A New Approach to Magnetohydrodynamic Stability: II. Σ-Stable Diffuse Pinch Configurations (Classic Reprint) - Hardcover

P. H. Sakanaka

9780656026548: A New Approach to Magnetohydrodynamic Stability: II. Σ-Stable Diffuse Pinch Configurations (Classic Reprint)

Hardcover

ISBN 10: 0656026545 ISBN 13: 9780656026548

Publisher: Forgotten Books, 2018

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Explore how magnetohydrodynamic stability is analyzed beyond traditional methods.

This book presents a numerical study of a-stable diffuse linear pinch configurations, offering a fresh approach to predict stability in fusion-relevant plasmas.

In this work, the authors develop and apply a stability framework that avoids some pitfalls of local criteria. They focus on a-stability, derive practical conditions, and classify high-shear and low-shear configurations. The results connect theory to realistic configurations like Tokamak and B-reversed pinch, illustrating how toroidal effects and current profiles influence stability. The discussion includes numerical techniques, interpretation of growth rates, and implications for experimental confinement.

How a-stability differs from classical MHD stability approaches
How toroidal periodicity and current profiles affect stability across several configuration families
Numerical methods for testing stability across multiple equilibrium profiles
Insights into which profiles maximize stability while remaining physically realizable

Ideal for readers of plasma physics and fusion theory, this edition speaks to researchers and students seeking a rigorous yet accessible treatment of diffuse pinch stability and its practical implications for confinement design.

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