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Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Chaos of Field Lines and Charged Particle Dynamics

  • Book
  • © 2014

Overview

Authors:
  1. Sadrilla Abdullaev

    1. Inst. of Energy and Climate Research, Forschungszentrum Jülich, Jülich, Germany

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  • Provides information to transport of charged particles in tokamaks
  • Presents magnetic perturbations in modern fusion devices
  • Explains analytical models of equilibrium magnetic fields
  • Gives simple analytical presentations of movement of charged particels in complicated magnetic fields
  • Gives an asymptotic analysis of magnetic perturbations in realistic toroidal fusion device
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics (SSAOPP, volume 78)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Hamiltonian Representation of Magnetic Field

    • Sadrilla Abdullaev
    Pages 1-17

  3. Magnetic Fields of Equilibrium Plasmas

    • Sadrilla Abdullaev
    Pages 19-45

  4. Magnetic Field Perturbations

    • Sadrilla Abdullaev
    Pages 47-73

  5. Hamilton Equations for Guiding Center Motion of Particles

    • Sadrilla Abdullaev
    Pages 75-91

  6. Drift Orbits in Equilibrium Plasmas

    • Sadrilla Abdullaev
    Pages 93-120

  7. Methods to Study the Hamiltonian Systems

    • Sadrilla Abdullaev
    Pages 121-163

  8. Onset of Dynamical Chaos: Mathematical Aspects

    • Sadrilla Abdullaev
    Pages 165-199

  9. Onset of Dynamical Chaos: Physical Aspects

    • Sadrilla Abdullaev
    Pages 201-225

  10. Magnetic Field Structure Induced by Resonant Magnetic Perturbations in Tokamaks

    • Sadrilla Abdullaev
    Pages 227-261

  11. Transport of Field Lines and Particles in a Stochastic Magnetic Field

    • Sadrilla Abdullaev
    Pages 263-293

  12. Transport of Particles in a Turbulent Field

    • Sadrilla Abdullaev
    Pages 295-331

  13. Back Matter

    Pages 333-412
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Keywords

About this book

This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. The analytical models describing the generic features of equilibrium magnetic fields and magnetic perturbations in modern fusion devices are presented. It describes mathematical and physical aspects of onset of chaos, generic properties of the structure of stochastic magnetic fields, transport of charged particles in tokamaks induced by magnetic perturbations, new aspects of particle turbulent transport, etc. The presentation is based on the classical and new unique mathematical tools of Hamiltonian dynamics, like the action--angle formalism, classical perturbation theory, canonical transformations of variables, symplectic mappings, the Poincaré-Melnikov integrals. They are extensively used for analytical studies as well as for numerical simulations of magnetic field lines, particle dynamics, their spatial structures and statistical properties. The numerous references to articles on the latest development in the area are provided. The book is intended for graduate students and researchers who interested in the modern problems of magnetic stochasticity in magnetically confined fusion plasmas. It is also useful for physicists and mathematicians interested in new methods of Hamiltonian dynamics and their applications.

Authors and Affiliations

  • Inst. of Energy and Climate Research, Forschungszentrum Jülich, Jülich, Germany

    Sadrilla Abdullaev

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