Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations

Test particle simulations are performed in order to analyze in detail the dynamics of transmitted electrons through a supercritical, strictly perpendicular, collisionless shock. In addition to adiabatic particles, two distinct nonadiabatic populations are observed surprisingly: (i) first, an <...

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Main Authors: P. Savoini, B. Lembège, V. Krasnosselskhik, Y. Kuramitsu
Format: Article
Language:English
Published: Copernicus Publications 2005-12-01
Series:Annales Geophysicae
Online Access:https://www.ann-geophys.net/23/3685/2005/angeo-23-3685-2005.pdf
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author P. Savoini
B. Lembège
V. Krasnosselskhik
Y. Kuramitsu
author_facet P. Savoini
B. Lembège
V. Krasnosselskhik
Y. Kuramitsu
author_sort P. Savoini
collection DOAJ
description Test particle simulations are performed in order to analyze in detail the dynamics of transmitted electrons through a supercritical, strictly perpendicular, collisionless shock. In addition to adiabatic particles, two distinct nonadiabatic populations are observed surprisingly: (i) first, an <I>over-adiabatic</I> population characterized by an increase in the gyrating velocity higher than that expected from the conservation of the magnetic moment &micro;, and <I>(ii)</I> second, an <I>under-adiabatic</I> population characterized by a decrease in this velocity. Results show that both nonadiabatic populations have their pitch angle more aligned along the magnetic field than the adiabatic one at the time these hit the shock front. The formation of "<I>under</I>" and "<I>over-adiabatic</I>" particles strongly depends on their local injection conditions through the large amplitude cross-shock potential present within the shock front. A simplified theoretical model validates these results and points out the important role of the electric field as seen by the electrons. A classification shows that both nonadiabatic electrons are issued from the core part of the upstream distributionÊ function. In contrast, suprathermal and tail electrons only contribute to the adiabatic population; nevertheless, the core part of the upstream distribution contributes at a lower percentage to the adiabatic electrons. <I>Under-adiabatic</I> electrons are characterized by small injection angles &theta;<sub><i>inj</i></sub>&le;90&deg;, whereas "<I>over-adiabatic</I>" particles have high injection angles &theta;<sub><i>inj</i></sub>&gt;90&deg; (where &theta;<sub><i>inj</i></sub> is the angle between the local gyrating velocity vector and the shock normal).
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spelling doaj.art-3e3b9a564b3343729c24ee3dff83da8f2022-12-21T19:54:29ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762005-12-01233685369810.5194/angeo-23-3685-2005Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulationsP. Savoini0B. Lembège1V. Krasnosselskhik2Y. Kuramitsu3CETP/UVSQ, 32–40, Avenue de l’Europe, 78140 Vélizy, FranceCETP/UVSQ, 32–40, Avenue de l’Europe, 78140 Vélizy, FranceLPCE/CNRS, 3a, Avenue de la recherche scientifique, 45071 Orléans la Source, FranceLPCE/CNRS, 3a, Avenue de la recherche scientifique, 45071 Orléans la Source, FranceTest particle simulations are performed in order to analyze in detail the dynamics of transmitted electrons through a supercritical, strictly perpendicular, collisionless shock. In addition to adiabatic particles, two distinct nonadiabatic populations are observed surprisingly: (i) first, an <I>over-adiabatic</I> population characterized by an increase in the gyrating velocity higher than that expected from the conservation of the magnetic moment &micro;, and <I>(ii)</I> second, an <I>under-adiabatic</I> population characterized by a decrease in this velocity. Results show that both nonadiabatic populations have their pitch angle more aligned along the magnetic field than the adiabatic one at the time these hit the shock front. The formation of "<I>under</I>" and "<I>over-adiabatic</I>" particles strongly depends on their local injection conditions through the large amplitude cross-shock potential present within the shock front. A simplified theoretical model validates these results and points out the important role of the electric field as seen by the electrons. A classification shows that both nonadiabatic electrons are issued from the core part of the upstream distributionÊ function. In contrast, suprathermal and tail electrons only contribute to the adiabatic population; nevertheless, the core part of the upstream distribution contributes at a lower percentage to the adiabatic electrons. <I>Under-adiabatic</I> electrons are characterized by small injection angles &theta;<sub><i>inj</i></sub>&le;90&deg;, whereas "<I>over-adiabatic</I>" particles have high injection angles &theta;<sub><i>inj</i></sub>&gt;90&deg; (where &theta;<sub><i>inj</i></sub> is the angle between the local gyrating velocity vector and the shock normal).https://www.ann-geophys.net/23/3685/2005/angeo-23-3685-2005.pdf
spellingShingle P. Savoini
B. Lembège
V. Krasnosselskhik
Y. Kuramitsu
Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
Annales Geophysicae
title Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
title_full Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
title_fullStr Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
title_full_unstemmed Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
title_short Under and over-adiabatic electrons through a perpendicular collisionless shock: theory versus simulations
title_sort under and over adiabatic electrons through a perpendicular collisionless shock theory versus simulations
url https://www.ann-geophys.net/23/3685/2005/angeo-23-3685-2005.pdf
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