Numerical and experimental evidence for a new interpretation of residence times in space. (arXiv:2110.11213v1 [physics.space-ph])
<a href="http://arxiv.org/find/physics/1/au:+Vogt_A/0/1/0/all/0/1">A. Vogt</a>, <a href="http://arxiv.org/find/physics/1/au:+Engelbrecht_N/0/1/0/all/0/1">N. E. Engelbrecht</a>, <a href="http://arxiv.org/find/physics/1/au:+Heber_B/0/1/0/all/0/1">B. Heber</a>, <a href="http://arxiv.org/find/physics/1/au:+Kopp_A/0/1/0/all/0/1">A. Kopp</a>, <a href="http://arxiv.org/find/physics/1/au:+Herbst_K/0/1/0/all/0/1">K. Herbst</a>

We investigate the energy dependence of Jovian electron residence times,
which allows for a deeper understanding of adiabatic energy changes that occur
during charged particle transport, as well as of their significance for
simulation approaches. Thereby we seek to further validate an improved approach
to estimate residence times numerically by investigating the implications on
previous analytical approaches, and possible effects detectable by spacecraft
data. Utilizing a propagation model based on a Stochastic Differential Equation
(SDE) solver written in CUDA, residence times for Jovian electrons are
calculated over the whole energy range dominated by the Jovian electron source
spectrum. We analyse the interdependences both with the magnetic connection
between observer and the source as well as between the the distribution of the
exit (simulation) times and the resulting residence times. We point out a
linear relation between the residence time for different kinetic energies and
the longitudinal shift of the 13 month periodicity typically observed for
Jovian electrons and discuss the applicability of these findings to data.
Furthermore, we utilize our finding that the simulated residence times are
approximately linearly related to the energy loss for Jovian and Galactic
electrons, and develop an improved analytical estimation in agreement with the
numerical residence time and the longitudinal shift observed by measurements.

We investigate the energy dependence of Jovian electron residence times,
which allows for a deeper understanding of adiabatic energy changes that occur
during charged particle transport, as well as of their significance for
simulation approaches. Thereby we seek to further validate an improved approach
to estimate residence times numerically by investigating the implications on
previous analytical approaches, and possible effects detectable by spacecraft
data. Utilizing a propagation model based on a Stochastic Differential Equation
(SDE) solver written in CUDA, residence times for Jovian electrons are
calculated over the whole energy range dominated by the Jovian electron source
spectrum. We analyse the interdependences both with the magnetic connection
between observer and the source as well as between the the distribution of the
exit (simulation) times and the resulting residence times. We point out a
linear relation between the residence time for different kinetic energies and
the longitudinal shift of the 13 month periodicity typically observed for
Jovian electrons and discuss the applicability of these findings to data.
Furthermore, we utilize our finding that the simulated residence times are
approximately linearly related to the energy loss for Jovian and Galactic
electrons, and develop an improved analytical estimation in agreement with the
numerical residence time and the longitudinal shift observed by measurements.

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