Magnetic Helicity in Space and Laboratory Plasmas / Edition 1

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Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 111.

Using the concept of magnetic helicity, physicists and mathematicians describe the topology of magnetic fields: twisting, writhing, and linkage. Mathematically, helicity is related to linking integrals, which Gauss introduced in the 19th century to describe the paths of asteroids in the sky. In the late 1970s the concept proved to be critical to understand laboratory plasma experiments on magnetic reconnection, dynamos, and magnetic field relaxation. In the late 1980s it proved equally important in understanding turbulence in the solar wind and the interplanetary magnetic field. During the last five years interest in magnetic helicity has grown dramatically in solar physics, and it will continue to grow as observations of vector magnetic fields become increasingly sophisticated.

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Editorial Reviews

Presents a review of magnetic helicity in laboratory plasmas, the Sun, interplanetary space, planetary dynamos, and astrophysical objects, addressing the needs of both established and beginning researchers. Offers a historical overview, provides necessary mathematical and physical background, discusses the limitations of the concept, and gives current reviews of studies involving magnetic helicity. Individual chapters are written by leading experts in each sub-field, many of whom pioneered helicity studies in their specialties. Topics include magnetic energy and helicity in open systems, flows in the solar convection zone, and solar flares and jets. No index. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780875900940
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 5/28/1999
  • Series: Geophysical Monograph Series, #111
  • Edition number: 1
  • Pages: 304
  • Product dimensions: 92.50 (w) x 11.00 (h) x 1.00 (d)

Table of Contents

Michael R. Brown, Richard C. Canfield, and Alexei A. Pertsoy ix

Utility of the Helicity Concept

Magnetic Helicity in Space Physics
Mitchell A. Berger 1

Implications of Magnetic Helicity Conservation
Allen H. Boozer 11

Influence of Geometry and Topology on Helicity
Jason Cantarella, Dennis DeTurck, Herman Gluck, Mikhail Teytel 17

MagneticE nergya nd Helicityi n Open Systems
B. C. Low 25

Helicity and Its Role in the Varieties of Magnetohydrodynamic Turbulence
David C. Montgomery and Jason W. Bates 33

Dynamos, Helicity, and the Solar Interior

Planetary Dynamos and Helicities
K. H. Radler 47

Helicity, Relaxation, and Dynamo in a Laboratory Plasma
S. C. Prager 55

Helicity in Large-Scale Dynamo Simulations
Axel Brandenburg 65

Creation of Twist at the Core-Convection Zone Interface
Peter A. Gilman and Paul Charbonneau 75

Flows in the Solar Convection Zone
A. G. Kosovichev 83

Twisted Flux Tubes and How They Get That Way
Dana Longcope, Mark Linton, Alexei Pevtsov, George Fisher, and Isaac Klapper 93

Helicity of the Photospheric Magnetic Field
Alexei A. Pevtsov and Richard C. Canfield 103

Balancea nd Solar-CyclVea riationos f MagneticH elicity
Alexander Ruzmakin 111

Plasma Relaxation and Helicity Conservation

Magnetic Helicity and Relaxation: Theory
Paul M. Bellan 119

Study of Magnetic Helicity and Relaxation Phenomena in Laboratory Plasmas
Masaaki Yamada 129

Magnetic Helicity and Relaxation Phenomena in the Solar Corona
E. R. Priest 141

Magnetic Helicity and Stability in Solar Corona
K. Kusano 149

The Role of Helicity in Magnetic Reconnection

The Evolution of Magnetic Helicity Under Reconnection
G. Hornig 15 7

Helicity, Reconnection, and Dynamo Effects
Hantao Ji 167

Measurements of Helicity and Reconnectioin Electron MHD Plasmas
R. L. Stenzel, J. M. Urrutia, and M.C. Griskey 179

The Role of Helicity in Magnetic Reconnection 3D: Numerical Simulations
Spiro K. Antiochos and C. Richard DeVote 187

Helicity and Reconnectioinn the Solar Corona: Observations
Richard C. Canfield and Alexei A. Pertsoy 197

The Role of Reconnectioin n the Formation of Flux Ropes in the Solar Wind
J. T. Gosling 205

Solar Outer Atmosphere and Magnetosphere

Photospher Micotions as a Source of Twist in Coronal Magnetic Fields
A. A. van Ballegooijen 213

Magnetic Helicity in Solar Filamentas and Coronal Mass Ejections
D. M. Rust 221

Solar Flares, Jets, and Helicity
Kazunari Shibata 229

Solar-Cycle, Radial and Latitudinal Variations of Magnetic Helicity: IMF Observations
Charles W. Smith 239

Magnetic Helicity and Homogeneous Turbulence Models
William H. Matthaeus 247

Role of Magnetic Helicity in Cosmic Ray Scattering
John W. Bieber 257

The Role of Magnetic Helicity in Magnetospheric Physics
Andrew N. Wright 267

The Role of Coarse-Grained Helicity and Self-Organized Criticality in Magnetotail Dynamics
Tom Chang 277

Astrophysical Applications

Galactic and Accretion Disk Dynamos
Ethan T. Vishniac 285

Jets from Magnetized Accretion Disks
Ryoji Matsumoto 293


Magnetic Helicity in Space and Laboratory Plasmas: Editorial Summary
Michael Brown, Richard Canfield, George Field, Russell Kulsrud, Alexei Pevtsov, Robert Rosner, and Norbert Seehafer 301

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