A New Approach to Magnetohydrodynamic Stability: I (Classic Reprint)

J. P. Goedbloed, P. H. Sakanaka

ISBN 10: 1333308590 / ISBN 13: 9781333308599

Published by Forgotten Books, 2016

About this Item

Print on Demand. This book takes an innovative look at the stability of magnetohydrodynamic systems, a field of physics related to thermonuclear fusion. The author introduces a new stability concept based on the amount of time a system remains stable rather than demanding stability for an infinite amount of time. This concept allows for a more realistic approach to stability, especially for systems needing stability only long enough to achieve fusion. The book applies this concept to the diffuse linear pinch, developing a modified energy principle to determine stability and demonstrating its application through numerical computations. The author also connects this concept to the spectral analysis of the unstable side of the spectrum, proving the Sturmian property of the equation of motion and showing that the discrete spectrum consists of Sturmian and anti-Sturmian spectra separated by continuous spectra. The author concludes by discussing the implications of their findings for the stability of the diffuse linear pinch and the broader field of magnetohydrodynamic stability, offering new insights for future research and the advancement of fusion technology. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781333308599_0

Bibliographic Details

• Title: A New Approach to Magnetohydrodynamic Stability: I (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2016
• Language: English
• ISBN 10: 1333308590
• ISBN 13: 9781333308599
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

A practical stability concept for fusion plasmas that focuses on what matters in the short term.

This authoritative work introduces a stability idea called a-stability. It relaxes the usual requirement by asking only for stability over times relevant to fusion. The approach combines a modified energy principle with elements of normal-mode analysis to offer a clear, application-focused framework. Though grounded in magnetohydrodynamics, it is presented in a way that can help readers understand stability problems across physical systems studied over limited time.

• Learn how a-stability differs from traditional stability concepts and why it can be more practical for fusion-relevant problems.
• See how a modified energy principle provides necessary and sufficient criteria in this framework.
• Explore applications to diffuse linear pinch and related equilibria, including how stability classification emerges.
• Understand the link between stability analysis and spectral properties of the system, with insights into Suydam modes and localization effects.

Ideal for readers of technical plasma physics, fusion theory, and advanced stability analyses seeking a clear, time-focused approach to magnetohydrodynamic stability.

About the Author

J. P. (Hans) Goedbloed is an advisor at the FOM-Institute for Plasma Physics and Professor Emeritus of theoretical plasma physics at Utrecht University. He has been a visiting scientist at laboratories in the Soviet Union, the United States, Brazil and Europe. He has taught at Campinas, Rio de Janeiro, Sao Paulo, MIT, K. U. Leuven, and regularly at Amsterdam Free University and Utrecht University. For many years he coordinated a large-scale computational effort with the Dutch Science Organization on Fast Changes in Complex Flows involving scientists of different disciplines.