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Magnetohydrodynamics of Plasma Relaxation

Author: S. Ortolani

Publisher: World Scientific

Published: 1993

Total Pages: 208

ISBN-13: 9789810208608

This book gives a concise description of the phenomenon of plasma relaxation from the point of view of resistive magnetohydrodynamic (MHD) theory. Magnetized plasmas relax when they seek their natural state of lowest energy subject to certain topological constraints imposed by the magnetic field. Relaxation may be fast and dynamic or slow and gradual depending on the external environment in which the magnetoplasma system evolves. Relaxation occurs throughout the universe and may describe such diverse phenomena as dynamos, solar flares, and the operation of magnetic fusion energy experiments. This book concentrates on the dynamic, rather than variational aspects of relaxation. While the processes described are general, the book focuses on the reversed-field pinch experiment as a paradigm for plasma relaxation and dynamo action. Examples from other branches of plasma physics are also discussed. The authors draw upon their extensive experience in numerical and experimental studies of relaxation.

Lectures in Magnetohydrodynamics

Author: Dalton D. Schnack

Publisher: Springer

Published: 2009-08-11

Total Pages: 317

ISBN-13: 3642006884

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Magnetohydrodynamics, or MHD, is a theoretical way of describing the statics and dynamics of electrically conducting uids. The most important of these uids occurring in both nature and the laboratory are ionized gases, called plasmas. These have the simultaneous properties of conducting electricity and being electrically charge neutral on almost all length scales. The study of these gases is called plasma physics. MHD is the poor cousin of plasma physics. It is the simplest theory of plasma dynamics. In most introductory courses, it is usually afforded a short chapter or lecture at most: Alfven ́ waves, the kink mode, and that is it. (Now, on to Landau damping!) In advanced plasma courses, such as those dealing with waves or kinetic theory, it is given an even more cursory treatment, a brief mention on the way to things more profound and interesting. (It is just MHD! Besides, real plasma phy- cists do kinetic theory!) Nonetheless, MHD is an indispensable tool in all applications of plasma physics.

Lectures in Plasma Physics

Author: Claude Mercier

Publisher:

Published: 1987

Total Pages: 264

ISBN-13:

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Relaxation Dynamics in Laboratory and Astrophysical Plasmas

Author: Patrick H. Diamond

Publisher: World Scientific

Published: 2010

Total Pages: 332

ISBN-13: 9814291544

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This invaluable book provides a unique opportunity to embrace the complex and fascinating theory of relaxation processes in magnetized plasmas, both in astrophysics and in controlled fusion plasmas. The subjects range from dynamo and reconnection processes in magneto-hydrodynamics and electromagnetic turbulence to fast transport events in self-organized turbulence. Such phenomena, recognized as key bolts in our present understanding, turn out to be extremely challenging for theoretical models. This book efficiently helps to bridge our understanding and description of such processes, analogously observed in laboratory and astrophysical plasmas.

Extended Magnetohydrodynamic Modeling of Plasma Relaxation Dynamics in the Reversed-field Pinch

Author:

Publisher:

Published: 2015

Total Pages: 0

ISBN-13:

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Nonlinear plasma relaxation dynamics in reversed-field pinch (RFP) conditions are investigated using extended magnetohydrodynamic modeling with the NIMROD code [Sovinec et. al. JCP 195 (2004)]. The computations display quasi-periodic relaxation events, consistent with the RFP sawtooth cycle. The first event occurs from a saturated single-helicity state and is not representative of the multi-helicity conditions in typical RFP discharges. The MHD and Hall dynamo electric fields cooperate during the initial relaxation, and the change in the plasma flow parallel to the magnetic field is in the direction of the Lorentz force density and opposite to the change in parallel current density. In subsequent events, the MHD dynamo relaxes the parallel current and is opposed by the Hall dynamo, which is smaller in magnitude. The associated Lorentz force density drives changes in flow that are in the same direction as the change in current, in agreement with experimental observations [Kuritsyn et. al. POP 055903 (2009)]. Changes in total momentum are due to viscous coupling to the wall; radial transport occurs through Maxwell stresses associated with current relaxation. The magnetic and hybrid helicity are well conserved relative to magnetic energy over the relaxation events. The helicities change by

Spheromaks: A Practical Application Of Magnetohydrodynamic Dynamos And Plasma Self-organization

Author: Paul M Bellan

Publisher: World Scientific

Published: 2000-01-22

Total Pages: 357

ISBN-13: 1783262192

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Spheromaks are easily formed, self-organized magnetized plasma configurations that have intrigued plasma physicists for over two decades. Sometimes called magnetic vortices, magnetic smoke rings, or plasmoids, spheromaks first attracted attention as a possible controlled thermonuclear plasma confinement scheme, but are now known to have many other applications.This book begins with a review of the basic concepts of magnetohydrodynamics and toroidal magnetic configurations, then provides a detailed exposition of the 3D topological concepts underlying spheromak physics, namely magnetic helicity, Taylor relaxation, force-free equilibria, and tilt stability. It then examines spheromak formation techniques, driven and isolated configurations, dynamo concepts, practical experimental issues, diagnostics, and a number of applications. The book concludes by showing how spheromak ideas are closely related to the physics of solar prominences and interplanetary magnetic clouds./a

The Plasma in a Magnetic Field

Author: Rolf Karl Michael Landshoff

Publisher:

Published: 1958

Total Pages: 178

ISBN-13:

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Relaxation Dynamics In Laboratory And Astrophysical Plasmas

Author: Patrick H Diamond

Publisher: World Scientific

Published: 2009-12-21

Total Pages: 332

ISBN-13: 9814466069

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Topics in Magnetohydrodynamic Topology, Reconnection and Stability Theory

Author: David MacTaggart

Publisher: Springer

Published: 2019-07-19

Total Pages: 265

ISBN-13: 3030163431

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The book presents an advanced but accessible overview of some of the most important sub-branches of magnetohydrodynamics (MHD): stability theory, magnetic topology, relaxation theory and magnetic reconnection. Although each of these subjects is often treated separately, in practical MHD applications they are normally inseparable. MHD is a highly active field of research.The book is written for advanced undergraduates, postgraduates and researchers working on MHD-related research in plasma physics and fluid dynamics.

Topics in Magnetohydrodynamics

Author: Linjin Zheng

Publisher: BoD – Books on Demand

Published: 2012-03-09

Total Pages: 224

ISBN-13: 9535102117

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To understand plasma physics intuitively one need to master the MHD behaviors. As sciences advance, gap between published textbooks and cutting-edge researches gradually develops. Connection from textbook knowledge to up-to-dated research results can often be tough. Review articles can help. This book contains eight topical review papers on MHD. For magnetically confined fusion one can find toroidal MHD theory for tokamaks, magnetic relaxation process in spheromaks, and the formation and stability of field-reversed configuration. In space plasma physics one can get solar spicules and X-ray jets physics, as well as general sub-fluid theory. For numerical methods one can find the implicit numerical methods for resistive MHD and the boundary control formalism. For low temperature plasma physics one can read theory for Newtonian and non-Newtonian fluids etc.