Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Chaos of Field Lines and Charged Particle Dynamics

  • Sadrilla Abdullaev

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

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Sadrilla Abdullaev
    Pages 1-17
  3. Sadrilla Abdullaev
    Pages 19-45
  4. Sadrilla Abdullaev
    Pages 47-73
  5. Sadrilla Abdullaev
    Pages 93-120
  6. Sadrilla Abdullaev
    Pages 121-163
  7. Sadrilla Abdullaev
    Pages 165-199
  8. Sadrilla Abdullaev
    Pages 201-225
  9. Sadrilla Abdullaev
    Pages 295-331
  10. Back Matter
    Pages 333-412

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.


Analytical Models of Equilibrium Magnetic Fields Asymptotic Analysis of Magnetic Perturbations Chaos Theory of Hamiltonian Systems Dynamical Chaos Hamiltonian Systems Magnetic Perturbations in Fusion Devices Magnetic Stochasticity Magnetically Confined Fusion Plasmas Movement of Charged Particels in Complicated Magnetic Fields Transport of Charged Particles in Tokamaks

Authors and affiliations

  • Sadrilla Abdullaev
    • 1
  1. 1.Inst. of Energy and Climate ResearchForschungszentrum JülichJülichGermany

Bibliographic information