Elsevier, 2011)
Time-dependent cosmic ray modulation is calculated over multiple solar cycles using our well established two-dimensional time-dependent modulation model. Results are compared to Voyager 1, Ulysses and IMP cosmic ray ...
Jovian electrons in the inner heliosphere: proposing a new source spectrum based on 30 years of measurements
(EDP Sciences, 2018)
Context. Since the Pioneer 10 flyby of Jupiter it has become well known that electrons of Jovian origin dominate the lower MeV range of charged energetic particles in the inner heliosphere.
Aims. Because the Jovian source ...
A stochastic approach to galactic proton propagation: influence of the spiral arm structure
(Elsevier, 2014)
A newly developed numerical code solving Fokker–Planck type transport equations in currently four
dimensions (space plus momentum or energy) and time by means of stochastic differential equations
(SDEs) is applied to the ...