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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103319018892
ISBN-139783319018898
eBay Product ID (ePID)168459995
Product Key Features
Number of PagesXxiv, 412 Pages
LanguageEnglish
Publication NameMagnetic Stochasticity in Magnetically Confined Fusion Plasmas : Chaos of Field Lines and Charged Particle Dynamics
SubjectPhysics / Magnetism, Physics / Mathematical & Computational, Physics / General, Physics / Atomic & Molecular
Publication Year2013
TypeTextbook
AuthorSadrilla Abdullaev
Subject AreaScience
SeriesSpringer Series on Atomic, Optical, and Plasma Physics Ser.
FormatHardcover
Dimensions
Item Weight273.2 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2013-948352
Dewey Edition23
Series Volume Number78
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal621.484
Table Of ContentHamiltonian 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.
SynopsisThis 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 Poincar -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., 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 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.
LC Classification NumberQC170-197
