Magnetic Stochasticity in Magnetically Confined Fusion Plasmas
Chaos of Field Lines and Charged Particle Dynamics
Seiten
2016
|
1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-34971-8 (ISBN)
Springer International Publishing (Verlag)
978-3-319-34971-8 (ISBN)
This book examines modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas. It gives simple analytical presentations of movement of charged particles in complicated magnetic fields.
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.
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.
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.
| Erscheinungsdatum | 02.09.2016 |
|---|---|
| Reihe/Serie | Springer Series on Atomic, Optical, and Plasma Physics |
| Zusatzinfo | XXIV, 412 p. 175 illus., 27 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik |
| Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Plasmaphysik | |
| Schlagworte | Analytical Models of Equilibrium Magnetic Fields • Applied and Technical Physics • applied physics • Asymptotic Analysis of Magnetic Perturbations • Atoms and Molecules in Strong Fields, Laser Matter • Chaos Theory of Hamiltonian Systems • Dynamical Chaos • Hamiltonian systems • Magnetically Confined Fusion Plasmas • Magnetic Perturbations in Fusion Devices • Magnetic Stochasticity • Mathematical Physics • Movement of Charged Particels in Complicated Magne • Movement of Charged Particels in Complicated Magnetic Fields • Numerical and Computational Physics • Physics and Astronomy • Plasma physics • Transport of Charged Particles in Tokamaks |
| ISBN-10 | 3-319-34971-6 / 3319349716 |
| ISBN-13 | 978-3-319-34971-8 / 9783319349718 |
| Zustand | Neuware |
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