Springer Series on Atomic, Optical, and Plasma Physics

Magnetic Stochasticity in Magnetically Confined Fusion Plasmas

Chaos of Field Lines and Charged Particle Dynamics

Authors: Abdullaev, Sadrilla

  • 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
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eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-01890-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-01889-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-34971-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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.

Table of contents (11 chapters)

  • Hamiltonian Representation of Magnetic Field

    Abdullaev, Sadrilla

    Pages 1-17

  • Magnetic Fields of Equilibrium Plasmas

    Abdullaev, Sadrilla

    Pages 19-45

  • Magnetic Field Perturbations

    Abdullaev, Sadrilla

    Pages 47-73

  • Hamilton Equations for Guiding Center Motion of Particles

    Abdullaev, Sadrilla

    Pages 75-91

  • Drift Orbits in Equilibrium Plasmas

    Abdullaev, Sadrilla

    Pages 93-120

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-01890-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-01889-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-34971-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Magnetic Stochasticity in Magnetically Confined Fusion Plasmas
Book Subtitle
Chaos of Field Lines and Charged Particle Dynamics
Authors
Series Title
Springer Series on Atomic, Optical, and Plasma Physics
Series Volume
78
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01890-4
DOI
10.1007/978-3-319-01890-4
Hardcover ISBN
978-3-319-01889-8
Softcover ISBN
978-3-319-34971-8
Series ISSN
1615-5653
Edition Number
1
Number of Pages
XXIV, 412
Number of Illustrations and Tables
148 b/w illustrations, 27 illustrations in colour
Topics