Magnetic stochasticity in magnetically confined fusion plasmas : chaos of field lines and charged particle dynamics

著者

    • Abdullaev, Sadrilla

書誌事項

Magnetic stochasticity in magnetically confined fusion plasmas : chaos of field lines and charged particle dynamics

Sadrilla Abdullaev

(Springer series on atomic, optical, and plasma physics, Volume 78)

Springer, c2014

大学図書館所蔵 件 / 4

この図書・雑誌をさがす

注記

Includes bibliographical references and index

Also published electronically

内容説明・目次

内容説明

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 Poincare-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.

目次

Hamiltonian Representation of Magnetic Field.- Magnetic Field Structure of Equilibrium Plasmas.- Magnetic Field Perturbations.-Hamiltonian Equations for the Guiding Center Motion of Particles.- Drift Orbits in Equilibrium Plasmas.- Methods to Study the Hamiltonian Systems.- Onset of Dynamical Chaos: Mathematical Aspects.- Onset of Dynamical Chaos: Physical Aspects.- Magnetic Field Structure Induced by Resonant Magnetic Perturbations in Tokamaks.- Transport of Field Lines and Particles in a Stochastic Magnetic Field.- Transport of Particles in a Turbulent Field.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ