Nonlinear magnetohydrodynamics

Bibliographic Information

Nonlinear magnetohydrodynamics

Dieter Biskamp

(Cambridge monographs on plasma physics, 1)

Cambridge University Press, 1993

  • : hard

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Includes bibliographical references and index

Description and Table of Contents

Description

A self-contained introduction to magnetohydrodynamics (MHD), with emphasis on nonlinear processes. Chapters 2 to 4 outline the conventional aspects of MHD theory, magnetostatic equilibrium and linear stability theory, which form a natural basis for the topics in the subsequent chapters. The main part, chapters 5 to 7, presents nonlinear theory, starting with the evolutions and saturations of individual ideas and resistive instabilities, continuing with a detailed analysis of magnetic reconnection, and concluding with the most complex nonlinear behaviour, that of MHD turbulence. The last chapters describe three important applications of the theory: disruptive processes in tokamaks, MHD effects in reversed-field pinches, and solar flares. In the presentation the focus is more on physical mechanisms than on special formalisms. The book is essential reading for researchers and graduate students interested in MHD processes both in laboratory and in astrophysical plasmas.

Table of Contents

  • Preface
  • 1. Introduction
  • 2. Basic properties of magnetohydrodynamics
  • 3. Magnetostatic equilibria
  • 4. Normal modes and instability
  • 5. Nonlinear evolution of MHD instabilities
  • 6. Magnetic reconnection
  • 7. MHD turbulence
  • 8. Disruptive processes in tokamak plasmas
  • 9. Dynamics of the reversed-field pinch
  • 10. Solar flares
  • Outlook
  • References
  • Index.

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