Soliton approach to magnetic holes

Baumgärtel, K.

doi:10.1029/1999ja900393

Cited by 117 publications

(150 citation statements)

References 45 publications

(15 reference statements)

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“…[3] In recent years, an alternative, ''soliton'' approach to magnetic holes, and other nonlinear structures observed in the magnetosheath of planets and comets has been developed in a series of articles by Baumgärtel [1999], Baumgärtel et al [2003], Sauer et al [2003], , and Dubinin et al [2003]. By using two-or multi-fluid equations and hybrid simulations these authors have found a variety of solitary solutions that could explain many of the reported experimental results.…”

Section: Introductionmentioning

confidence: 99%

Reinterpretation of mirror modes as trains of slow magnetosonic solitons

Stasiewicz

2004

Geophysical Research Letters

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[1] It is shown that large amplitude periodic oscillations of the magnetic field measured frequently by spacecraft in the magnetosheath, and interpreted as mirror-mode waves/ structures, represent trains of slow-mode magnetosonic solitons. Nonlinear magnetosonic wave-trains with properties attributed previously to mirror-mode structures are obtained as exact solutions of Hall-MHD equations with anisotropic ion pressure. The theoretically derived properties of magnetosonic solitons are compared with multipoint measurements on Cluster satellites in the magnetosheath with plasma beta (plasma/magnetic pressure) $10. The computed properties of nonlinear waves: amplitudes, spatial scales, periodicity, and propagation velocities are consistent with in situ measurements in space.

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Section: Introductionmentioning

confidence: 99%

Reinterpretation of mirror modes as trains of slow magnetosonic solitons

Stasiewicz

2004

Geophysical Research Letters

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“…[24] Our suggested mechanism for creating MHs/MDs by the Ponderomotive Force associated with phase-steepened Alfvén waves does not rule out other possibilities, such as creation by the mirror mode instability [Winterhalter et al, 2000] or by nonlinear evolution of Alfvén waves [Baumgärtel, 1999;Buti et al, 2001]. As one example, a gentle proton energization by the PF may lead to mirror instability without the formation of deep diamagnetic cavities.…”

Section: Final Commentsmentioning

confidence: 99%

Phase‐steepened Alfvén waves, proton perpendicular energization and the creation of magnetic holes and magnetic decreases: The ponderomotive force

Tsurutani

Dasgupta

Galvan

et al. 2002

Geophysical Research Letters

112

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[1] Solar wind protons detected within Magnetic Holes (MHs) and Magnetic Decreases (MDs) are found to be preferentially heated perpendicular toB 0 . The MHs/MDs are associated with the phase-steepened edges of nonlinear Alfvén waves. The proton anisotropies can lead to the proton cyclotron and mirror mode plasma instabilities. We examine the Ponderomotive Force (PF), a phenomenon due to wave pressure gradients, and show that for this plasma regime and for phase-steepened Alfvén waves, the PF proton acceleration/energization will primarily be orthogonal to B 0 . It is suggested that accelerated ions create the MHs/MDs by a diamagnetic effect.

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“…The aim of this paper is to show that the numerical result obtained by Baumgärtel (1999) is not a coincidence, and that the suggestion by Kennel et al (1988) is perfectly correct. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

“…This study was motivated by a recent result by Baumgärtel (1999). He numerically solved the non-stationary system of Hall MHD equations using a dark DNLS soliton as an initial condition.…”

Section: Introductionmentioning

confidence: 99%

DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-β Hall plasma

Рудерман

2002

J. Plasma Phys.

108

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Article:Ruderman, M.S. (2002) ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. Abstract. The one-dimensional oblique propagation of magnetohydrodynamic waves with arbitrary amplitudes in a Hall plasma with isotropic pressure is studied under assumption that the plasma β is large. It is shown that the wave evolution is described by the derivative nonlinear Schrödinger equation (DNLS).

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Soliton approach to magnetic holes

Cited by 117 publications

References 45 publications

Reinterpretation of mirror modes as trains of slow magnetosonic solitons

Reinterpretation of mirror modes as trains of slow magnetosonic solitons

Phase‐steepened Alfvén waves, proton perpendicular energization and the creation of magnetic holes and magnetic decreases: The ponderomotive force

DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-β Hall plasma

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