Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory

We present a theory of trapped ion motion in the magnetotail current sheet with a constant dawn–dusk component of the magnetic field. Particle trajectories are described analytically using the quasi-adiabatic invariant corresponding to averaging of fast oscillations around the tangential component o...

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Main Authors: A. V. Artemyev, A. I. Neishtadt, L. M. Zelenyi
Format: Article
Language:English
Published: Copernicus Publications 2013-02-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/20/163/2013/npg-20-163-2013.pdf
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author A. V. Artemyev
A. I. Neishtadt
L. M. Zelenyi
author_facet A. V. Artemyev
A. I. Neishtadt
L. M. Zelenyi
author_sort A. V. Artemyev
collection DOAJ
description We present a theory of trapped ion motion in the magnetotail current sheet with a constant dawn–dusk component of the magnetic field. Particle trajectories are described analytically using the quasi-adiabatic invariant corresponding to averaging of fast oscillations around the tangential component of the magnetic field. We consider particle dynamics in the quasi-adiabatic approximation and demonstrate that the principal role is played by large (so called geometrical) jumps of the quasi-adiabatic invariant. These jumps appear due to the current sheet asymmetry related to the presence of the dawn–dusk magnetic field. The analytical description is compared with results of numerical integration. We show that there are four possible regimes of particle motion. Each regime is characterized by certain ranges of values of the dawn–dusk magnetic field and particle energy. We find the critical value of the dawn–dusk magnetic field, where jumps of the quasi-adiabatic invariant vanish.
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spelling doaj.art-56dfaffa997049009463519db7d32c632022-12-22T01:22:47ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462013-02-0120116317810.5194/npg-20-163-2013Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theoryA. V. ArtemyevA. I. NeishtadtL. M. ZelenyiWe present a theory of trapped ion motion in the magnetotail current sheet with a constant dawn–dusk component of the magnetic field. Particle trajectories are described analytically using the quasi-adiabatic invariant corresponding to averaging of fast oscillations around the tangential component of the magnetic field. We consider particle dynamics in the quasi-adiabatic approximation and demonstrate that the principal role is played by large (so called geometrical) jumps of the quasi-adiabatic invariant. These jumps appear due to the current sheet asymmetry related to the presence of the dawn–dusk magnetic field. The analytical description is compared with results of numerical integration. We show that there are four possible regimes of particle motion. Each regime is characterized by certain ranges of values of the dawn–dusk magnetic field and particle energy. We find the critical value of the dawn–dusk magnetic field, where jumps of the quasi-adiabatic invariant vanish.http://www.nonlin-processes-geophys.net/20/163/2013/npg-20-163-2013.pdf
spellingShingle A. V. Artemyev
A. I. Neishtadt
L. M. Zelenyi
Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
Nonlinear Processes in Geophysics
title Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
title_full Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
title_fullStr Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
title_full_unstemmed Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
title_short Ion motion in the current sheet with sheared magnetic field – Part 1: Quasi-adiabatic theory
title_sort ion motion in the current sheet with sheared magnetic field part 1 quasi adiabatic theory
url http://www.nonlin-processes-geophys.net/20/163/2013/npg-20-163-2013.pdf
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AT lmzelenyi ionmotioninthecurrentsheetwithshearedmagneticfieldpart1quasiadiabatictheory