A semi-analytical foreshock model for energetic storm particle events inside 1 AU

We have constructed a semi-analytical model of the energetic-ion foreshock of a CME-driven coronal/interplanetary shock wave responsible for the acceleration of large solar energetic particle (SEP) events. The model is based on the analytical model of diffusive shock acceleration of Bell (1978), app...

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Main Authors: Vainio Rami, Pönni Arttu, Battarbee Markus, Koskinen Hannu E. J., Afanasiev Alexandr, Laitinen Timo
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:Journal of Space Weather and Space Climate
Subjects:
Online Access:https://www.swsc-journal.org/articles/swsc/full_html/2014/01/swsc130035/swsc130035.html
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author Vainio Rami
Pönni Arttu
Battarbee Markus
Koskinen Hannu E. J.
Afanasiev Alexandr
Laitinen Timo
author_facet Vainio Rami
Pönni Arttu
Battarbee Markus
Koskinen Hannu E. J.
Afanasiev Alexandr
Laitinen Timo
author_sort Vainio Rami
collection DOAJ
description We have constructed a semi-analytical model of the energetic-ion foreshock of a CME-driven coronal/interplanetary shock wave responsible for the acceleration of large solar energetic particle (SEP) events. The model is based on the analytical model of diffusive shock acceleration of Bell (1978), appended with a temporal dependence of the cut-off momentum of the energetic particles accelerated at the shock, derived from the theory. Parameters of the model are re-calibrated using a fully time-dependent self-consistent simulation model of the coupled particle acceleration and Alfvén-wave generation upstream of the shock. Our results show that analytical estimates of the cut-off energy resulting from the simplified theory and frequently used in SEP modelling are overestimating the cut-off momentum at the shock by one order magnitude. We show also that the cut-off momentum observed remotely far upstream of the shock (e.g., at 1 AU) can be used to infer the properties of the foreshock and the resulting energetic storm particle (ESP) event, when the shock is still at small distances from the Sun, unaccessible to the in-situ observations. Our results can be used in ESP event modelling for future missions to the inner heliosphere, like the Solar Orbiter and Solar Probe Plus as well as in developing acceleration models for SEP events in the solar corona.
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spelling doaj.art-af8e715f75e74f8f9dfad0d80222b9312022-12-21T19:59:58ZengEDP SciencesJournal of Space Weather and Space Climate2115-72512014-01-014A0810.1051/swsc/2014005swsc130035A semi-analytical foreshock model for energetic storm particle events inside 1 AUVainio RamiPönni ArttuBattarbee MarkusKoskinen Hannu E. J.Afanasiev AlexandrLaitinen TimoWe have constructed a semi-analytical model of the energetic-ion foreshock of a CME-driven coronal/interplanetary shock wave responsible for the acceleration of large solar energetic particle (SEP) events. The model is based on the analytical model of diffusive shock acceleration of Bell (1978), appended with a temporal dependence of the cut-off momentum of the energetic particles accelerated at the shock, derived from the theory. Parameters of the model are re-calibrated using a fully time-dependent self-consistent simulation model of the coupled particle acceleration and Alfvén-wave generation upstream of the shock. Our results show that analytical estimates of the cut-off energy resulting from the simplified theory and frequently used in SEP modelling are overestimating the cut-off momentum at the shock by one order magnitude. We show also that the cut-off momentum observed remotely far upstream of the shock (e.g., at 1 AU) can be used to infer the properties of the foreshock and the resulting energetic storm particle (ESP) event, when the shock is still at small distances from the Sun, unaccessible to the in-situ observations. Our results can be used in ESP event modelling for future missions to the inner heliosphere, like the Solar Orbiter and Solar Probe Plus as well as in developing acceleration models for SEP events in the solar corona.https://www.swsc-journal.org/articles/swsc/full_html/2014/01/swsc130035/swsc130035.htmlEnergetic particleSEPShocksHeliosphereInterplanetary medium
spellingShingle Vainio Rami
Pönni Arttu
Battarbee Markus
Koskinen Hannu E. J.
Afanasiev Alexandr
Laitinen Timo
A semi-analytical foreshock model for energetic storm particle events inside 1 AU
Journal of Space Weather and Space Climate
Energetic particle
SEP
Shocks
Heliosphere
Interplanetary medium
title A semi-analytical foreshock model for energetic storm particle events inside 1 AU
title_full A semi-analytical foreshock model for energetic storm particle events inside 1 AU
title_fullStr A semi-analytical foreshock model for energetic storm particle events inside 1 AU
title_full_unstemmed A semi-analytical foreshock model for energetic storm particle events inside 1 AU
title_short A semi-analytical foreshock model for energetic storm particle events inside 1 AU
title_sort semi analytical foreshock model for energetic storm particle events inside 1 au
topic Energetic particle
SEP
Shocks
Heliosphere
Interplanetary medium
url https://www.swsc-journal.org/articles/swsc/full_html/2014/01/swsc130035/swsc130035.html
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